Abstract
Through the construction of a complete non-linear Kaluza-Klein reduction ansatz from type IIB supergravity to Romans’ F(4) gauged supergravity, we identify a recently discovered supersymmetric AdS 6 solution as the IIB uplift of the supersymmetric vacuum of Romans’ theory. We present new IIB uplifts of a number of known solutions of Romans’ theory and comment on supersymmetry in higher-dimensions where it is expected.
Similar content being viewed by others
References
Y. Lozano, E.O. Colgain, D. Rodriguez-Gomez and K. Sfetsos, New Supersymmetric AdS 6 via T-duality, arXiv:1212.1043 [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, arXiv:1301.6755 [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].
L. Romans, Massive N=2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [INSPIRE].
A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
R. D’Auria, S. Ferrara and S. Vaula, Matter coupled F(4) supergravity and the AdS 6 /CF T 5 correspondence, JHEP 10 (2000) 013 [hep-th/0006107] [INSPIRE].
P. Karndumri, Holographic RG flows in six dimensional F(4) gauged supergravity, JHEP 01 (2013) 134 [arXiv:1210.8064] [INSPIRE].
E. O Colgain, J.-B. Wu and H. Yavartanoo, On the generality of the LLM geometries in M-theory, JHEP 04 (2011) 002 [arXiv:1010.5982] [INSPIRE].
E. O Colgain, Beyond LLM in M-theory, JHEP 12 (2012) 023 [arXiv:1208.5979] [INSPIRE].
L. Romans, The F(4) Gauged Supergravity in Six-Dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
W. Nahm, Supersymmetries and their Representations, Nucl. Phys. B 135 (1978) 149 [INSPIRE].
B. de Wit and H. Nicolai, N=8 Supergravity, Nucl. Phys. B 208 (1982) 323 [INSPIRE].
M. Günaydin, L. Romans and N. Warner, Gauged N = 8 Supergravity in Five-Dimensions, Phys. Lett. B 154 (1985) 268 [INSPIRE].
M. Pernici, K. Pilch and P. van Nieuwenhuizen, Gauged Maximally Extended Supergravity in Seven-Dimensions, Phys. Lett. B 143 (1984) 103 [INSPIRE].
F. Giani, M. Pernici and P. van Nieuwenhuizen, Gauged N = 4 D = 6 Supergravity, Phys. Rev. D 30 (1984) 1680 [INSPIRE].
M. Cvetič, H. Lü and C. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett. 83 (1999) 5226 [hep-th/9906221] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
H. Lü, C. 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].
M. Cvetič, H. Lü, C. Pope, A. Sadrzadeh and T.A. Tran, Consistent SO(6) reduction of type IIB supergravity on S 5, Nucl. Phys. B 586 (2000) 275 [hep-th/0003103] [INSPIRE].
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] [INSPIRE].
B. de Wit and H. Nicolai, The Consistency of the S 7 Truncation in D = 11 Supergravity, Nucl. Phys. B 281 (1987) 211 [INSPIRE].
H. Nastase, D. Vaman and P. van Nieuwenhuizen, Consistent nonlinear K K reduction of 11 − D supergravity on AdS 7 × S 4 and selfduality in odd dimensions, Phys. Lett. B 469 (1999) 96 [hep-th/9905075] [INSPIRE].
H. Nastase, D. Vaman and P. van Nieuwenhuizen, Consistency of the AdS 7 × S 4 reduction and the origin of selfduality in odd dimensions, Nucl. Phys. B 581 (2000) 179 [hep-th/9911238] [INSPIRE].
G. Itsios, Y. Lozano, E. O Colgain and K. Sfetsos, Non-Abelian T-duality and consistent truncations in type-II supergravity, JHEP 08 (2012) 132 [arXiv:1205.2274] [INSPIRE].
E. Bergshoeff, C.M. Hull and T. Ortín, Duality in the type-II superstring effective action, Nucl. Phys. B 451 (1995) 547 [hep-th/9504081] [INSPIRE].
E. O Colgain and O. Varela, Consistent reductions from D = 11 beyond Sasaki-Einstein, Phys. Lett. B 703 (2011) 180 [arXiv:1106.4781] [INSPIRE].
D. Cassani and P. Koerber, Tri-Sasakian consistent reduction, JHEP 01 (2012) 086 [arXiv:1110.5327] [INSPIRE].
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] [INSPIRE].
J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv:0901.0676] [INSPIRE].
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] [INSPIRE].
D. Cassani, G. Dall’Agata and A.F. Faedo, Type IIB supergravity on squashed Sasaki-Einstein manifolds, JHEP 05 (2010) 094 [arXiv:1003.4283] [INSPIRE].
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] [INSPIRE].
E. O Colgain and H. Samtleben, 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications, JHEP 02 (2011) 031 [arXiv:1012.2145] [INSPIRE].
D. Cassani and A.F. Faedo, A Supersymmetric consistent truncation for conifold solutions, Nucl. Phys. B 843 (2011) 455 [arXiv:1008.0883] [INSPIRE].
D. Cassani, P. Koerber and O. Varela, All homogeneous N = 2 M-theory truncations with supersymmetric AdS 4 vacua, JHEP 11 (2012) 173 [arXiv:1208.1262] [INSPIRE].
D. Cassani and A.-K. Kashani-Poor, Exploiting N = 2 in consistent coset reductions of type IIA, Nucl. Phys. B 817 (2009) 25 [arXiv:0901.4251] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and F. Orsi, Supersymmetric Consistent Truncations of IIB on T 1,1, JHEP 04 (2011) 021 [arXiv:1008.0983] [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].
A. Buchel and J.T. Liu, Gauged supergravity from type IIB string theory on Y p,q manifolds, Nucl. Phys. B 771 (2007) 93 [hep-th/0608002] [INSPIRE].
J.P. Gauntlett and O. Varela, Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev. D 76 (2007) 126007 [arXiv:0707.2315] [INSPIRE].
J.P. Gauntlett and O. Varela, D = 5 SU (2) × U (1) Gauged Supergravity from D = 11 Supergravity, JHEP 02 (2008) 083 [arXiv:0712.3560] [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
L. Romans, Gauged N = 4 Supergravities in Five-Dimensions and Their Magnetovac Backgrounds, Nucl. Phys. B 267 (1986) 433 [INSPIRE].
H. Lü, C. Pope, E. Sezgin and K. Stelle, Dilatonic p-brane solitons, Phys. Lett. B 371 (1996) 46 [hep-th/9511203] [INSPIRE].
C. Núñez, I. Park, M. Schvellinger and T.A. Tran, Supergravity duals of gauge theories from F(4) gauged supergravity in six-dimensions, JHEP 04 (2001) 025 [hep-th/0103080] [INSPIRE].
U. Gürsoy, C. Núñez and M. Schvellinger, RG flows from spin(7), CY 4 fold and HK manifolds to AdS, Penrose limits and pp waves, JHEP 06 (2002) 015 [hep-th/0203124] [INSPIRE].
D.D. Chow, Charged rotating black holes in six-dimensional gauged supergravity, Class. Quant. Grav. 27 (2010) 065004 [arXiv:0808.2728] [INSPIRE].
Z.-W. Chong, H. Lü and C. Pope, BPS geometries and AdS bubbles, Phys. Lett. B 614 (2005) 96 [hep-th/0412221] [INSPIRE].
L. Barclay, R. Gregory, S. Parameswaran, G. Tasinato and I. Zavala, Lifshitz black holes in IIA supergravity, JHEP 05 (2012) 122 [arXiv:1203.0576] [INSPIRE].
R. Gregory, S.L. Parameswaran, G. Tasinato and I. Zavala, Lifshitz solutions in supergravity and string theory, JHEP 12 (2010) 047 [arXiv:1009.3445] [INSPIRE].
H. Braviner, R. Gregory and S.F. Ross, Flows involving Lifshitz solutions, Class. Quant. Grav. 28 (2011) 225028 [arXiv:1108.3067] [INSPIRE].
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nucl. Phys. B 483 (1997) 229 [hep-th/9609070] [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].
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].
H.-C. Kim, S.-S. Kim and K. Lee, 5-dim Superconformal Index with Enhanced En Global Symmetry, JHEP 10 (2012) 142 [arXiv:1206.6781] [INSPIRE].
D.L. Jafferis and S.S. Pufu, Exact results for five-dimensional superconformal field theories with gravity duals, arXiv:1207.4359 [INSPIRE].
B. Assel, J. Estes and M. Yamazaki, Wilson Loops in 5d N = 1 SCFTs and AdS/CFT, arXiv:1212.1202 [INSPIRE].
Y. Lozano, E. Ó Colgáin, D. Rodriguez-Gomez and K. Sfetsos, work in progress.
X.C. de la Ossa and F. Quevedo, Duality symmetries from nonAbelian isometries in string theory, Nucl. Phys. B 403 (1993) 377 [hep-th/9210021] [INSPIRE].
A. Giveon and M. Roček, On nonAbelian duality, Nucl. Phys. B 421 (1994) 173 [hep-th/9308154] [INSPIRE].
K. Sfetsos, Gauged WZW models and nonAbelian duality, Phys. Rev. D 50 (1994) 2784 [hep-th/9402031] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, On nonAbelian duality, Nucl. Phys. B 424 (1994) 155 [hep-th/9403155] [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].
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].
M. Minamitsuji and K. Uzawa, Cosmological brane systems in warped spacetime, Phys. Rev. D 87 (2013) 046010 [arXiv:1207.4334] [INSPIRE].
G.T. Horowitz and R.C. Myers, The AdS/CFT correspondence and a new positive energy conjecture for general relativity, Phys. Rev. D 59 (1998) 026005 [hep-th/9808079] [INSPIRE].
F.M. Haehl, The Schwarzschild-Black String AdS Soliton: Instability and Holographic Heat Transport, Class. Quantum Grav. 30 (2013) 055002 [arXiv:1210.5763] [INSPIRE].
S.W. Hawking, C.J. Hunter and M. Taylor, Rotation and the AdS / CFT correspondence, Phys. Rev. D 59 (1999) 064005 [hep-th/9811056].
G. Gibbons, H. Lü, D.N. Page and C. Pope, Rotating black holes in higher dimensions with a cosmological constant, Phys. Rev. Lett. 93 (2004) 171102 [hep-th/0409155] [INSPIRE].
W. Chen, H. Lü and C. Pope, General Kerr-NUT-AdS metrics in all dimensions, Class. Quant. Grav. 23 (2006) 5323 [hep-th/0604125] [INSPIRE].
S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].
S. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [INSPIRE].
I. Bakhmatov, E. O Colgain and H. Yavartanoo, Fermionic T-duality in the pp-wave limit, JHEP 10 (2011) 085 [arXiv:1109.1052] [INSPIRE].
K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, JHEP 08 (2010) 014 [arXiv:1005.3291] [INSPIRE].
A. Donos and J.P. Gauntlett, Lifshitz Solutions of D = 10 and D = 11 supergravity, JHEP 12 (2010) 002 [arXiv:1008.2062] [INSPIRE].
A. Donos, J.P. Gauntlett, N. Kim and O. Varela, Wrapped M5-branes, consistent truncations and AdS/CMT, JHEP 12 (2010) 003 [arXiv:1009.3805] [INSPIRE].
M. Cvetič and D. Youm, Near BPS saturated rotating electrically charged black holes as string states, Nucl. Phys. B 477 (1996) 449 [hep-th/9605051] [INSPIRE].
I. Bah, A. Faraggi, J.I. Jottar and R.G. Leigh, Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds, JHEP 01 (2011) 100 [arXiv:1009.1615] [INSPIRE].
I. Bah, A. Faraggi, J.I. Jottar, R.G. Leigh and L.A. Pando Zayas, Fermions and D = 11 Supergravity On Squashed Sasaki-Einstein Manifolds, JHEP 02 (2011) 068 [arXiv:1008.1423] [INSPIRE].
J.H. Schwarz, Covariant Field Equations of Chiral N = 2 D = 10 Supergravity, Nucl. Phys. B 226 (1983) 269 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1302.2105
Rights and permissions
About this article
Cite this article
Jeong, J., Kelekci, Ö. & Colgáin, E.Ó. An alternative IIB embedding of F(4) gauged supergravity. J. High Energ. Phys. 2013, 79 (2013). https://doi.org/10.1007/JHEP05(2013)079
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2013)079