Abstract
We study supersymmetric AdS 4 × Σ2 and AdS 3 × Σ3 solutions in half-maximal gauged supergravity in six dimensions with SU(2) R × SU(2) gauge group. The gauged supergravity is obtained by coupling three vector multiplets to the pure F(4) gauged supergravity. The SU(2) R R-symmetry together with the SO(3) ∼ SU(2) symmetry of the vector multiplets are gauged. The resulting gauged supergravity admits supersymmetric AdS 6 critical points with SO(4) ∼ SU(2) × SU(2) and SO(3) ∼ SU(2)diag symmetries. The former corresponds to five-dimensional N = 2 superconformal field theories (SCFTs) with E 1 ∼ SU(2) symmetry. We find new classes of supersymmetric AdS 4 × Σ2 and AdS 3 × Σ3 solutions with Σ2,3 being S 2,3 and H 2,3. These solutions describe SCFTs in three and two dimensions obtained from twisted compactifications of the aforementioned five-dimensional SCFTs with different numbers of unbroken supersymmetry and various types of global symmetries.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
N. Seiberg, Nontrivial fixed points of the renormalization group in six-dimensions, Phys. Lett. B 390 (1997) 169 [hep-th/9609161] [INSPIRE].
J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [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].
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].
P. Karndumri, Holographic RG flows in six dimensional F(4) gauged supergravity, JHEP 01 (2013) 134 [Erratum ibid. 1506 (2015) 165] [arXiv:1210.8064] [INSPIRE].
P. Karndumri, Gravity duals of 5D N = 2 SYM theory from F(4) gauged supergravity, Phys. Rev. D 90 (2014) 086009 [arXiv:1403.1150] [INSPIRE].
A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].
F. Apruzzi, M. Fazzi, A. Passias, D. Rosa and A. Tomasiello, AdS 6 solutions of type-II supergravity, JHEP 11 (2014) 099 [Erratum ibid. 1505 (2015) 012] [arXiv:1406.0852] [INSPIRE].
H. Kim, N. Kim and M. Suh, Supersymmetric AdS 6 Solutions of Type IIB Supergravity, arXiv:1506.05480 [INSPIRE].
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].
S. Ferrara, A. Kehagias, H. Partouche and A. Zaffaroni, AdS 6 interpretation of 5d superconformal field theories, Phys. Lett. B 431 (1998) 57 [hep-th/9804006] [INSPIRE].
R. D’Auria, S. Ferrara and S. Vaula, Matter coupled F(4) supergravity and the AdS 6 /CFT 5 correspondence, JHEP 10 (2000) 013 [hep-th/0006107] [INSPIRE].
L. Andrianopoli, R. D’Auria and S. Vaula, Matter coupled F(4) gauged supergravity Lagrangian, JHEP 05 (2001) 065 [hep-th/0104155] [INSPIRE].
L.J. Romans, The F(4) Gauged Supergravity in Six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
C. Núñez, I.Y. 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].
P. Karndumri, RG flows in D6 N = (1, 0) SCFT from SO(4) half-maximal 7D gauged supergravity, JHEP 06 (2014) 101 [arXiv:1404.0183] [INSPIRE].
P. Karndumri, RG flows from (1,0) 6D SCFTs to N = 1 SCFTs in four and three dimensions, JHEP 06 (2015) 027 [arXiv:1503.04997] [INSPIRE].
S. Cucu, H. Lü and J.F. Vazquez-Poritz, A Supersymmetric and smooth compactification of M-theory to AdS 5, Phys. Lett. B 568 (2003) 261 [hep-th/0303211] [INSPIRE].
S. Cucu, H. Lü and J.F. Vazquez-Poritz, Interpolating from AdS (D−2) × S 2 to AdS D , Nucl. Phys. B 677 (2004) 181 [hep-th/0304022] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett. 83 (1999) 5226 [hep-th/9906221] [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].
P. Karndumri, Noncompact gauging of N = 2 7D supergravity and AdS/CFT holography, JHEP 02 (2015) 034 [arXiv:1411.4542] [INSPIRE].
J. Louis and S. Lüst, Supersymmetric AdS 7 backgrounds in half-maximal supergravity and marginal operators of (1,0) SCFTs, arXiv:1506.08040 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1507.01515
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Karndumri, P. Twisted compactification of N = 2 5D SCFTs to three and two dimensions from F(4) gauged supergravity. J. High Energ. Phys. 2015, 34 (2015). https://doi.org/10.1007/JHEP09(2015)034
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2015)034