Abstract
We present three infinite families of supersymmetric Type IIB backgrounds with AdS4, AdS3 and AdS2 factors, dual to SCFTs in 3, 2 and 1 space-time dimensions respectively. These field theories emerge at low energies, after a twisted compactification of a family of five dimensional \( \mathcal{N} \) = 1 SCFTs on hyperbolic spaces. The holographic flows across dimensions are explicitly computed. We also discuss a family of SUSY breaking backgrounds, dual to a QCD-like quiver with massive (bi)fundamental matter. Some field theoretical observables are computed for these theories at the fixed points and along the flow.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, New AdS2 backgrounds and N = 4 conformal quantum mechanics, JHEP 03 (2021) 277 [arXiv:2011.00005] [INSPIRE].
D. Corbino, Warped AdS2 and SU(1, 1|4) symmetry in type IIB, arXiv:2004.12613 [INSPIRE].
M. van Beest, S. Cizel, S. Schäfer-Nameki and J. Sparks, \( \mathcal{I} \)/c-extremization in M/F-duality, SciPost Phys. 9 (2020) 029 [arXiv:2004.04020] [INSPIRE].
Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, AdS2 duals to ADHM quivers with Wilson lines, JHEP 03 (2021) 145 [arXiv:2011.13932] [INSPIRE].
Y. Lozano, C. Núñez and A. Ramirez, AdS2 × S2 × CY2 solutions in type IIB with 8 supersymmetries, JHEP 04 (2021) 110 [arXiv:2101.04682] [INSPIRE].
C. Couzens, C. Lawrie, D. Martelli, S. Schäfer-Nameki and J.-M. Wong, F-theory and AdS3/CFT2, JHEP 08 (2017) 043 [arXiv:1705.04679] [INSPIRE].
N.T. Macpherson, Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry, JHEP 05 (2019) 089 [arXiv:1812.10172] [INSPIRE].
A. Legramandi and N.T. Macpherson, AdS3 solutions with from N = (3, 0) from S3 × S3 fibrations, Fortsch. Phys. 68 (2020) 2000014 [arXiv:1912.10509] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS3 solutions in massive IIA with small N = (4, 0) supersymmetry, JHEP 01 (2020) 129 [arXiv:1908.09851] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, Two dimensional N = (0, 4) quivers dual to AdS3 solutions in massive IIA, JHEP 01 (2020) 140 [arXiv:1909.10510] [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, 1/4 BPS solutions and the AdS3/CFT2 correspondence, Phys. Rev. D 101 (2020) 026014 [arXiv:1909.09636] [INSPIRE].
Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, M-strings and AdS3 solutions to M-theory with small N = (0, 4) supersymmetry, JHEP 08 (2020) 118 [arXiv:2005.06561] [INSPIRE].
C. Couzens, Y. Lozano, N. Petri and S. Vandoren, N = (0, 4) black string chains, arXiv:2109.10413 [INSPIRE].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS3 solutions in massive IIA, defect CFTs and T-duality, JHEP 12 (2019) 013 [arXiv:1909.11669] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS type IIB interface solutions. Part II. Flux solutions and multi-Janus, JHEP 06 (2007) 022 [arXiv:0705.0024] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Exact half-BPS flux solutions in M-theory. Part I. Local solutions, JHEP 08 (2008) 028 [arXiv:0806.0605] [INSPIRE].
B. Assel, C. Bachas, J. Estes and J. Gomis, Holographic duals of D = 3, N = 4 superconformal field theories, JHEP 08 (2011) 087 [arXiv:1106.4253] [INSPIRE].
C. Bachas, M. Bianchi and A. Hanany, N = 2 moduli of AdS4 vacua: a fine-print study, JHEP 08 (2018) 100 [Erratum ibid. 10 (2018) 032] [arXiv:1711.06722] [INSPIRE].
C. Bachas, I. Lavdas and B. Le Floch, Marginal deformations of 3d, N = 4 linear quiver theories, JHEP 10 (2019) 253 [arXiv:1905.06297] [INSPIRE].
B. Assel, C. Bachas, J. Estes and J. Gomis, IIB duals of D = 3, N = 4 circular quivers, JHEP 12 (2012) 044 [arXiv:1210.2590] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and C. Núñez, Three-dimensional N = 4 linear quivers and non-Abelian T-duals, JHEP 11 (2016) 133 [arXiv:1609.09061] [INSPIRE].
L. Coccia and C.F. Uhlemann, On the planar limit of 3d \( {T}_{\rho}^{\sigma } \)[SU(N)], JHEP 06 (2021) 038 [arXiv:2011.10050] [INSPIRE].
M. Akhond, A. Legramandi and C. Núñez, Electrostatic description of 3d, N = 4 linear quivers, JHEP 11 (2021) 205 [arXiv:2109.06193] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
R.A. Reid-Edwards and B. Stefanski jr., On type IIA geometries dual to N = 2 SCFTs, Nucl. Phys. B 849 (2011) 549 [arXiv:1011.0216] [INSPIRE].
O. Aharony, L. Berdichevsky and M. Berkooz, 4d N = 2 superconformal linear quivers with type IIA duals, JHEP 08 (2012) 131 [arXiv:1206.5916] [INSPIRE].
Y. Lozano and C. Núñez, Field theory aspects of non-Abelian T-duality and N = 2 linear quivers, JHEP 05 (2016) 107 [arXiv:1603.04440] [INSPIRE].
C. Núñez, D. Roychowdhury and D.C. Thompson, Integrability and non-integrability in N = 2 SCFTs and their holographic backgrounds, JHEP 07 (2018) 044 [arXiv:1804.08621] [INSPIRE].
C. Núñez, D. Roychowdhury, S. Speziali and S. Zacarías, Holographic aspects of four dimensional N = 2 SCFTs and their marginal deformations, Nucl. Phys. B 943 (2019) 114617 [arXiv:1901.02888] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS6 × S2 in type IIB supergravity. Part I. Local solutions, JHEP 08 (2016) 046 [arXiv:1606.01254] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Holographic duals for five-dimensional superconformal quantum field theories, Phys. Rev. Lett. 118 (2017) 101601 [arXiv:1611.09411] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS6 × S2 in type IIB supergravity. Part II. Global solutions and five-brane webs, JHEP 05 (2017) 131 [arXiv:1703.08186] [INSPIRE].
M. Gutperle, C. Marasinou, A. Trivella and C.F. Uhlemann, Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs, JHEP 09 (2017) 125 [arXiv:1705.01561] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS6 × S2 in type IIB supergravity. Part III. Global solutions with seven-branes, JHEP 11 (2017) 200 [arXiv:1706.00433] [INSPIRE].
M. Gutperle, A. Trivella and C.F. Uhlemann, Type IIB 7-branes in warped AdS6: partition functions, brane webs and probe limit, JHEP 04 (2018) 135 [arXiv:1802.07274] [INSPIRE].
M. Fluder and C.F. Uhlemann, Precision test of AdS6/CFT5 in type IIB string theory, Phys. Rev. Lett. 121 (2018) 171603 [arXiv:1806.08374] [INSPIRE].
O. Bergman, D. Rodríguez-Gómez and C.F. Uhlemann, Testing AdS6/CFT5 in type IIB with stringy operators, JHEP 08 (2018) 127 [arXiv:1806.07898] [INSPIRE].
Y. Lozano, N.T. Macpherson and J. Montero, AdS6 T-duals and type IIB AdS6 × S2 geometries with 7-branes, JHEP 01 (2019) 116 [arXiv:1810.08093] [INSPIRE].
C.F. Uhlemann, Exact results for 5d SCFTs of long quiver type, JHEP 11 (2019) 072 [arXiv:1909.01369] [INSPIRE].
C.F. Uhlemann, Wilson loops in 5d long quiver gauge theories, JHEP 09 (2020) 145 [arXiv:2006.01142] [INSPIRE].
A. Legramandi and C. Núñez, Electrostatic description of five-dimensional SCFTs, Nucl. Phys. B 974 (2022) 115630 [arXiv:2104.11240] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS7 solutions of type-II supergravity, JHEP 04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
D. Gaiotto and A. Tomasiello, Holography for (1, 0) theories in six dimensions, JHEP 12 (2014) 003 [arXiv:1404.0711] [INSPIRE].
S. Cremonesi and A. Tomasiello, 6d holographic anomaly match as a continuum limit, JHEP 05 (2016) 031 [arXiv:1512.02225] [INSPIRE].
C. Núñez, J.M. Penín, D. Roychowdhury and J. Van Gorsel, The non-integrability of strings in massive type IIA and their holographic duals, JHEP 06 (2018) 078 [arXiv:1802.04269] [INSPIRE].
K. Filippas, C. Núñez and J. Van Gorsel, Integrability and holographic aspects of six-dimensional N = (1, 0) superconformal field theories, JHEP 06 (2019) 069 [arXiv:1901.08598] [INSPIRE].
O. Bergman, M. Fazzi, D. Rodríguez-Gómez and A. Tomasiello, Charges and holography in 6d, (1, 0) theories, JHEP 05 (2020) 138 [arXiv:2002.04036] [INSPIRE].
I. Bah, A. Passias and A. Tomasiello, AdS5 compactifications with punctures in massive IIA supergravity, JHEP 11 (2017) 050 [arXiv:1704.07389] [INSPIRE].
A. Passias, G. Solard and A. Tomasiello, N = 2 supersymmetric AdS4 solutions of type IIB supergravity, JHEP 04 (2018) 005 [arXiv:1709.09669] [INSPIRE].
N. Bobev, P. Bomans and F.F. Gautason, Wrapped branes and punctured horizons, JHEP 06 (2020) 011 [arXiv:1912.04779] [INSPIRE].
G. Itsios, Y. Lozano, J. Montero and C. Núñez, The AdS5 non-Abelian T-dual of Klebanov-Witten as a N = 1 linear quiver from M5-branes, JHEP 09 (2017) 038 [arXiv:1705.09661] [INSPIRE].
I. Bah, A. Passias and P. Weck, Holographic duals of five-dimensional SCFTs on a Riemann surface, JHEP 01 (2019) 058 [arXiv:1807.06031] [INSPIRE].
G. Dibitetto and N. Petri, BPS objects in D = 7 supergravity and their M-theory origin, JHEP 12 (2017) 041 [arXiv:1707.06152] [INSPIRE].
G. Dibitetto and N. Petri, 6d surface defects from massive type IIA, JHEP 01 (2018) 039 [arXiv:1707.06154] [INSPIRE].
G.B. De Luca, N. De Ponti, A. Mondino and A. Tomasiello, Cheeger bounds on spin-two fields, JHEP 12 (2021) 217 [arXiv:2109.11560] [INSPIRE].
L.J. Romans, The F(4) gauged supergravity in six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
N. Bobev and P.M. Crichigno, Universal RG flows across dimensions and holography, JHEP 12 (2017) 065 [arXiv:1708.05052] [INSPIRE].
J. Hong, J.T. Liu and D.R. Mayerson, Gauged six-dimensional supergravity from warped IIB reductions, JHEP 09 (2018) 140 [arXiv:1808.04301] [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].
M. Suh, Supersymmetric AdS6 black holes from F(4) gauged supergravity, JHEP 01 (2019) 035 [arXiv:1809.03517] [INSPIRE].
F. Apruzzi, J.C. Geipel, A. Legramandi, N.T. Macpherson and M. Zagermann, Minkowski4 × S2 solutions of IIB supergravity, Fortsch. Phys. 66 (2018) 1800006 [arXiv:1801.00800] [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].
G. Dibitetto, N. Petri and M. Schillo, Nothing really matters, JHEP 08 (2020) 040 [arXiv:2002.01764] [INSPIRE].
E. Witten, Supersymmetric Yang-Mills theory on a four manifold, J. Math. Phys. 35 (1994) 5101 [hep-th/9403195] [INSPIRE].
M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys. B 463 (1996) 420 [hep-th/9511222] [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].
B.S. Acharya, J.P. Gauntlett and N. Kim, Five-branes wrapped on associative three cycles, Phys. Rev. D 63 (2001) 106003 [hep-th/0011190] [INSPIRE].
M. Naka, Various wrapped branes from gauged supergravities, hep-th/0206141 [INSPIRE].
J.M. Maldacena and C. Núñez, Towards the large N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].
H. Nieder and Y. Oz, Supergravity and D-branes wrapping special Lagrangian cycles, JHEP 03 (2001) 008 [hep-th/0011288] [INSPIRE].
J.P. Gauntlett, N. Kim and D. Waldram, M5-branes wrapped on supersymmetric cycles, Phys. Rev. D 63 (2001) 126001 [hep-th/0012195] [INSPIRE].
J.D. Edelstein and C. Núñez, D6-branes and M-theory geometrical transitions from gauged supergravity, JHEP 04 (2001) 028 [hep-th/0103167] [INSPIRE].
J. Gomis, D-branes, holonomy and M-theory, Nucl. Phys. B 606 (2001) 3 [hep-th/0103115] [INSPIRE].
I. Bah, C. Beem, N. Bobev and B. Wecht, Four-dimensional SCFTs from M5-branes, JHEP 06 (2012) 005 [arXiv:1203.0303] [INSPIRE].
N. Kim and M. Shim, Wrapped brane solutions in Romans F(4) gauged supergravity, Nucl. Phys. B 951 (2020) 114882 [arXiv:1909.01534] [INSPIRE].
P. Karndumri, Holographic RG flows in six dimensional F(4) gauged supergravity, JHEP 01 (2013) 134 [Erratum ibid. 06 (2015) 165] [arXiv:1210.8064] [INSPIRE].
D. Elander, M. Piai and J. Roughley, Coulomb branch of N = 4 SYM and dilatonic scions in supergravity, Phys. Rev. D 104 (2021) 046003 [arXiv:2103.06721] [INSPIRE].
D. Elander, M. Piai and J. Roughley, Light dilaton in a metastable vacuum, Phys. Rev. D 103 (2021) 046009 [arXiv:2011.07049] [INSPIRE].
D. Elander, M. Piai and J. Roughley, Dilatonic states near holographic phase transitions, Phys. Rev. D 103 (2021) 106018 [arXiv:2010.04100] [INSPIRE].
D. Elander, M. Piai and J. Roughley, Probing the holographic dilaton, JHEP 06 (2020) 177 [Erratum ibid. 12 (2020) 109] [arXiv:2004.05656] [INSPIRE].
Y. Bea et al., Compactifications of the Klebanov-Witten CFT and new AdS3 backgrounds, JHEP 05 (2015) 062 [arXiv:1503.07527] [INSPIRE].
N.T. Macpherson, C. Núñez, L.A. Pando Zayas, V.G.J. Rodgers and C.A. Whiting, Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities, JHEP 02 (2015) 040 [arXiv:1410.2650] [INSPIRE].
A.F. Faedo, C. Núñez and C. Rosen, Consistent truncations of supergravity and \( \frac{1}{2} \)-BPS RG flows in 4d SCFTs, JHEP 03 (2020) 080 [arXiv:1912.13516] [INSPIRE].
U. Kol, C. Núñez, D. Schofield, J. Sonnenschein and M. Warschawski, Confinement, phase transitions and non-locality in the entanglement entropy, JHEP 06 (2014) 005 [arXiv:1403.2721] [INSPIRE].
M. Sacchi, O. Sela and G. Zafrir, Compactifying 5d superconformal field theories to 3d, JHEP 09 (2021) 149 [arXiv:2105.01497] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2109.11554
Rights and permissions
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.
About this article
Cite this article
Legramandi, A., Nunez, C. Holographic description of SCFT5 compactifications. J. High Energ. Phys. 2022, 10 (2022). https://doi.org/10.1007/JHEP02(2022)010
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2022)010