Abstract
We explicitly truncate \( \mathcal{N} = 8 \) gauged supergravity in five dimensions to its SU(3)-invariant sector with dilaton and axion fields. We show that this truncation has a solution which is identical to the super Janus constructed in \( \mathcal{N} = 2 \) gauged supergravity in five dimensions. Then we lift the solution of the SU(3)-invariant truncation to type IIB supergravity by employing the consistent truncation ansatz. We show that the lifted solution falls into a special case of the supersymmetric Janus solutions constructed in type IIB supergravity. Additionally, we also prove that the lifted solution provides a particular example of the consistent truncations of type IIB supergravity on Sasaki-Einstein manifolds.
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References
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] [SPIRES].
D. Bak, M. Gutperle and S. Hirano, A dilatonic deformation of AdS 5 and its field theory dual, JHEP 05 (2003) 072 [hep-th/0304129] [SPIRES].
D.Z. Freedman, C. Núñez, M. Schnabl and K. Skenderis, Fake Supergravity and Domain Wall Stability, Phys. Rev. D 69 (2004) 104027 [hep-th/0312055] [SPIRES].
A.B. Clark, D.Z. Freedman, A. Karch and M. Schnabl, Dual of the Janus solution: an interface Conformal Field Theory, Phys. Rev. D 71 (2005) 066003 [hep-th/0407073] [SPIRES].
A. Clark and A. Karch, Super Janus, JHEP 10 (2005) 094 [hep-th/0506265] [SPIRES].
G. Lopes Cardoso, G. Dall’Agata and D. Lüst, Curved BPS domain wall solutions in five-dimensional gauged supergravity, JHEP 07 (2001) 026 [hep-th/0104156] [SPIRES].
A.H. Chamseddine and W.A. Sabra, Curved domain walls of five dimensional gauged supergravity, Nucl. Phys. B 630 (2002) 326 [hep-th/0105207] [SPIRES].
A.H. Chamseddine and W.A. Sabra, Einstein brane-worlds in 5D gauged supergravity, Phys. Lett. B 517 (2001) 184 [Erratum ibid. B 537 (2002) 353] [hep-th/0106092] [SPIRES].
G. Lopes Cardoso, G. Dall’Agata and D. Lüst, Curved BPS domain walls and RG flow in five dimensions, JHEP 03 (2002) 044 [hep-th/0201270] [SPIRES].
K. Behrndt and M. Cvetič, Bent BPS domain walls of D = 5 N = 2 gauged supergravity coupled to hypermultiplets, Phys. Rev. D 65 (2002) 126007 [hep-th/0201272] [SPIRES].
A. Ceresole and G. Dall’Agata, General matter coupled N = 2, D = 5 gauged supergravity, Nucl. Phys. B 585 (2000) 143 [hep-th/0004111] [SPIRES].
A. Ceresole, G. Dall’Agata, R. Kallosh and A. Van Proeyen, Hypermultiplets, domain walls and supersymmetric attractors, Phys. Rev. D 64 (2001) 104006 [hep-th/0104056] [SPIRES].
E. D’Hoker, J. Estes and M. Gutperle, Interface Yang-Mills, supersymmetry and Janus, Nucl. Phys. B 753 (2006) 16 [hep-th/0603013] [SPIRES].
E. D’Hoker, J. Estes and M. Gutperle, Ten-dimensional supersymmetric Janus solutions, Nucl. Phys. B 757 (2006) 79 [hep-th/0603012] [SPIRES].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus, JHEP 06 (2007) 021 [arXiv:0705.0022] [SPIRES].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions II: Flux solutions and multi-Janus, JHEP 06 (2007) 022 [arXiv:0705.0024] [SPIRES].
D. Gaiotto and E. Witten, Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N = 4 Super Yang-Mills Theory, JHEP 06 (2010) 097 [arXiv:0804.2907] [SPIRES].
M. Pernici, K. Pilch and P. van Nieuwenhuizen, Gauged N = 8 D = 5 Supergravity, Nucl. Phys. B 259 (1985) 460 [SPIRES].
M. Günaydin, L.J. Romans and N.P. Warner, Gauged N = 8 Supergravity in Five-Dimensions, Phys. Lett. B 154 (1985) 268 [SPIRES].
M. Günaydin, L.J. Romans and N.P. Warner, Compact and Noncompact Gauged Supergravity Theories in Five-Dimensions, Nucl. Phys. B 272 (1986) 598 [SPIRES].
A. Khavaev, K. Pilch and N.P. Warner, New vacua of gauged N = 8 supergravity in five dimensions, Phys. Lett. B 487 (2000) 14 [hep-th/9812035] [SPIRES].
K. Pilch and N.P. Warner, N = 2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [SPIRES].
K. Pilch and N.P. Warner, N = 1 supersymmetric renormalization group flows from IIB supergravity, Adv. Theor. Math. Phys. 4 (2002) 627 [hep-th/0006066] [SPIRES].
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, JHEP 12 (1998) 022 [hep-th/9810126] [SPIRES].
J. Distler and F. Zamora, Non-supersymmetric conformal field theories from stable anti-de Sitter spaces, Adv. Theor. Math. Phys. 2 (1999) 1405 [hep-th/9810206] [SPIRES].
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, The supergravity dual of N = 1 super Yang-Mills theory, Nucl. Phys. B 569 (2000) 451 [hep-th/9909047] [SPIRES].
L.J. Romans, New Compactifications Of Chiral N = 2 D = 10 Supergravity, Phys. Lett. B 153 (1985) 392 [SPIRES].
A. Khavaev and N.P. Warner, An N = 1 supersymmetric Coulomb flow in IIB supergravity, Phys. Lett. B 522 (2001) 181 [hep-th/0106032] [SPIRES].
D. Cassani, G. Dall’Agata and A.F. Faedo, Type IIB supergravity on squashed Sasaki-Einstein manifolds, JHEP 05 (2010) 094 [arXiv:1003.4283] [SPIRES].
J.P. Gauntlett and O. Varela, Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions, JHEP 06 (2010) 081 [arXiv:1003.5642] [SPIRES].
J.T. Liu, P. Szepietowski and Z. Zhao, Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds, Phys. Rev. D 81 (2010) 124028 [arXiv:1003.5374] [SPIRES].
K. Skenderis, M. Taylor and D. Tsimpis, A consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure, JHEP 06 (2010) 025 [arXiv:1003.5657] [SPIRES].
D.Z. Freedman, S.S. Gubser, K. Pilch and N.P. Warner, Renormalization group flows from holography supersymmetry and a c-theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017] [SPIRES].
K. Pilch, private communication.
S.S. Gubser, C.P. Herzog, S.S. Pufu and T. Tesileanu, Superconductors from Superstrings, Phys. Rev. Lett. 103 (2009) 141601 [arXiv:0907.3510] [SPIRES].
S.S. Gubser, S.S. Pufu and F.D. Rocha, Quantum critical superconductors in string theory and M-theory, Phys. Lett. B 683 (2010) 201 [arXiv:0908.0011] [SPIRES].
G. Lopes Cardoso and D. Lüst, The holographic RG flow in a field theory on a curved background, JHEP 09 (2002) 028 [hep-th/0207024] [SPIRES].
N. Bobev, A. Kundu, K. Pilch and N.P. Warner, Supersymmetric Charged Clouds in AdS 5, JHEP 03 (2011) 070 [arXiv:1005.3552] [SPIRES].
R. Britto-Pacumio, A. Strominger and A. Volovich, Holography for coset spaces, JHEP 11 (1999) 013 [hep-th/9905211] [SPIRES].
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ArXiv ePrint: 1107.2796
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Suh, M. Supersymmetric Janus solutions in five and ten dimensions. J. High Energ. Phys. 2011, 64 (2011). https://doi.org/10.1007/JHEP09(2011)064
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DOI: https://doi.org/10.1007/JHEP09(2011)064