Abstract
We find a new supersymmetric solution of type IIB supergravity which is the uplift of the GPPZ solution of maximal SO(6) gauged supergravity in five dimensions. This background is expected to be holographically dual to an \( \mathcal{N}={1}^{\ast } \) supersymmetric mass deformation of four-dimensional \( \mathcal{N}=4 \) SYM. The ten-dimensional solution is singular in the region corresponding to the IR regime of the dual gauge theory and we discuss the physics of the singularity in some detail.
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References
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 superYang-Mills from AdS dynamics, JHEP 12 (1998) 022 [hep-th/9810126] [INSPIRE].
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] [INSPIRE].
H.J. Kim, L.J. Romans and P. van Nieuwenhuizen, The Mass Spectrum of Chiral N = 2 D = 10 Supergravity on S 5, Phys. Rev. D 32 (1985) 389[INSPIRE].
M. Günaydin, L.J. Romans and N.P. Warner, Gauged N = 8 Supergravity in Five-Dimensions, Phys. Lett. 154B (1985) 268 [INSPIRE].
M. Günaydin, L.J. Romans and N.P. Warner, Compact and Noncompact Gauged Supergravity Theories in Five-Dimensions, Nucl. Phys. B 272 (1986) 598 [INSPIRE].
M. Pernici, K. Pilch and P. van Nieuwenhuizen, Gauged N = 8 D = 5 Supergravity, Nucl. Phys. B 259 (1985) 460 [INSPIRE].
M. Cvetič, H. Lü, C.N. 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].
K. Pilch and N.P. Warner, N = 2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [INSPIRE].
K. Lee, C. Strickland-Constable and D. Waldram, Spheres, generalised parallelisability and consistent truncations, Fortsch. Phys. 65 (2017) 1700048 [arXiv:1401.3360] [INSPIRE].
A. Baguet, O. Hohm and H. Samtleben, Consistent Type IIB Reductions to Maximal 5D Supergravity, Phys. Rev. D 92 (2015) 065004 [arXiv:1506.01385] [INSPIRE].
O. Hohm and H. Samtleben, Exceptional Field Theory I: E 6(6) covariant Form of M-theory and Type IIB, Phys. Rev. D 89 (2014) 066016 [arXiv:1312.0614] [INSPIRE].
A. Baguet, O. Hohm and H. Samtleben, E 6(6) Exceptional Field Theory: Review and Embedding of Type IIB, PoS CORFU2014 (2015) 133 [arXiv:1506.01065] [INSPIRE].
N. Bobev, F.F. Gautason and J. Van Muiden, Precision Holography for \( \mathcal{N}={2}^{\ast } \) on S 4 from type IIB Supergravity, JHEP 04 (2018) 148 [arXiv:1802.09539] [INSPIRE].
N. Bobev, H. Elvang, D.Z. Freedman and S.S. Pufu, Holography for N = 2∗ on S 4, JHEP 07 (2014) 001 [arXiv:1311.1508] [INSPIRE].
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, The Supergravity dual of N = 1 superYang-Mills theory, Nucl. Phys. B 569 (2000) 451 [hep-th/9909047] [INSPIRE].
N. Bobev, H. Elvang, U. Kol, T. Olson and S.S. Pufu, Holography for \( \mathcal{N}={1}^{\ast } \) on S 4, JHEP 10 (2016) 095 [arXiv:1605.00656] [INSPIRE].
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] [INSPIRE].
J. Polchinski and M.J. Strassler, The String dual of a confining four-dimensional gauge theory, hep-th/0003136 [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
N. Dorey and S.P. Kumar, Softly broken N = 4 supersymmetry in the large N limit, JHEP 02 (2000) 006 [hep-th/0001103] [INSPIRE].
N. Dorey, An Elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, JHEP 07 (1999) 021 [hep-th/9906011] [INSPIRE].
O. Aharony, N. Dorey and S.P. Kumar, New modular invariance in the N = 1∗ theory, operator mixings and supergravity singularities, JHEP 06 (2000) 026 [hep-th/0006008] [INSPIRE].
S.S. Gubser, Curvature singularities: The Good, the bad and the naked, Adv. Theor. Math. Phys. 4 (2000) 679 [hep-th/0002160] [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].
M. Petrini, H. Samtleben, S. Schmidt and K. Skenderis, The 10d Uplift of the GPPZ Solution, JHEP 07 (2018) 026 [arXiv:1805.01919] [INSPIRE].
R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 95[hep-th/9503121] [INSPIRE].
N.P. Warner, Some New Extrema of the Scalar Potential of Gauged N = 8 Supergravity, Phys. Lett. 128B (1983) 169 [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].
K. Pilch, unpublished notes.
K.A. Intriligator, Bonus symmetries of N = 4 superYang-Mills correlation functions via AdS duality, Nucl. Phys. B 551 (1999) 575 [hep-th/9811047] [INSPIRE].
O. Biquard, Métriques hyperkählériennes pliées, arXiv:1503.04128 [INSPIRE].
N. Bobev, F.F. Gautason, B.E. Niehoff and J. van Muiden, in progress.
A. Khavaev and N.P. Warner, A Class of N = 1 supersymmetric RG flows from five-dimensional N = 8 supergravity, Phys. Lett. B 495 (2000) 215 [hep-th/0009159] [INSPIRE].
D.Z. Freedman and J.A. Minahan, Finite temperature effects in the supergravity dual of the N =1∗ gauge theory, JHEP 01 (2001) 036 [hep-th/0007250] [INSPIRE].
N. Bobev, P. Bomans and F.F. Gautason, Spherical Branes, JHEP 08 (2018) 029 [arXiv:1805.05338] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
I.R. Klebanov and A.A. Tseytlin, Gravity duals of supersymmetric SU(N) × SU(N + M) gauge theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [INSPIRE].
J.M. Maldacena and C. Núñez, Towards the large N limit of pure N = 1 superYang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].
C.N. Pope and N.P. Warner, A Dielectric flow solution with maximal supersymmetry, JHEP 04 (2004) 011 [hep-th/0304132] [INSPIRE].
I. Bena and N.P. Warner, A Harmonic family of dielectric flow solutions with maximal supersymmetry, JHEP 12 (2004) 021 [hep-th/0406145] [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].
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Bobev, N., Gautason, F.F., Niehoff, B.E. et al. Uplifting GPPZ: a ten-dimensional dual of \( \mathcal{N}={1}^{\ast } \). J. High Energ. Phys. 2018, 58 (2018). https://doi.org/10.1007/JHEP10(2018)058
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DOI: https://doi.org/10.1007/JHEP10(2018)058