Abstract
In this paper we investigate the properties of the putative 5d fixed point theory that should be dual, through the holographic correspondence, to the new supersymmetric AdS 6 solution constructed in [1]. This solution is the result of a non-Abelian T-duality transformation on the known supersymmetric AdS 6 solution of massive Type IIA. The analysis of the charge quantization conditions seems to put constraints on the global properties of the background, which, combined with the information extracted from considering probe branes, suggests a 2-node quiver candidate for the dual CFT.
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References
Y. Lozano, E. Ó Colgáin, D. Rodríguez-Gómez and K. Sfetsos, Supersymmetric AdS 6 via T duality, Phys. Rev. Lett. 110 (2013) 231601 [arXiv:1212.1043] [INSPIRE].
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198] [INSPIRE].
A. Brandhuber and Y. Oz, The D4-D8 brane system and five-dimensional fixed points, Phys. Lett. B 460 (1999) 307 [hep-th/9905148] [INSPIRE].
O. Bergman and D. Rodriguez-Gomez, 5D quivers and their AdS 6 duals, JHEP 07 (2012) 171 [arXiv:1206.3503] [INSPIRE].
O. Bergman and D. Rodriguez-Gomez, Probing the Higgs branch of 5D fixed point theories with dual giant gravitons in AdS 6, JHEP 12 (2012) 047 [arXiv:1210.0589] [INSPIRE].
O. Bergman, D. Rodríguez-Gómez and G. Zafrir, 5-brane webs, symmetry enhancement and duality in 5D supersymmetric gauge theory, JHEP 03 (2014) 112 [arXiv:1311.4199] [INSPIRE].
A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
J. Jeong, O. Kelekci and E. O Colgain, An alternative IIB embedding of F(4) gauged supergravity, JHEP 05 (2013) 079 [arXiv:1302.2105] [INSPIRE].
L.J. Romans, The F(4) gauged supergravity in six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
H.A. Kramers and G. Wannier, Statistics of the two-dimensional ferromagnet. Part 1, Phys. Rev. 60 (1941) 252 [INSPIRE].
R. Savit, Duality in field theory and statistical systems, Rev. Mod. Phys. 52 (1980) 453 [INSPIRE].
X.C. de la Ossa and F. Quevedo, Duality symmetries from non-Abelian isometries in string theory, Nucl. Phys. B 403 (1993) 377 [hep-th/9210021] [INSPIRE].
T.H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194 (1987) 59 [INSPIRE].
T.H. Buscher, Path integral derivation of quantum duality in nonlinear σ-models, Phys. Lett. B 201 (1988) 466 [INSPIRE].
M. Roček and E.P. Verlinde, Duality, quotients and currents, Nucl. Phys. B 373 (1992) 630 [hep-th/9110053] [INSPIRE].
A. Giveon and M. Roček, On non-Abelian duality, Nucl. Phys. B 421 (1994) 173 [hep-th/9308154] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé, J.L.F. Barbon and Y. Lozano, Some global aspects of duality in string theory, Nucl. Phys. B 415 (1994) 71 [hep-th/9309039] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, On non-Abelian duality, Nucl. Phys. B 424 (1994) 155 [hep-th/9403155] [INSPIRE].
K. Sfetsos and D.C. Thompson, On non-Abelian T-dual geometries with Ramond fluxes, Nucl. Phys. B 846 (2011) 21 [arXiv:1012.1320] [INSPIRE].
Y. Lozano, E. O Colgain, K. Sfetsos and D.C. Thompson, non-Abelian T-duality, Ramond fields and coset geometries, JHEP 06 (2011) 106 [arXiv:1104.5196] [INSPIRE].
E. Gevorgyan and G. Sarkissian, Defects, non-Abelian T-duality and the Fourier-Mukai transform of the Ramond-Ramond fields, JHEP 03 (2014) 035 [arXiv:1310.1264] [INSPIRE].
G. Itsios, C. Núñez, K. Sfetsos and D.C. Thompson, On non-Abelian T-duality and new N =1 backgrounds, Phys. Lett. B 721 (2013) 342 [arXiv:1212.4840] [INSPIRE].
G. Itsios, C. Núñez, K. Sfetsos and D.C. Thompson, Non-Abelian T-duality and the AdS/CFT correspondence:new N = 1 backgrounds, Nucl. Phys. B 873 (2013) 1 [arXiv:1301.6755] [INSPIRE].
A. Barranco, J. Gaillard, N.T. Macpherson, C. Núñez and D.C. Thompson, G-structures and flavouring non-Abelian T-duality, JHEP 08 (2013) 018 [arXiv:1305.7229] [INSPIRE].
N.T. Macpherson, Non-Abelian T-duality, G 2 -structure rotation and holographic duals of N =1 Chern-Simons theories, JHEP 11 (2013) 137 [arXiv:1310.1609] [INSPIRE].
G. Itsios, Y. Lozano, E. Ó Colgáin and K. Sfetsos, Non-Abelian T-duality and consistent truncations in type-II supergravity, JHEP 08 (2012) 132 [arXiv:1205.2274] [INSPIRE].
M. Graña, Flux compactifications in string theory: a comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [INSPIRE].
D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χ SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
F. Benini, A chiral cascade via backreacting D7-branes with flux, JHEP 10 (2008) 051 [arXiv:0710.0374] [INSPIRE].
J. Breckenridge, G. Michaud and R.C. Myers, More D-brane bound states, Phys. Rev. D 55 (1997) 6438 [hep-th/9611174] [INSPIRE].
J.M. Maldacena and J.G. Russo, Large-N limit of noncommutative gauge theories, JHEP 09 (1999) 025 [hep-th/9908134] [INSPIRE].
M.J. Duff, B.E.W. Nilsson and C.N. Pope, The criterion for vacuum stability in Kaluza-Klein supergravity, Phys. Lett. B 139 (1984) 154 [INSPIRE].
O. DeWolfe, D.Z. Freedman, S.S. Gubser, G.T. Horowitz and I. Mitra, Stability of AdS p × M(q) compactifications without supersymmetry, Phys. Rev. D 65 (2002) 064033 [hep-th/0105047] [INSPIRE].
A.P. Polychronakos and K. Sfetsos, High spin limits and non-Abelian T-duality, Nucl. Phys. B 843 (2011) 344 [arXiv:1008.3909] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and goliath, JHEP 08 (2000) 040 [hep-th/0008015] [INSPIRE].
A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual, JHEP 08 (2000) 051 [hep-th/0008016] [INSPIRE].
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE].
I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [INSPIRE].
D.L. Jafferis and S.S. Pufu, Exact results for five-dimensional superconformal field theories with gravity duals, arXiv:1207.4359 [INSPIRE].
H. Casini, M. Huerta and R.C. Myers, Towards a derivation of holographic entanglement entropy, JHEP 05 (2011) 036 [arXiv:1102.0440] [INSPIRE].
P. Figueras and S. Tunyasuvunakool, CFTs in rotating black hole backgrounds, Class. Quant. Grav. 30 (2013) 125015 [arXiv:1304.1162] [INSPIRE].
O. Aharony, A note on the holographic interpretation of string theory backgrounds with varying flux, JHEP 03 (2001) 012 [hep-th/0101013] [INSPIRE].
Y. Lozano, Non-Abelian duality and canonical transformations, Phys. Lett. B 355 (1995) 165 [hep-th/9503045] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
J.P. Gauntlett, E. O Colgain and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP 02 (2007) 049 [hep-th/0611219] [INSPIRE].
J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS 5 solutions of M-theory, Class. Quant. Grav. 21 (2004) 4335 [hep-th/0402153] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS 7 solutions of type-II supergravity, JHEP 04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
M. Cvetič, H. Lü, C. Pope and J.F. Vazquez-Poritz, AdS in warped space-times, Phys. Rev. D 62 (2000) 122003 [hep-th/0005246] [INSPIRE].
M. Duff, H. Lü and C. Pope, AdS 5 × S 5 untwisted, Nucl. Phys. B 532 (1998) 181 [hep-th/9803061] [INSPIRE].
M.J. Duff, H. Lü and C.N. Pope, AdS 3 × S 3 (un)twisted and squashed and an O(2, 2, Z) multiplet of dyonic strings, Nucl. Phys. B 544 (1999) 145 [hep-th/9807173] [INSPIRE].
S.F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys. B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
E. Bergshoeff and P.K. Townsend, Super D-branes, Nucl. Phys. B 490 (1997) 145 [hep-th/9611173] [INSPIRE].
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Lozano, Y., Colgáin, E.Ó. & Rodríguez-Gómez, D. Hints of 5d fixed point theories from non-Abelian T-duality. J. High Energ. Phys. 2014, 9 (2014). https://doi.org/10.1007/JHEP05(2014)009
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DOI: https://doi.org/10.1007/JHEP05(2014)009