Edit Profile Arutyunov, Gleb Eduardovich Compute Distance To: Compute Author ID: arutyunov.gleb-e Published as: Arutyunov, G.; Arutyunov, G. E.; Arutyunov, G. È.; Arutyunov, Gleb; Arutyunov, Gleb E. Homepage: https://unith.desy.de/research/strings/arutyunov/ External Links: Math-Net.Ru Documents Indexed: 75 Publications since 1993, including 1 Book all top 5 Co-Authors 7 single-authored 33 Frolov, Sergeĭ Anatol’evich 9 Sokatchev, Emery 8 Medvedev, P. B. 6 de Leeuw, Marius 6 van Tongeren, Stijn J. 4 Aref’eva, Irina Yaroslavna 4 Klabbers, Rob 4 Petkou, Anastasios Christou 3 Chekhov, Leonid O. 3 Medina-Rincon, Daniel 3 Savin, Sergeĭ I. 2 Eden, Burkhard 2 Heinze, Martin 2 Olivucci, Enrico 2 Penati, Silvia 2 Santambrogio, Alberto 2 Suzuki, Ryo 2 Torrielli, Alessandro 2 Tseytlin, Arkady Aleksandrovich 2 Zamaklar, Marija 1 Alday, Luis Fernando 1 Borsato, Riccardo 1 Bykov, Dmitriĭ Vladimirovich 1 Dolan, F. A. 1 Dorigoni, Daniele 1 Hoare, Ben 1 Isaev, Alexey P. 1 Osborn, Hugh 1 Plefka, Jan Christoph 1 Popowicz, Ziemowit 1 Roiban, Radu 1 Russo, Jorge G. 1 Savin, Sergei V. 1 Sfondrini, Alessandro 1 Staudacher, Matthias 1 Theisen, Stefan J. all top 5 Serials 22 Journal of High Energy Physics 17 Nuclear Physics. B 7 Theoretical and Mathematical Physics 5 Journal of Physics A: Mathematical and Theoretical 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Journal of Physics A: Mathematical and General 2 Physics Letters. B 2 Fortschritte der Physik 1 Classical and Quantum Gravity 1 Physics Letters. A 1 Journal of Geometry and Physics 1 Czechoslovak Journal of Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Unitext for Physics all top 5 Fields 69 Quantum theory (81-XX) 22 Relativity and gravitational theory (83-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Nonassociative rings and algebras (17-XX) 8 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 66 Publications have been cited 1,676 times in 790 Documents Cited by ▼ Year ▼ Foundations of the AdS\(_{5} \times\) S\(^{5}\) superstring: I. Zbl 1167.81028Arutyunov, Gleb; Frolov, Sergey 160 2009 Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model. Zbl 1245.81136Arutyunov, Gleb; Frolov, Sergey 86 2008 Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems. Zbl 1037.83017Arutyunov, G.; Frolov, S.; Russo, J.; Tseytlin, A. A. 80 2003 On string \(S\)-matrix, bound states and TBA. Zbl 1246.81182Arutyunov, Gleb; Frolov, Sergey 78 2007 Finite-size effects from giant magnons. Zbl 1200.83114Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija 70 2007 The off-shell symmetry algebra of the light-cone AdS\(_{5} \times S^{5}\) superstring. Zbl 1113.81106Arutyunov, Gleb; Frolov, Sergey; Plefka, Jan; Zamaklar, Marija 68 2007 Operator product expansion of the lowest weight CPOs in \(\mathcal N=4\) \(\text{SYM}_ 4\) at strong coupling. Zbl 1043.81709Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C. 61 2000 Scale invariance of the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring, T-duality and modified type II equations. Zbl 1332.81167Arutyunov, G.; Frolov, S.; Hoare, B.; Roiban, R.; Tseytlin, A. A. 56 2016 Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence. Zbl 1059.81567Arutyunov, G.; Dolan, F. A.; Osborn, H.; Sokatchev, E. 53 2003 On \(\mathrm{AdS}_5\times S^5\) string \(S\)-matrix. Zbl 1248.83127Arutyunov, Gleb E.; Frolov, Sergeĭ Anatol’evich 52 2006 Five-loop Konishi from the mirror TBA. Zbl 1272.81133Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 47 2010 Scalar quartic couplings in type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0992.83085Arutyunov, G.; Frolov, S. 47 2000 Exploring the mirror TBA. Zbl 1288.81088Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 46 2010 Puzzles of \(\eta\) deformed \(\mathrm{AdS}_{5}\times S^{5}\). Zbl 1388.83726Arutyunov, Gleb; Borsato, Riccardo; Frolov, Sergey 42 2015 The dressing factor and crossing equations. Zbl 1179.81156Arutyunov, Gleb; Frolov, Sergey 41 2009 Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in \(N=4\) SYM\(_4\). Zbl 0982.81049Arutyunov, G.; Eden, B.; Petkou, A. C.; Sokatchev, E. 40 2002 On the origin of supergravity boundary terms in the AdS/CFT correspondence. Zbl 0953.83057Arutyunov, G. E.; Frolov, S. A. 40 1999 The exact spectrum and mirror duality of the \((\mathrm{AdS}_5\times S^5)_\eta\) superstring. Zbl 1317.81211Arutyunov, G.; de Leeuw, M.; van Tongeren, S. 37 2015 The S-matrix of string bound states. Zbl 1190.81132Arutyunov, Gleb; Frolov, Sergey 37 2008 On a large \(N\) degeneracy in \(N=4\) SYM and the AdS/CFT correspondence. Zbl 1059.81568Arutyunov, G.; Sokatchev, E. 31 2003 Twisting the mirror TBA. Zbl 1294.81158Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 29 2011 Perturbative and instanton corrections to the OPE of CPOs in \(N=4\) SYM\(_4\). Zbl 1097.81567Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C. 27 2001 The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring. Zbl 1194.81181Arutyunov, G.; De Leeuw, M.; Torrielli, A. 26 2009 The quantum deformed mirror TBA II. Zbl 1342.81377Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 25 2013 On non-renormalization and OPE in superconformal field theories. Zbl 0991.81107Arutyunov, G.; Eden, B.; Sokatchev, E. 25 2001 Four graviton scattering amplitude for \(S^N{\mathbb{R}}^8\) supersymmetric orbifold sigma model. Zbl 1031.81581Arutyunov, G. E.; Frolov, S. A. 22 1998 Double Wick rotating Green-Schwarz strings. Zbl 1388.81470Arutyunov, Gleb; van Tongeren, Stijn J. 21 2015 Non-protected operators in \(N=4\) SYM and multiparticle states of \(\text{AdS}_5\) SUGRA. Zbl 0998.81054Arutyunov, G.; Penati, S.; Petkou, A. C.; Santambrogio, A.; Sokatchev, E. 20 2002 Virasoro amplitude from the \(S^N R^{24}\)-orbifold sigma model. Zbl 0976.81037Arutyunov, G. E.; Frolov, S. A. 19 1998 Deformed Neumann model from spinning strings on \({\mathrm{AdS}}_5\times\mathrm{S}^5_{\eta}\). Zbl 1333.81303Arutyunov, Gleb; Medina-Rincon, Daniel 18 2014 The quantum deformed mirror TBA I. Zbl 1397.81215Arutyunov, Gleb; de Leeuw, Marius; van Tongeren, Stijn J. 17 2012 On the correspondence between gravity fields and CFT operators. Zbl 0959.81062Arutyunov, Gleb; Frolov, Sergey 17 2000 Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double. Zbl 0925.81437Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 16 1997 Two-loop commuting charges and the string/gauge duality. Zbl 1229.81217Arutyunov, Gleb; Staudacher, Matthias 15 2005 Four-point correlators of BPS operators in \(N=4\) SYM at order \(g^4\). Zbl 1058.81050Arutyunov, G.; Penati, S.; Santambrogio, A.; Sokatchev, E. 15 2003 Quadratic action for type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0951.83058Arutyunov, Gleb E.; Frolov, Sergei A. 15 1999 Comments on the mirror TBA. Zbl 1296.81076Arutyunov, Gleb; Frolov, Sergey 14 2011 Implications of superconformal symmetry for interacting (2,0) tensor multiplets. Zbl 0996.81089Arutyunov, G.; Sokatchev, E. 13 2002 Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group. Zbl 0892.58039Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 13 1997 Towards 4-point correlation functions of any \( \frac{1}{2} \)-BPS operators from supergravity. Zbl 1378.83090Arutyunov, Gleb; Frolov, Sergey; Klabbers, Rob; Savin, Sergei 12 2017 Spinning strings in \(\mathrm{AdS}_4\times \mathbb{CP}^3\) and quantum corrections. Zbl 1168.81379Alday, Luis F.; Arutyunov, Gleb; Bykov, Dmitri 12 2009 Integrability of the \(\eta\)-deformed Neumann-Rosochatius model. Zbl 1357.81135Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 10 2017 Exceptional operators in \( \mathcal{N} = 4 \) super Yang-Mills. Zbl 1397.81130Arutyunov, Gleb; Frolov, Sergey; Sfondrini, Alessandro 10 2012 Bound states in the mirror TBA. Zbl 1309.81194Arutyunov, Gleb; Frolov, Sergey; van Tongeren, Stijn J. 10 2012 On Yangian and long representations of the centrally extended \( \mathfrak{s}\mathfrak{u}\left( {\left. 2 \right|2} \right) \) superalgebra. Zbl 1290.81043Arutyunov, Gleb; De Leeuw, Marius; Torrielli, Alessandro 10 2010 \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0973.81044Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 10 1998 Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation. Zbl 1398.83119Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 8 2018 On the Hamiltonian structure of the spin Ruijsenaars-Schneider model. Zbl 0938.37060Arutyunov, G. E.; Frolov, S. A. 7 1998 Quantum dynamical R-matrices and quantum Frobenius group. Zbl 0892.17015Arutyunov, G. E.; Frolov, S. A. 6 1998 Four-point functions of all-different-weight chiral primary operators in the supergravity approximation. Zbl 1398.83118Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 5 2018 Conformal fields in the pp-wave limit. Zbl 1226.81239Arutyunov, Gleb; Sokatchev, Emery 5 2002 Gravity-scalar fluctuations in holographic RG flow geometries. Zbl 0961.83044Arutyunov, G.; Frolov, S.; Theisen, S. 5 2000 Bicovariant 3D calculus for SL\(_ q\)(2) from Poisson-Lie structures. Zbl 0826.17015Aref’eva, I. Ya.; Arutyunov, G. E.; Medvedev, P. B. 5 1994 Resurgence of the dressing phase for \(\mathrm{AdS}_{5} {\times} S^{5}\). Zbl 1373.81305Arutyunov, Gleb; Dorigoni, Daniele; Savin, Sergei 3 2017 Generating equation for \(r\)-matrices related to dynamical systems of Calogero type. Zbl 1037.81542Arutyunov, G. E.; Medvedev, P. B. 3 1996 Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model. Zbl 1416.81089Arutyunov, Gleb; Klabbers, Rob; Olivucci, Enrico 2 2019 Elements of classical and quantum integrable systems. Zbl 1422.82002Arutyunov, Gleb 2 2019 Superintegrability of geodesic motion on the sausage \(\mathrm{model}^{*}\). Zbl 1369.81074Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 2 2017 A note on the perturbative properties of BPS operators. Zbl 1030.83024Arutyunov, Gleb; Sokatchev, Emery 2 2003 Poincaré-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups. Zbl 0864.17026Arutyunov, G. E.; Isaev, A. P.; Popowicz, Z. 2 1995 Quantum dynamical \(R\)-matrices. Zbl 0957.81005Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1999 \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0978.81509Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1997 Graded Poisson-Lie structures on general linear groups. Zbl 0941.17011Arutyunov, G. E.; Medvedev, P. B. 1 1996 Graded Poisson Lie structures on classical complex Lie groups. Zbl 0852.17017Arutyunov, G. E. 1 1996 Bicovariant differential calculus on quantum groups from Poisson Lie structures. Zbl 0884.58008Aref’eva, I. Ya.; Arutyunov, G. E.; Medvedev, P. B. 1 1995 On Poisson-Lie structure on the external algebra of the classical Lie groups. Zbl 0860.17034Arutyunov, G. E.; Medvedev, P. B. 1 1995 Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model. Zbl 1416.81089Arutyunov, Gleb; Klabbers, Rob; Olivucci, Enrico 2 2019 Elements of classical and quantum integrable systems. Zbl 1422.82002Arutyunov, Gleb 2 2019 Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation. Zbl 1398.83119Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 8 2018 Four-point functions of all-different-weight chiral primary operators in the supergravity approximation. Zbl 1398.83118Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 5 2018 Towards 4-point correlation functions of any \( \frac{1}{2} \)-BPS operators from supergravity. Zbl 1378.83090Arutyunov, Gleb; Frolov, Sergey; Klabbers, Rob; Savin, Sergei 12 2017 Integrability of the \(\eta\)-deformed Neumann-Rosochatius model. Zbl 1357.81135Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 10 2017 Resurgence of the dressing phase for \(\mathrm{AdS}_{5} {\times} S^{5}\). Zbl 1373.81305Arutyunov, Gleb; Dorigoni, Daniele; Savin, Sergei 3 2017 Superintegrability of geodesic motion on the sausage \(\mathrm{model}^{*}\). Zbl 1369.81074Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 2 2017 Scale invariance of the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring, T-duality and modified type II equations. Zbl 1332.81167Arutyunov, G.; Frolov, S.; Hoare, B.; Roiban, R.; Tseytlin, A. A. 56 2016 Puzzles of \(\eta\) deformed \(\mathrm{AdS}_{5}\times S^{5}\). Zbl 1388.83726Arutyunov, Gleb; Borsato, Riccardo; Frolov, Sergey 42 2015 The exact spectrum and mirror duality of the \((\mathrm{AdS}_5\times S^5)_\eta\) superstring. Zbl 1317.81211Arutyunov, G.; de Leeuw, M.; van Tongeren, S. 37 2015 Double Wick rotating Green-Schwarz strings. Zbl 1388.81470Arutyunov, Gleb; van Tongeren, Stijn J. 21 2015 Deformed Neumann model from spinning strings on \({\mathrm{AdS}}_5\times\mathrm{S}^5_{\eta}\). Zbl 1333.81303Arutyunov, Gleb; Medina-Rincon, Daniel 18 2014 The quantum deformed mirror TBA II. Zbl 1342.81377Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 25 2013 The quantum deformed mirror TBA I. Zbl 1397.81215Arutyunov, Gleb; de Leeuw, Marius; van Tongeren, Stijn J. 17 2012 Exceptional operators in \( \mathcal{N} = 4 \) super Yang-Mills. Zbl 1397.81130Arutyunov, Gleb; Frolov, Sergey; Sfondrini, Alessandro 10 2012 Bound states in the mirror TBA. Zbl 1309.81194Arutyunov, Gleb; Frolov, Sergey; van Tongeren, Stijn J. 10 2012 Twisting the mirror TBA. Zbl 1294.81158Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 29 2011 Comments on the mirror TBA. Zbl 1296.81076Arutyunov, Gleb; Frolov, Sergey 14 2011 Five-loop Konishi from the mirror TBA. Zbl 1272.81133Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 47 2010 Exploring the mirror TBA. Zbl 1288.81088Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 46 2010 On Yangian and long representations of the centrally extended \( \mathfrak{s}\mathfrak{u}\left( {\left. 2 \right|2} \right) \) superalgebra. Zbl 1290.81043Arutyunov, Gleb; De Leeuw, Marius; Torrielli, Alessandro 10 2010 Foundations of the AdS\(_{5} \times\) S\(^{5}\) superstring: I. Zbl 1167.81028Arutyunov, Gleb; Frolov, Sergey 160 2009 The dressing factor and crossing equations. Zbl 1179.81156Arutyunov, Gleb; Frolov, Sergey 41 2009 The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring. Zbl 1194.81181Arutyunov, G.; De Leeuw, M.; Torrielli, A. 26 2009 Spinning strings in \(\mathrm{AdS}_4\times \mathbb{CP}^3\) and quantum corrections. Zbl 1168.81379Alday, Luis F.; Arutyunov, Gleb; Bykov, Dmitri 12 2009 Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model. Zbl 1245.81136Arutyunov, Gleb; Frolov, Sergey 86 2008 The S-matrix of string bound states. Zbl 1190.81132Arutyunov, Gleb; Frolov, Sergey 37 2008 On string \(S\)-matrix, bound states and TBA. Zbl 1246.81182Arutyunov, Gleb; Frolov, Sergey 78 2007 Finite-size effects from giant magnons. Zbl 1200.83114Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija 70 2007 The off-shell symmetry algebra of the light-cone AdS\(_{5} \times S^{5}\) superstring. Zbl 1113.81106Arutyunov, Gleb; Frolov, Sergey; Plefka, Jan; Zamaklar, Marija 68 2007 On \(\mathrm{AdS}_5\times S^5\) string \(S\)-matrix. Zbl 1248.83127Arutyunov, Gleb E.; Frolov, Sergeĭ Anatol’evich 52 2006 Two-loop commuting charges and the string/gauge duality. Zbl 1229.81217Arutyunov, Gleb; Staudacher, Matthias 15 2005 Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems. Zbl 1037.83017Arutyunov, G.; Frolov, S.; Russo, J.; Tseytlin, A. A. 80 2003 Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence. Zbl 1059.81567Arutyunov, G.; Dolan, F. A.; Osborn, H.; Sokatchev, E. 53 2003 On a large \(N\) degeneracy in \(N=4\) SYM and the AdS/CFT correspondence. Zbl 1059.81568Arutyunov, G.; Sokatchev, E. 31 2003 Four-point correlators of BPS operators in \(N=4\) SYM at order \(g^4\). Zbl 1058.81050Arutyunov, G.; Penati, S.; Santambrogio, A.; Sokatchev, E. 15 2003 A note on the perturbative properties of BPS operators. Zbl 1030.83024Arutyunov, Gleb; Sokatchev, Emery 2 2003 Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in \(N=4\) SYM\(_4\). Zbl 0982.81049Arutyunov, G.; Eden, B.; Petkou, A. C.; Sokatchev, E. 40 2002 Non-protected operators in \(N=4\) SYM and multiparticle states of \(\text{AdS}_5\) SUGRA. Zbl 0998.81054Arutyunov, G.; Penati, S.; Petkou, A. C.; Santambrogio, A.; Sokatchev, E. 20 2002 Implications of superconformal symmetry for interacting (2,0) tensor multiplets. Zbl 0996.81089Arutyunov, G.; Sokatchev, E. 13 2002 Conformal fields in the pp-wave limit. Zbl 1226.81239Arutyunov, Gleb; Sokatchev, Emery 5 2002 Perturbative and instanton corrections to the OPE of CPOs in \(N=4\) SYM\(_4\). Zbl 1097.81567Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C. 27 2001 On non-renormalization and OPE in superconformal field theories. Zbl 0991.81107Arutyunov, G.; Eden, B.; Sokatchev, E. 25 2001 Operator product expansion of the lowest weight CPOs in \(\mathcal N=4\) \(\text{SYM}_ 4\) at strong coupling. Zbl 1043.81709Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C. 61 2000 Scalar quartic couplings in type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0992.83085Arutyunov, G.; Frolov, S. 47 2000 On the correspondence between gravity fields and CFT operators. Zbl 0959.81062Arutyunov, Gleb; Frolov, Sergey 17 2000 Gravity-scalar fluctuations in holographic RG flow geometries. Zbl 0961.83044Arutyunov, G.; Frolov, S.; Theisen, S. 5 2000 On the origin of supergravity boundary terms in the AdS/CFT correspondence. Zbl 0953.83057Arutyunov, G. E.; Frolov, S. A. 40 1999 Quadratic action for type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0951.83058Arutyunov, Gleb E.; Frolov, Sergei A. 15 1999 Quantum dynamical \(R\)-matrices. Zbl 0957.81005Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1999 Four graviton scattering amplitude for \(S^N{\mathbb{R}}^8\) supersymmetric orbifold sigma model. Zbl 1031.81581Arutyunov, G. E.; Frolov, S. A. 22 1998 Virasoro amplitude from the \(S^N R^{24}\)-orbifold sigma model. Zbl 0976.81037Arutyunov, G. E.; Frolov, S. A. 19 1998 \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0973.81044Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 10 1998 On the Hamiltonian structure of the spin Ruijsenaars-Schneider model. Zbl 0938.37060Arutyunov, G. E.; Frolov, S. A. 7 1998 Quantum dynamical R-matrices and quantum Frobenius group. Zbl 0892.17015Arutyunov, G. E.; Frolov, S. A. 6 1998 Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double. Zbl 0925.81437Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 16 1997 Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group. Zbl 0892.58039Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 13 1997 \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0978.81509Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1997 Generating equation for \(r\)-matrices related to dynamical systems of Calogero type. Zbl 1037.81542Arutyunov, G. E.; Medvedev, P. B. 3 1996 Graded Poisson-Lie structures on general linear groups. Zbl 0941.17011Arutyunov, G. E.; Medvedev, P. B. 1 1996 Graded Poisson Lie structures on classical complex Lie groups. Zbl 0852.17017Arutyunov, G. E. 1 1996 Poincaré-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups. Zbl 0864.17026Arutyunov, G. E.; Isaev, A. P.; Popowicz, Z. 2 1995 Bicovariant differential calculus on quantum groups from Poisson Lie structures. Zbl 0884.58008Aref’eva, I. Ya.; Arutyunov, G. E.; Medvedev, P. B. 1 1995 On Poisson-Lie structure on the external algebra of the classical Lie groups. Zbl 0860.17034Arutyunov, G. E.; Medvedev, P. B. 1 1995 Bicovariant 3D calculus for SL\(_ q\)(2) from Poisson-Lie structures. Zbl 0826.17015Aref’eva, I. Ya.; Arutyunov, G. E.; Medvedev, P. B. 5 1994 all cited Publications top 5 cited Publications all top 5 Cited by 779 Authors 39 Arutyunov, Gleb Eduardovich 29 Tseytlin, Arkady Aleksandrovich 22 Wulff, Linus 19 Frolov, Sergeĭ Anatol’evich 19 Gromov, Nikolay 19 Hoare, Ben 19 Yoshida, Kentaroh 18 Sokatchev, Emery 17 Eden, Burkhard 16 Sfondrini, Alessandro 15 Torrielli, Alessandro 14 Beisert, Niklas 14 Sax, Olof Ohlsson 14 van Tongeren, Stijn J. 13 Beccaria, Matteo 13 Heslop, Paul J. 13 Stefański, Bogdan jun. 12 Ahn, Changrim 12 Bajnok, Zoltán 12 de Leeuw, Marius 11 Borsato, Riccardo 11 Hollowood, Timothy J. 10 Alday, Luis Fernando 10 Kazakov, Vladimir A. 10 Korchemsky, Gregory P. 10 Mathur, Samir D. 10 Nepomechie, Rafael I. 9 Bombardelli, Diego 9 Bozhilov, Plamen 9 Macorini, Guido 9 Panigrahi, Kamal Lochan 9 Plefka, Jan Christoph 9 Roiban, Radu 9 Santambrogio, Alberto 9 Sundin, Per 9 Volin, Dmytro 8 Fleury, Thiago 8 Hegedűs, Árpád 8 Howe, Paul S. 8 Janik, Romuald A. 8 łukowski, Tomasz 8 Miramontes, J. Luis 8 Penati, Silvia 8 Vieira, Pedro G. 8 Zhou, Xinan 7 Drummond, James M. 7 Komatsu, Shota 7 Matsumoto, Takuya 7 Rastelli, Leonardo 7 Regelskis, Vidas 7 Roychowdhury, Dibakar 7 Sakamoto, Junichi 7 Tateo, Roberto 6 Bissi, Agnese 6 Bykov, Dmitriĭ Vladimirovich 6 Cavaglià, Andrea 6 Klabbers, Rob 6 Klusoň, Josef 6 Kyono, Hideki 6 Lunin, Oleg 6 McLoughlin, Tristan 6 Osborn, Hugh 6 Rashkov, Radoslav C. 6 Staudacher, Matthias 6 Suzuki, Ryo 6 Velizhanin, V. N. 6 Vicedo, Benoît 5 Abbott, Michael C. 5 Aprile, Francesco 5 Banerjee, Aritra 5 Bellucci, Stefano 5 Bianchi, Marco S. 5 Burrington, Benjamin A. 5 Caetano, João 5 Dolan, F. A. 5 Georgiou, George M. 5 Giombi, Simone 5 Hampton, Shaun 5 Klose, Thomas 5 Leurent, Sebastien 5 Levkovich-Maslyuk, Fedor 5 Liendo, Pedro 5 Maldacena, Juan M. 5 Pereira, Raul 5 Perlmutter, Eric 5 Sakatani, Yuho 5 Schomerus, Volker 5 Sieg, Christoph 5 Sorokin, Dmitri P. 5 Stanev, Yassen S. 5 Thompson, Daniel C. 4 Avan, Jean 4 Avery, Steven G. 4 Balog, János 4 Basso, Benjamin 4 Casteill, Pierre-Yves 4 Chowdhury, Borun D. 4 Dei, Andrea 4 Dekel, Amit 4 Fioravanti, Davide ...and 679 more Authors all top 5 Cited in 41 Serials 469 Journal of High Energy Physics 151 Nuclear Physics. B 22 Letters in Mathematical Physics 18 Physics Letters. B 16 International Journal of Modern Physics A 16 Journal of Physics A: Mathematical and Theoretical 15 Theoretical and Mathematical Physics 12 Communications in Mathematical Physics 12 Journal of Mathematical Physics 7 Journal of Statistical Mechanics: Theory and Experiment 5 Advances in High Energy Physics 4 Fortschritte der Physik 4 Proceedings of the Steklov Institute of Mathematics 3 Modern Physics Letters A 3 International Journal of Modern Physics B 2 Journal of Computational Physics 2 Physics Reports 2 Reviews in Mathematical Physics 2 Nuclear Physics, B, Proceedings Supplements 2 European Journal of Mechanics. B. Fluids 2 Living Reviews in Relativity 2 Physical Review D. Series III 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Physics Letters. A 1 Journal of Geometry and Physics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Annals of Physics 1 Linear Algebra and its Applications 1 International Journal of Modern Physics D 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Czechoslovak Journal of Physics 1 Journal of Nonlinear Mathematical Physics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 The European Physical Journal C. Particles and Fields 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in Mathematical Physics all top 5 Cited in 32 Fields 718 Quantum theory (81-XX) 293 Relativity and gravitational theory (83-XX) 85 Statistical mechanics, structure of matter (82-XX) 60 Nonassociative rings and algebras (17-XX) 58 Algebraic geometry (14-XX) 45 Associative rings and algebras (16-XX) 42 Dynamical systems and ergodic theory (37-XX) 40 Mechanics of particles and systems (70-XX) 26 Partial differential equations (35-XX) 24 Differential geometry (53-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Functional analysis (46-XX) 15 Topological groups, Lie groups (22-XX) 9 Statistics (62-XX) 7 Fluid mechanics (76-XX) 6 Special functions (33-XX) 6 Manifolds and cell complexes (57-XX) 4 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year