Edit Profile Arutyunov, Gleb Eduardovich Compute Distance To: Compute Author ID: arutyunov.gleb-e Published as: Arutyunov, Gleb; Arutyunov, G. E.; Arutyunov, G.; Arutyunov, Gleb E.; Arutyunov, G. È. Homepage: https://unith.desy.de/research/strings/arutyunov/ External Links: Math-Net.Ru Documents Indexed: 76 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 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 Bassi, Cristian 1 Borsato, Riccardo 1 Bykov, Dmitriĭ Vladimirovich 1 Dolan, F. A. 1 Dorigoni, Daniele 1 Hoare, Ben 1 Lacroix, Sylvain 1 Osborn, Hugh 1 Plefka, Jan Christoph 1 Popowicz, Ziemowit 1 Roiban, Radu 1 Russo, Jorge G. 1 Sfondrini, Alessandro 1 Staudacher, Matthias 1 Theisen, Stefan J. all top 5 Serials 23 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 70 Quantum theory (81-XX) 23 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 Open 67 Publications have been cited 1,310 times in 678 Documents Cited by ▼ Year ▼ Foundations of the AdS\(_{5} \times\) S\(^{5}\) superstring: I. Zbl 1167.81028Arutyunov, Gleb; Frolov, Sergey 109 2009 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. 71 2016 Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems. Zbl 1037.83017Arutyunov, G.; Frolov, S.; Russo, J.; Tseytlin, A. A. 66 2003 Finite-size effects from giant magnons. Zbl 1200.83114Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija 63 2007 On string \(S\)-matrix, bound states and TBA. Zbl 1246.81182Arutyunov, Gleb; Frolov, Sergey 56 2007 Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model. Zbl 1245.81136Arutyunov, Gleb; Frolov, Sergey 54 2008 Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence. Zbl 1059.81567Arutyunov, G.; Dolan, F. A.; Osborn, H.; Sokatchev, E. 54 2003 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. 45 2000 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 43 2007 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 \(\mathrm{AdS}_5\times S^5\) string \(S\)-matrix. Zbl 1248.83127Arutyunov, Gleb E.; Frolov, Sergeĭ Anatol’evich 36 2006 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. 35 2015 Puzzles of \(\eta\) deformed \(\mathrm{AdS}_{5}\times S^{5}\). Zbl 1388.83726Arutyunov, Gleb; Borsato, Riccardo; Frolov, Sergey 34 2015 Scalar quartic couplings in type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0992.83085Arutyunov, G.; Frolov, S. 31 2000 On a large \(N\) degeneracy in \(N=4\) SYM and the AdS/CFT correspondence. Zbl 1059.81568Arutyunov, G.; Sokatchev, E. 28 2003 The dressing factor and crossing equations. Zbl 1179.81156Arutyunov, Gleb; Frolov, Sergey 26 2009 Perturbative and instanton corrections to the OPE of CPOs in \(N=4\) SYM\(_4\). Zbl 1097.81567Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C. 25 2001 On non-renormalization and OPE in superconformal field theories. Zbl 0991.81107Arutyunov, G.; Eden, B.; Sokatchev, E. 25 2001 On the origin of supergravity boundary terms in the AdS/CFT correspondence. Zbl 0953.83057Arutyunov, G. E.; Frolov, S. A. 24 1999 The quantum deformed mirror TBA II. Zbl 1342.81377Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 24 2013 Exploring the mirror TBA. Zbl 1288.81088Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 23 2010 Double Wick rotating Green-Schwarz strings. Zbl 1388.81470Arutyunov, Gleb; van Tongeren, Stijn J. 22 2015 Five-loop Konishi from the mirror TBA. Zbl 1272.81133Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 21 2010 Twisting the mirror TBA. Zbl 1294.81158Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 21 2011 The S-matrix of string bound states. Zbl 1190.81132Arutyunov, Gleb; Frolov, Sergey 20 2008 On the correspondence between gravity fields and CFT operators. Zbl 0959.81062Arutyunov, Gleb; Frolov, Sergey 18 2000 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. 18 2002 Virasoro amplitude from the \(S^N R^{24}\)-orbifold sigma model. Zbl 0976.81037Arutyunov, G. E.; Frolov, S. A. 16 1998 Implications of superconformal symmetry for interacting (2,0) tensor multiplets. Zbl 0996.81089Arutyunov, G.; Sokatchev, E. 16 2002 Four graviton scattering amplitude for \(S^N{\mathbb{R}}^8\) supersymmetric orbifold sigma model. Zbl 1031.81581Arutyunov, G. E.; Frolov, S. A. 15 1998 Deformed Neumann model from spinning strings on \({\mathrm{AdS}}_5\times\mathrm{S}^5_{\eta}\). Zbl 1333.81303Arutyunov, Gleb; Medina-Rincon, Daniel 15 2014 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 The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring. Zbl 1194.81181Arutyunov, G.; De Leeuw, M.; Torrielli, A. 14 2009 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 13 2017 Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double. Zbl 0925.81437Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 12 1997 Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation. Zbl 1398.83119Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 12 2018 Integrability of the \(\eta\)-deformed Neumann-Rosochatius model. Zbl 1357.81135Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 11 2017 \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0973.81044Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 10 1998 The quantum deformed mirror TBA I. Zbl 1397.81215Arutyunov, Gleb; de Leeuw, Marius; van Tongeren, Stijn J. 9 2012 Comments on the mirror TBA. Zbl 1296.81076Arutyunov, Gleb; Frolov, Sergey 8 2011 Quadratic action for type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0951.83058Arutyunov, Gleb E.; Frolov, Sergei A. 7 1999 On the Hamiltonian structure of the spin Ruijsenaars-Schneider model. Zbl 0938.37060Arutyunov, G. E.; Frolov, S. A. 7 1998 Bound states in the mirror TBA. Zbl 1309.81194Arutyunov, Gleb; Frolov, Sergey; van Tongeren, Stijn J. 7 2012 Two-loop commuting charges and the string/gauge duality. Zbl 1229.81217Arutyunov, Gleb; Staudacher, Matthias 7 2005 Four-point functions of all-different-weight chiral primary operators in the supergravity approximation. Zbl 1398.83118Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 7 2018 Quantum dynamical R-matrices and quantum Frobenius group. Zbl 0892.17015Arutyunov, G. E.; Frolov, S. A. 6 1998 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 6 2010 Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction. Zbl 1462.37065Arutyunov, Gleb E.; Olivucci, Enrico 6 2020 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 Conformal fields in the pp-wave limit. Zbl 1226.81239Arutyunov, Gleb; Sokatchev, Emery 5 2002 Elements of classical and quantum integrable systems. Zbl 1422.82002Arutyunov, Gleb 5 2019 Resurgence of the dressing phase for \(\mathrm{AdS}_{5} {\times} S^{5}\). Zbl 1373.81305Arutyunov, Gleb; Dorigoni, Daniele; Savin, Sergei 5 2017 Generating equation for \(r\)-matrices related to dynamical systems of Calogero type. Zbl 1037.81542Arutyunov, G. E.; Medvedev, P. B. 3 1996 Exceptional operators in \( \mathcal{N} = 4 \) super Yang-Mills. Zbl 1397.81130Arutyunov, Gleb; Frolov, Sergey; Sfondrini, Alessandro 3 2012 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 trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model. Zbl 1416.81089Arutyunov, Gleb; Klabbers, Rob; Olivucci, Enrico 2 2019 A note on the perturbative properties of BPS operators. Zbl 1030.83024Arutyunov, Gleb; Sokatchev, Emery 2 2003 Superintegrability of geodesic motion on the sausage \(\mathrm{model}^{*}\). Zbl 1369.81074Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 2 2017 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 Graded Poisson Lie structures on classical complex Lie groups. Zbl 0852.17017Arutyunov, G. E. 1 1996 \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model. Zbl 0978.81509Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1997 Quantum dynamical \(R\)-matrices. Zbl 0957.81005Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1999 Graded Poisson-Lie structures on general linear groups. Zbl 0941.17011Arutyunov, G. E.; Medvedev, P. B. 1 1996 New integrable coset sigma models. Zbl 1461.81054Arutyunov, Gleb; Bassi, Cristian; Lacroix, Sylvain 1 2021 New integrable coset sigma models. Zbl 1461.81054Arutyunov, Gleb; Bassi, Cristian; Lacroix, Sylvain 1 2021 Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction. Zbl 1462.37065Arutyunov, Gleb E.; Olivucci, Enrico 6 2020 Elements of classical and quantum integrable systems. Zbl 1422.82002Arutyunov, Gleb 5 2019 Quantum trace formulae for the integrals of the hyperbolic Ruijsenaars-Schneider model. Zbl 1416.81089Arutyunov, Gleb; Klabbers, Rob; Olivucci, Enrico 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 12 2018 Four-point functions of all-different-weight chiral primary operators in the supergravity approximation. Zbl 1398.83118Arutyunov, Gleb; Klabbers, Rob; Savin, Sergei 7 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 13 2017 Integrability of the \(\eta\)-deformed Neumann-Rosochatius model. Zbl 1357.81135Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel 11 2017 Resurgence of the dressing phase for \(\mathrm{AdS}_{5} {\times} S^{5}\). Zbl 1373.81305Arutyunov, Gleb; Dorigoni, Daniele; Savin, Sergei 5 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. 71 2016 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. 35 2015 Puzzles of \(\eta\) deformed \(\mathrm{AdS}_{5}\times S^{5}\). Zbl 1388.83726Arutyunov, Gleb; Borsato, Riccardo; Frolov, Sergey 34 2015 Double Wick rotating Green-Schwarz strings. Zbl 1388.81470Arutyunov, Gleb; van Tongeren, Stijn J. 22 2015 Deformed Neumann model from spinning strings on \({\mathrm{AdS}}_5\times\mathrm{S}^5_{\eta}\). Zbl 1333.81303Arutyunov, Gleb; Medina-Rincon, Daniel 15 2014 The quantum deformed mirror TBA II. Zbl 1342.81377Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 24 2013 The quantum deformed mirror TBA I. Zbl 1397.81215Arutyunov, Gleb; de Leeuw, Marius; van Tongeren, Stijn J. 9 2012 Bound states in the mirror TBA. Zbl 1309.81194Arutyunov, Gleb; Frolov, Sergey; van Tongeren, Stijn J. 7 2012 Exceptional operators in \( \mathcal{N} = 4 \) super Yang-Mills. Zbl 1397.81130Arutyunov, Gleb; Frolov, Sergey; Sfondrini, Alessandro 3 2012 Twisting the mirror TBA. Zbl 1294.81158Arutyunov, Gleb; De Leeuw, Marius; van Tongeren, Stijn J. 21 2011 Comments on the mirror TBA. Zbl 1296.81076Arutyunov, Gleb; Frolov, Sergey 8 2011 Exploring the mirror TBA. Zbl 1288.81088Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 23 2010 Five-loop Konishi from the mirror TBA. Zbl 1272.81133Arutyunov, Gleb; Frolov, Sergey; Suzuki, Ryo 21 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 6 2010 Foundations of the AdS\(_{5} \times\) S\(^{5}\) superstring: I. Zbl 1167.81028Arutyunov, Gleb; Frolov, Sergey 109 2009 The dressing factor and crossing equations. Zbl 1179.81156Arutyunov, Gleb; Frolov, Sergey 26 2009 The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring. Zbl 1194.81181Arutyunov, G.; De Leeuw, M.; Torrielli, A. 14 2009 Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model. Zbl 1245.81136Arutyunov, Gleb; Frolov, Sergey 54 2008 The S-matrix of string bound states. Zbl 1190.81132Arutyunov, Gleb; Frolov, Sergey 20 2008 Finite-size effects from giant magnons. Zbl 1200.83114Arutyunov, Gleb; Frolov, Sergey; Zamaklar, Marija 63 2007 On string \(S\)-matrix, bound states and TBA. Zbl 1246.81182Arutyunov, Gleb; Frolov, Sergey 56 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 43 2007 On \(\mathrm{AdS}_5\times S^5\) string \(S\)-matrix. Zbl 1248.83127Arutyunov, Gleb E.; Frolov, Sergeĭ Anatol’evich 36 2006 Two-loop commuting charges and the string/gauge duality. Zbl 1229.81217Arutyunov, Gleb; Staudacher, Matthias 7 2005 Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems. Zbl 1037.83017Arutyunov, G.; Frolov, S.; Russo, J.; Tseytlin, A. A. 66 2003 Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence. Zbl 1059.81567Arutyunov, G.; Dolan, F. A.; Osborn, H.; Sokatchev, E. 54 2003 On a large \(N\) degeneracy in \(N=4\) SYM and the AdS/CFT correspondence. Zbl 1059.81568Arutyunov, G.; Sokatchev, E. 28 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. 18 2002 Implications of superconformal symmetry for interacting (2,0) tensor multiplets. Zbl 0996.81089Arutyunov, G.; Sokatchev, E. 16 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. 25 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. 45 2000 Scalar quartic couplings in type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0992.83085Arutyunov, G.; Frolov, S. 31 2000 On the correspondence between gravity fields and CFT operators. Zbl 0959.81062Arutyunov, Gleb; Frolov, Sergey 18 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. 24 1999 Quadratic action for type IIB supergravity on \(\text{AdS}_5\times S^5\). Zbl 0951.83058Arutyunov, Gleb E.; Frolov, Sergei A. 7 1999 Quantum dynamical \(R\)-matrices. Zbl 0957.81005Arutyunov, G. E.; Chekhov, L. O.; Frolov, S. A. 1 1999 Virasoro amplitude from the \(S^N R^{24}\)-orbifold sigma model. Zbl 0976.81037Arutyunov, G. E.; Frolov, S. A. 16 1998 Four graviton scattering amplitude for \(S^N{\mathbb{R}}^8\) supersymmetric orbifold sigma model. Zbl 1031.81581Arutyunov, G. E.; Frolov, S. A. 15 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 from the cotangent bundle over the two-dimensional current group. Zbl 0892.58039Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 13 1997 Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double. Zbl 0925.81437Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. 12 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 classical complex Lie groups. Zbl 0852.17017Arutyunov, G. E. 1 1996 Graded Poisson-Lie structures on general linear groups. Zbl 0941.17011Arutyunov, G. E.; Medvedev, P. B. 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 708 Authors 33 Arutyunov, Gleb Eduardovich 21 Tseytlin, Arkady Aleksandrovich 20 Yoshida, Kentaroh 18 Wulff, Linus 17 Sfondrini, Alessandro 15 Heslop, Paul J. 15 Hoare, Ben 15 Torrielli, Alessandro 14 Frolov, Sergeĭ Anatol’evich 13 Sokatchev, Emery 13 van Tongeren, Stijn J. 12 Beisert, Niklas 12 Eden, Burkhard 12 Gromov, Nikolay 12 Sax, Olof Ohlsson 11 Bajnok, Zoltán 11 Zhou, Xinan 10 Alday, Luis Fernando 10 Borsato, Riccardo 10 Roychowdhury, Dibakar 10 Stefański, Bogdan jun. 9 de Leeuw, Marius 9 Drummond, James M. 9 Sakamoto, Junichi 8 Fleury, Thiago 8 Korchemsky, Gregory P. 8 Mathur, Samir D. 8 Panigrahi, Kamal Lochan 8 Volin, Dmytro 7 Bissi, Agnese 7 Bozhilov, Plamen 7 Howe, Paul S. 7 Kazakov, Vladimir A. 7 Komatsu, Shota 7 łukowski, Tomasz 7 Roiban, Radu 7 Seibold, Fiona K. 7 Sundin, Per 7 Tateo, Roberto 7 Thompson, Daniel C. 7 Vieira, Pedro G. 6 Ahn, Changrim 6 Beccaria, Matteo 6 Bombardelli, Diego 6 Bykov, Dmitriĭ Vladimirovich 6 Cavaglià, Andrea 6 Hollowood, Timothy J. 6 Janik, Romuald A. 6 Klabbers, Rob 6 Liendo, Pedro 6 Matsumoto, Takuya 6 Nepomechie, Rafael I. 6 Osborn, Hugh 6 Penati, Silvia 6 Santambrogio, Alberto 5 Abbott, Michael C. 5 Aprile, Francesco 5 Banerjee, Aritra 5 Bellucci, Stefano 5 Dei, Andrea 5 Dolan, F. A. 5 Hampton, Shaun 5 Hegedűs, Árpád 5 Klusoň, Josef 5 Kyono, Hideki 5 Lipstein, Arthur E. 5 Lunin, Oleg 5 McLoughlin, Tristan 5 Pereira, Raul 5 Perlmutter, Eric 5 Plefka, Jan Christoph 5 Rastelli, Leonardo 5 Sakatani, Yuho 5 Stanev, Yassen S. 4 Avan, Jean 4 Bakhmatov, Ilya 4 Basso, Benjamin 4 Bianchi, Marco S. 4 Burrington, Benjamin A. 4 Caetano, João 4 Casteill, Pierre-Yves 4 Chester, Shai M. 4 Fioravanti, Davide 4 Forini, Valentina 4 Georgiou, George M. 4 Giusto, Stefano 4 Gonçalves, Vasco 4 Heinze, Martin 4 Klimčík, Ctirad 4 Klose, Thomas 4 le Plat, Dennis 4 Lemos, Madalena 4 Leurent, Sebastien 4 Magro, Marc 4 Maldacena, Juan M. 4 Petkou, Anastasios Christou 4 Rivelles, Victor O. 4 Russo, Rodolfo 4 Schmidtt, David M. 4 Sheikh-Jabbari, Mohammad Mahdi ...and 608 more Authors all top 5 Cited in 39 Serials 360 Journal of High Energy Physics 147 Nuclear Physics. B 23 Letters in Mathematical Physics 19 Physics Letters. B 16 International Journal of Modern Physics A 16 Theoretical and Mathematical Physics 15 Journal of Physics A: Mathematical and Theoretical 13 Communications in Mathematical Physics 13 Journal of Mathematical Physics 5 Advances in High Energy Physics 4 Journal of Geometry and Physics 4 Fortschritte der Physik 4 Journal of Statistical Mechanics: Theory and Experiment 4 Proceedings of the Steklov Institute of Mathematics 3 Modern Physics Letters A 3 International Journal of Modern Physics B 2 Physics Reports 2 Reviews in Mathematical Physics 2 Nuclear Physics, B, Proceedings Supplements 2 Living Reviews in Relativity 2 Physical Review D. Series III 1 Classical and Quantum Gravity 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Physics Letters. A 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 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 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 Advances in Mathematical Physics all top 5 Cited in 30 Fields 611 Quantum theory (81-XX) 276 Relativity and gravitational theory (83-XX) 55 Statistical mechanics, structure of matter (82-XX) 54 Nonassociative rings and algebras (17-XX) 51 Mechanics of particles and systems (70-XX) 44 Associative rings and algebras (16-XX) 43 Dynamical systems and ergodic theory (37-XX) 32 Algebraic geometry (14-XX) 26 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Partial differential equations (35-XX) 13 Statistics (62-XX) 11 Topological groups, Lie groups (22-XX) 7 Functional analysis (46-XX) 5 Special functions (33-XX) 3 Number theory (11-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year