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.
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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].
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ArXiv ePrint: 1507.01515
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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
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DOI: https://doi.org/10.1007/JHEP09(2015)034