×

Consistent truncations of supergravity and \(1/2\)-BPS RG flows in \(4d\) SCFTs. (English) Zbl 1435.83199

Summary: With the purpose of holographically describing flows from a large family of four dimensional \(\mathcal{N} = 1\) and \(\mathcal{N} = 2\) conformal field theories, we discuss truncations of seven dimensional supergravity to five dimensions. We write explicitly the reduced gauged supergravity and find BPS equations for simple configurations. Lifting these flows to eleven dimensions or Massive IIA supergravity, we present string duals to RG flows from strongly coupled conformal theories when deformed by marginal and/or relevant operators. We further discuss observables common to infinite families of \(\mathcal{N} = 1\) and \(\mathcal{N} = 2\) QFTs in this context.

MSC:

83E50 Supergravity
83E05 Geometrodynamics and the holographic principle
81T60 Supersymmetric field theories in quantum mechanics
81T17 Renormalization group methods applied to problems in quantum field theory
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [Adv. Theor. Math. Phys.2 (1998) 231] [hep-th/9711200] [INSPIRE]. · Zbl 0914.53047
[2] Sohnius, MF; West, PC, Conformal invariance in N = 4 supersymmetric Yang-Mills theory, Phys. Lett., B 100, 245 (1981) · doi:10.1016/0370-2693(81)90326-9
[3] Howe, PS; Stelle, KS; West, PC, A class of finite four-dimensional supersymmetric field theories, Phys. Lett., B 124, 55 (1983) · doi:10.1016/0370-2693(83)91402-8
[4] Gauntlett, JP; Martelli, D.; Sparks, J.; Waldram, D., Supersymmetric AdS_5solutions of M-theory, Class. Quant. Grav., 21, 4335 (2004) · Zbl 1059.83038 · doi:10.1088/0264-9381/21/18/005
[5] Gutowski, JB; Papadopoulos, G., Supersymmetry of AdS and flat backgrounds in M-theory, JHEP, 02, 145 (2015) · Zbl 1388.83816 · doi:10.1007/JHEP02(2015)145
[6] Gaiotto, D., N = 2 dualities, JHEP, 08, 034 (2012) · Zbl 1397.81362 · doi:10.1007/JHEP08(2012)034
[7] Gaiotto, D.; Maldacena, J., The gravity duals of N = 2 superconformal field theories, JHEP, 10, 189 (2012) · Zbl 1397.83038 · doi:10.1007/JHEP10(2012)189
[8] R.A. Reid-Edwards and B. Stefański Jr., On type IIA geometries dual to N = 2 SCFTs, Nucl. Phys.B 849 (2011) 549 [arXiv:1011.0216] [INSPIRE]. · Zbl 1215.83058
[9] Aharony, O.; Berdichevsky, L.; Berkooz, M., 4d N = 2 superconformal linear quivers with type IIA duals, JHEP, 08, 131 (2012) · Zbl 1397.81289 · doi:10.1007/JHEP08(2012)131
[10] Bah, I., AdS_5solutions from M5-branes on Riemann surface and D6-branes sources, JHEP, 09, 163 (2015) · Zbl 1388.83611 · doi:10.1007/JHEP09(2015)163
[11] N. Bobev, P. Bomans and F.F. Gautason, Wrapped branes and punctured horizons, arXiv:1912.04779. · Zbl 1396.81148
[12] C. Núñez, D. Roychowdhury and D.C. Thompson, Integrability and non-integrability in \(\mathcal{N} = 2\) SCFTs and their holographic backgrounds, JHEP07 (2018) 044 [arXiv:1804.08621] [INSPIRE]. · Zbl 1395.81122
[13] C. Núñez, D. Roychowdhury, S. Speziali and S. Zacarías, Holographic aspects of four dimensional \(\mathcal{N} = 2\) SCFTs and their marginal deformations, Nucl. Phys.B 943 (2019) 114617 [arXiv:1901.02888] [INSPIRE]. · Zbl 1415.81091
[14] Y. Lozano and C. Núñez, Field theory aspects of non-Abelian T-duality and \(\mathcal{N} = 2\) linear quivers, JHEP05 (2016) 107 [arXiv:1603.04440] [INSPIRE]. · Zbl 1388.83299
[15] Bah, I.; Bonetti, F.; Minasian, R.; Nardoni, E., Anomaly inflow for M5-branes on punctured Riemann surfaces, JHEP, 06, 123 (2019) · Zbl 1416.83111 · doi:10.1007/JHEP06(2019)123
[16] D’Hoker, E.; Gutperle, M.; Karch, A.; Uhlemann, CF, Warped AdS_6× S^2in Type IIB supergravity I: local solutions, JHEP, 08, 046 (2016) · Zbl 1390.83390 · doi:10.1007/JHEP08(2016)046
[17] D’Hoker, E.; Gutperle, M.; Uhlemann, CF, Holographic duals for five-dimensional superconformal quantum field theories, Phys. Rev. Lett., 118, 101601 (2017) · doi:10.1103/PhysRevLett.118.101601
[18] D’Hoker, E.; Gutperle, M.; Uhlemann, CF, Warped AdS_6× S^2in type IIB supergravity II: global solutions and five-brane webs, JHEP, 05, 131 (2017) · Zbl 1380.83282 · doi:10.1007/JHEP05(2017)131
[19] M. Gutperle, A. Trivella and C.F. Uhlemann, Type IIB 7-branes in warped AdS_6: partition functions, brane webs and probe limit, JHEP04 (2018) 135 [arXiv:1802.07274] [INSPIRE]. · Zbl 1390.81435
[20] Fluder, M.; Uhlemann, CF, Precision test of AdS_6/CFT_5in type IIB string theory, Phys. Rev. Lett., 121, 171603 (2018) · doi:10.1103/PhysRevLett.121.171603
[21] C.F. Uhlemann, AdS_6/CFT_5with O7-planes, arXiv:1912.09716 [INSPIRE].
[22] Uhlemann, CF, Exact results for 5d SCFTs of long quiver type, JHEP, 11, 072 (2019) · Zbl 1429.81078 · doi:10.1007/JHEP11(2019)072
[23] O. Bergman, D. Rodríguez-Gómez and C.F. Uhlemann, Testing AdS_6/CFT_5in Type IIB with stringy operators, JHEP08 (2018) 127 [arXiv:1806.07898] [INSPIRE]. · Zbl 1396.81163
[24] F. Apruzzi et al., Six-dimensional superconformal theories and their compactifications from type IIA supergravity, Phys. Rev. Lett.115 (2015) 061601 [arXiv:1502.06616] [INSPIRE].
[25] Apruzzi, F.; Fazzi, M.; Rosa, D.; Tomasiello, A., All AdS_7solutions of type-II supergravity, JHEP, 04, 064 (2014) · doi:10.1007/JHEP04(2014)064
[26] Gaiotto, D.; Tomasiello, A., Holography for (1, 0) theories in six dimensions, JHEP, 12, 003 (2014) · doi:10.1007/JHEP12(2014)003
[27] Cremonesi, S.; Tomasiello, A., 6d holographic anomaly match as a continuum limit, JHEP, 05, 031 (2016) · Zbl 1388.83215 · doi:10.1007/JHEP05(2016)031
[28] Apruzzi, F.; Fazzi, M., AdS_7/CFT_6with orientifolds, JHEP, 01, 124 (2018) · Zbl 1384.81090 · doi:10.1007/JHEP01(2018)124
[29] M. Fazzi, Higher-dimensional field theories from type-II supergravity, Ph.D. thesis, Brussels U., 2016. arXiv:1712.04447 [INSPIRE].
[30] K. Filippas, C. Núñez and J. Van Gorsel, Integrability and holographic aspects of six-dimensional \(\mathcal{N} \) = (1, 0) superconformal field theories, JHEP06 (2019) 069 [arXiv:1901.08598] [INSPIRE]. · Zbl 1416.81151
[31] De Luca, GB; Gnecchi, A.; Lo Monaco, G.; Tomasiello, A., Holographic duals of 6d RG flows, JHEP, 03, 035 (2019) · Zbl 1414.83099 · doi:10.1007/JHEP03(2019)035
[32] Brunner, I.; Karch, A., Branes at orbifolds versus Hanany Witten in six-dimensions, JHEP, 03, 003 (1998) · Zbl 0958.81169 · doi:10.1088/1126-6708/1998/03/003
[33] Hanany, A.; Zaffaroni, A., Branes and six-dimensional supersymmetric theories, Nucl. Phys., B 529, 180 (1998) · Zbl 0961.81077 · doi:10.1016/S0550-3213(98)00355-1
[34] Gaiotto, D.; Witten, E., S-duality of boundary conditions in N = 4 super Yang-Mills theory, Adv. Theor. Math. Phys., 13, 721 (2009) · Zbl 1206.81082 · doi:10.4310/ATMP.2009.v13.n3.a5
[35] E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS type IIB interface solutions. II. Flux solutions and multi-Janus, JHEP06 (2007) 022 [arXiv:0705.0024] [INSPIRE].
[36] E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Exact half-BPS flux solutions in M-theory. I: local solutions, JHEP08 (2008) 028 [arXiv:0806.0605] [INSPIRE]. · Zbl 1329.83186
[37] Assel, B.; Bachas, C.; Estes, J.; Gomis, J., Holographic duals of D = 3 N = 4 superconformal field theories, JHEP, 08, 087 (2011) · Zbl 1298.81237 · doi:10.1007/JHEP08(2011)087
[38] Y. Lozano, N.T. Macpherson, J. Montero and C. Núñez, Three-dimensional \(\mathcal{N} = 4\) linear quivers and non-Abelian T-duals, JHEP11 (2016) 133 [arXiv:1609.09061] [INSPIRE]. · Zbl 1390.83121
[39] Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS_3solutions in massive IIA with small \(\mathcal{N} \) = (4, 0) supersymmetry, JHEP01 (2020) 129 [arXiv:1908.09851] [INSPIRE].
[40] Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, 1/4 BPS solutions and the AdS_3/CFT_2correspondence, Phys. Rev.D 101 (2020) 026014 [arXiv:1909.09636] [INSPIRE].
[41] Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, Two dimensional \(\mathcal{N} \) = (0, 4) quivers dual to AdS_3solutions in massive IIA, JHEP01 (2020) 140 [arXiv:1909.10510] [INSPIRE].
[42] Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS_3solutions in massive IIA, defect CFTs and T-duality, JHEP12 (2019) 013 [arXiv:1909.11669] [INSPIRE]. · Zbl 1431.83180
[43] C. Couzens, \( \mathcal{N} \) = (0, 2) AdS_3solutions of type IIB and F-theory with generic fluxes, arXiv:1911.04439 [INSPIRE].
[44] A. Legramandi and N.T. Macpherson, AdS_3solutions with \(\mathcal{N} \) = (3, 0) from S^3× S^3fibrations, arXiv:1912.10509 [INSPIRE].
[45] Macpherson, NT, Type II solutions on AdS3 × S^3 × S^3with large superconformal symmetry, JHEP, 05, 089 (2019) · Zbl 1416.83144 · doi:10.1007/JHEP05(2019)089
[46] Couzens, C., F-theory and AdS_3/CFT_2, JHEP, 08, 043 (2017) · Zbl 1381.81110 · doi:10.1007/JHEP08(2017)043
[47] C. Couzens, H. het Lam and K. Mayer, Twisted \(\mathcal{N} = 1\) SCFTs and their AdS_3duals, JHEP03 (2020) 032 [arXiv:1912.07605] [INSPIRE].
[48] de Boer, J.; Verlinde, EP; Verlinde, HL, On the holographic renormalization group, JHEP, 08, 003 (2000) · Zbl 0989.81538 · doi:10.1088/1126-6708/2000/08/003
[49] de Haro, S.; Solodukhin, SN; Skenderis, K., Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys., 217, 595 (2001) · Zbl 0984.83043 · doi:10.1007/s002200100381
[50] Bianchi, M.; Freedman, DZ; Skenderis, K., Holographic renormalization, Nucl. Phys., B 631, 159 (2002) · Zbl 0995.81075 · doi:10.1016/S0550-3213(02)00179-7
[51] Papadimitriou, I.; Skenderis, K., AdS/CFT correspondence and geometry, IRMA Lect. Math. Theor. Phys., 8, 73 (2005) · Zbl 1081.81085
[52] J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys.A 16 (2001) 822 [hep-th/0007018] [INSPIRE]. · Zbl 1005.81075
[53] Benini, F.; Tachikawa, Y.; Wecht, B., Sicilian gauge theories and N = 1 dualities, JHEP, 01, 088 (2010) · Zbl 1269.81080 · doi:10.1007/JHEP01(2010)088
[54] Bah, I.; Beem, C.; Bobev, N.; Wecht, B., Four-dimensional SCFTs from M5-branes, JHEP, 06, 005 (2012) · Zbl 1397.81218 · doi:10.1007/JHEP06(2012)005
[55] Bobev, N.; Crichigno, PM, Universal RG flows across dimensions and holography, JHEP, 12, 065 (2017) · Zbl 1383.81186 · doi:10.1007/JHEP12(2017)065
[56] Ceresole, A.; Dall’Agata, G.; Kallosh, R.; Van Proeyen, A., Hypermultiplets, domain walls and supersymmetric attractors, Phys. Rev., D 64, 104006 (2001)
[57] Matthew Cheung, KC; Gauntlett, JP; Rosen, C., Consistent KK truncations for M5-branes wrapped on Riemann surfaces, Class. Quant. Grav., 36, 225003 (2019) · Zbl 1478.83228 · doi:10.1088/1361-6382/ab41b3
[58] N. Bobev, F.F. Gautason and K. Hristov, Holographic dual of the Ω-background, Phys. Rev.D 100 (2019) 021901 [arXiv:1903.05095] [INSPIRE].
[59] Freedman, DZ; Gubser, SS; Pilch, K.; Warner, NP, Continuous distributions of D3-branes and gauged supergravity, JHEP, 07, 038 (2000) · Zbl 1052.83529 · doi:10.1088/1126-6708/2000/07/038
[60] Townsend, PK; van Nieuwenhuizen, P., Gauged seven-dimensional supergravity, Phys. Lett., B 125, 41 (1983) · doi:10.1016/0370-2693(83)91230-3
[61] Bergshoeff, E., N = 2 supergravity in five-dimensions revisited, Class. Quant. Grav., 21, 3015 (2004) · Zbl 1061.83061 · doi:10.1088/0264-9381/21/12/013
[62] H. Lü and C.N. Pope, Exact embedding of N = 1, D = 7 gauged supergravity in D = 11, Phys. Lett.B 467 (1999) 67 [hep-th/9906168] [INSPIRE]. · Zbl 0994.83062
[63] Passias, A.; Rota, A.; Tomasiello, A., Universal consistent truncation for 6d/7d gauge/gravity duals, JHEP, 10, 187 (2015) · Zbl 1387.83117 · doi:10.1007/JHEP10(2015)187
[64] Gauntlett, JP; Varela, O., Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev., D 76, 126007 (2007)
[65] J.P. Gauntlett, E. O Colgain and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP02 (2007) 049 [hep-th/0611219] [INSPIRE].
[66] Cassani, D.; Josse, G.; Petrini, M.; Waldram, D., Systematics of consistent truncations from generalised geometry, JHEP, 11, 017 (2019) · Zbl 1429.83099 · doi:10.1007/JHEP11(2019)017
[67] Gauntlett, JP; Kim, N.; Pakis, S.; Waldram, D., M theory solutions with AdS factors, Class. Quant. Grav., 19, 3927 (2002) · Zbl 1003.83040 · doi:10.1088/0264-9381/19/15/305
[68] Pilch, K.; Warner, NP, N = 2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys., B 594, 209 (2001) · Zbl 0971.83513 · doi:10.1016/S0550-3213(00)00656-8
[69] Gubser, SS, Curvature singularities: the good, the bad and the naked, Adv. Theor. Math. Phys., 4, 679 (2000) · Zbl 0984.83036 · doi:10.4310/ATMP.2000.v4.n3.a6
[70] Nastase, H.; Vaman, D.; van Nieuwenhuizen, P., Consistent nonlinear KK reduction of 11 − D supergravity on AdS_7× S^4and selfduality in odd dimensions, Phys. Lett., B 469, 96 (1999) · Zbl 0987.81570 · doi:10.1016/S0370-2693(99)01266-6
[71] Nastase, H.; Vaman, D.; van Nieuwenhuizen, P., Consistency of the AdS_7× S^4reduction and the origin of selfduality in odd dimensions, Nucl. Phys., B 581, 179 (2000) · Zbl 0985.83026 · doi:10.1016/S0550-3213(00)00193-0
[72] Bobev, N.; Cassani, D.; Triendl, H., Holographic RG flows for four-dimensional N = 2 SCFTs, JHEP, 06, 086 (2018) · Zbl 1395.83120 · doi:10.1007/JHEP06(2018)086
[73] Romans, LJ, Gauged N = 4 supergravities in five-dimensions and their magnetovac backgrounds, Nucl. Phys., B 267, 433 (1986) · doi:10.1016/0550-3213(86)90398-6
[74] H. Lü, C.N. Pope and T.A. Tran, Five-dimensional N = 4, SU(2) × U(1) gauged supergravity from type IIB, Phys. Lett.B 475 (2000) 261 [hep-th/9909203] [INSPIRE]. · Zbl 0961.83063
[75] Gauntlett, JP; Varela, O., D = 5 SU(2) × U(1) gauged supergravity from D = 11 supergravity, JHEP, 02, 083 (2008) · doi:10.1088/1126-6708/2008/02/083
[76] Lin, H.; Lunin, O.; Maldacena, JM, Bubbling AdS space and 1/2 BPS geometries, JHEP, 10, 025 (2004) · doi:10.1088/1126-6708/2004/10/025
[77] Klebanov, IR; Tseytlin, AA, Gravity duals of supersymmetric SU(N) × SU(N + M) gauge theories, Nucl. Phys., B 578, 123 (2000) · Zbl 0976.81109 · doi:10.1016/S0550-3213(00)00206-6
[78] Klebanov, IR; Strassler, MJ, Supergravity and a confining gauge theory: duality cascades and χ_SBresolution of naked singularities, JHEP, 08, 052 (2000) · Zbl 0986.83041 · doi:10.1088/1126-6708/2000/08/052
[79] Cordova, C.; Dumitrescu, TT; Intriligator, K., Multiplets of superconformal symmetry in diverse dimensions, JHEP, 03, 163 (2019) · Zbl 1414.81233 · doi:10.1007/JHEP03(2019)163
[80] Brown, JD; Henneaux, M., Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys., 104, 207 (1986) · Zbl 0584.53039 · doi:10.1007/BF01211590
[81] Freedman, DZ; Gubser, SS; Pilch, K.; Warner, NP, Renormalization group flows from holography supersymmetry and a c theorem, Adv. Theor. Math. Phys., 3, 363 (1999) · Zbl 0976.83067 · doi:10.4310/ATMP.1999.v3.n2.a7
[82] Klebanov, IR; Kutasov, D.; Murugan, A., Entanglement as a probe of confinement, Nucl. Phys., B 796, 274 (2008) · Zbl 1219.81214 · doi:10.1016/j.nuclphysb.2007.12.017
[83] Macpherson, NT, Type IIB supergravity solutions with AdS_5from Abelian and non-Abelian T dualities, JHEP, 02, 040 (2015) · Zbl 1387.83113 · doi:10.1007/JHEP02(2015)040
[84] Bea, Y., Compactifications of the Klebanov-Witten CFT and new AdS_3backgrounds, JHEP, 05, 062 (2015) · doi:10.1007/JHEP05(2015)062
[85] C. Núñez, J.M. Penín, D. Roychowdhury and J. Van Gorsel, The non-integrability of strings in massive type IIA and their holographic duals, JHEP06 (2018) 078 [arXiv:1802.04269] [INSPIRE]. · Zbl 1395.81191
[86] Ryu, S.; Takayanagi, T., Aspects of holographic entanglement entropy, JHEP, 08, 045 (2006) · doi:10.1088/1126-6708/2006/08/045
[87] Kol, U., Confinement, phase transitions and non-locality in the entanglement entropy, JHEP, 06, 005 (2014) · doi:10.1007/JHEP06(2014)005
[88] Maldacena, JM, Wilson loops in large N field theories, Phys. Rev. Lett., 80, 4859 (1998) · Zbl 0947.81128 · doi:10.1103/PhysRevLett.80.4859
[89] Rey, S-J; Yee, J-T, Macroscopic strings as heavy quarks in large N gauge theory and Anti-de Sitter supergravity, Eur. Phys. J., C 22, 379 (2001) · Zbl 1072.81555 · doi:10.1007/s100520100799
[90] Chamseddine, AH; Volkov, MS, NonAbelian BPS monopoles in N = 4 gauged supergravity, Phys. Rev. Lett., 79, 3343 (1997) · Zbl 0953.83072 · doi:10.1103/PhysRevLett.79.3343
[91] Chamseddine, AH; Volkov, MS, Non-Abelian solitons in N = 4 gauged supergravity and leading order string theory, Phys. Rev., D 57, 6242 (1998)
[92] J.M. Maldacena and C. Núñez, Towards the large N limit of pure N = 1 superYang-Mills, Phys. Rev. Lett.86 (2001) 588 [hep-th/0008001] [INSPIRE].
[93] Myers, RC; Tafjord, O., Superstars and giant gravitons, JHEP, 11, 009 (2001) · doi:10.1088/1126-6708/2001/11/009
[94] Pope, CN; Warner, NP, A dielectric flow solution with maximal supersymmetry, JHEP, 04, 011 (2004) · doi:10.1088/1126-6708/2004/04/011
[95] Bena, I.; Warner, NP, A harmonic family of dielectric flow solutions with maximal supersymmetry, JHEP, 12, 021 (2004) · doi:10.1088/1126-6708/2004/12/021
[96] Cassani, D.; Dall’Agata, G.; Faedo, AF, BPS domain walls in N = 4 supergravity and dual flows, JHEP, 03, 007 (2013) · Zbl 1342.83456 · doi:10.1007/JHEP03(2013)007
[97] Chamseddine, AH; Sabra, WA, D = 7 SU(2) gauged supergravity from D = 10 supergravity, Phys. Lett., B 476, 415 (2000) · Zbl 1050.81634 · doi:10.1016/S0370-2693(00)00129-5
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.