Abstract
We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure of the space is AdS2 × S2 × CY2 × S1 fibered over an interval. These solutions can be related through double analytical continuations with those recently constructed in [1]. Both types of solutions are however dual to very different superconformal quantum mechanics. We show that our solutions fit locally in the class of AdS2 × S2 × CY2 solutions fibered over a 2d Riemann surface Σ constructed by Chiodaroli, Gutperle and Krym, in the absence of D3 and D7 brane sources. We compare our solutions to the global solutions constructed by Chiodaroli, D’Hoker and Gutperle for Σ an annulus. We also construct a cohomogeneity-two family of solutions using non-Abelian T-duality. Finally, we relate the holographic central charge of our one dimensional system to a combination of electric and magnetic fluxes. We propose an extremisation principle for the central charge from a functional constructed out of the RR fluxes.
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Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, New AdS2 backgrounds and \( \mathcal{N} \) = 4 Conformal Quantum Mechanics, arXiv:2011.00005 [INSPIRE].
(1999) J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [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].
A. Brandhuber and Y. Oz, The D-4 - D-8 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 AdS6 duals, JHEP 07 (2012) 171 [arXiv:1206.3503] [INSPIRE].
Y. Lozano, E. Ó Colgáin, D. Rodríguez-Gómez and K. Sfetsos, Supersymmetric AdS6 via T Duality, Phys. Rev. Lett. 110 (2013) 231601 [arXiv:1212.1043] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS6 × S2 in Type IIB supergravity 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 III: Global solutions with seven-branes, JHEP 11 (2017) 200 [arXiv:1706.00433] [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].
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].
C. Núñez, D. Roychowdhury, S. Speziali and S. Zacarías, Holographic aspects of four dimensional \( \mathcal{N} \) = 2 SCFTs and their marginal deformations, Nucl. Phys. B 943 (2019) 114617 [arXiv:1901.02888] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus, JHEP 06 (2007) 021 [arXiv:0705.0022] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Exact Half-BPS Flux Solutions in M-theory. 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. 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].
Y. Lozano, N.T. Macpherson, C. Núñez and A. Ramirez, AdS3 solutions in Massive IIA with small \( \mathcal{N} \) = (4, 0) supersymmetry, JHEP 01 (2020) 129 [arXiv:1908.09851] [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, N.T. Macpherson, C. Núñez and A. Ramirez, Two dimensional \( \mathcal{N} \) = (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, AdS3 solutions in massive IIA, defect CFTs and T-duality, JHEP 12 (2019) 013 [arXiv:1909.11669] [INSPIRE].
Y. Lozano, C. Núñez, A. Ramirez and S. Speziali, M-strings and AdS3 solutions to M-theory with small \( \mathcal{N} \) = (0, 4) supersymmetry, JHEP 08 (2020) 118 [arXiv:2005.06561] [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, Searching for surface defect CFTs within AdS3, JHEP 11 (2020) 052 [arXiv:2007.16167] [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, New \( \mathcal{N} \) = (0, 4) AdS3 near-horizons in Type IIB, arXiv:2012.07148 [INSPIRE].
G. Dibitetto and N. Petri, AdS3 from M-branes at conical singularities, JHEP 01 (2021) 129 [arXiv:2010.12323] [INSPIRE].
G. Dibitetto and N. Petri, AdS2 solutions and their massive IIA origin, JHEP 05 (2019) 107 [arXiv:1811.11572] [INSPIRE].
J.P. Gauntlett, N. Kim and D. Waldram, Supersymmetric AdS3, AdS2 and Bubble Solutions, JHEP 04 (2007) 005 [hep-th/0612253] [INSPIRE].
N. Kim, Comments on AdS2 solutions from M2-branes on complex curves and the backreacted Kähler geometry, Eur. Phys. J. C 74 (2014) 2778 [arXiv:1311.7372] [INSPIRE].
M. Chiodaroli, M. Gutperle and D. Krym, Half-BPS Solutions locally asymptotic to AdS3 × S3 and interface conformal field theories, JHEP 02 (2010) 066 [arXiv:0910.0466] [INSPIRE].
M. Chiodaroli, E. D’Hoker and M. Gutperle, Open Worldsheets for Holographic Interfaces, JHEP 03 (2010) 060 [arXiv:0912.4679] [INSPIRE].
D. Corbino, E. D’Hoker, J. Kaidi and C.F. Uhlemann, Global half-BPS AdS2 × S6 solutions in Type IIB, JHEP 03 (2019) 039 [arXiv:1812.10206] [INSPIRE].
D. Corbino, Warped AdS2 and SU(1, 1|4) symmetry in Type IIB, arXiv:2004.12613 [INSPIRE].
G. Dibitetto, Y. Lozano, N. Petri and A. Ramirez, Holographic description of M-branes via AdS2, JHEP 04 (2020) 037 [arXiv:1912.09932] [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 and C. Núñez, Field theory aspects of non-Abelian T-duality and \( \mathcal{N} \) = 2 linear quivers, JHEP 05 (2016) 107 [arXiv:1603.04440] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and C. Núñez, Three-dimensional \( \mathcal{N} \) = 4 linear quivers and non-Abelian T-duals, JHEP 11 (2016) 133 [arXiv:1609.09061] [INSPIRE].
Y. Lozano, C. Núñez and S. Zacarias, BMN Vacua, Superstars and Non-Abelian T-duality, JHEP 09 (2017) 008 [arXiv:1703.00417] [INSPIRE].
G. Itsios, Y. Lozano, J. Montero and C. Núñez, The AdS5 non-Abelian T-dual of Klebanov-Witten as a \( \mathcal{N} \) = 1 linear quiver from M5-branes, JHEP 09 (2017) 038 [arXiv:1705.09661] [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].
Y. Bea, J.D. Edelstein, G. Itsios, K.S. Kooner, C. Núñez, D. Schofield et al., Compactifications of the Klebanov-Witten CFT and new AdS3 backgrounds, JHEP 05 (2015) 062 [arXiv:1503.07527] [INSPIRE].
B. Assel and A. Sciarappa, On monopole bubbling contributions to ‘t Hooft loops, JHEP 05 (2019) 180 [arXiv:1903.00376] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Gravity duals of half-BPS Wilson loops, JHEP 06 (2007) 063 [arXiv:0705.1004] [INSPIRE].
E. D’Hoker, M. Gutperle and C.F. Uhlemann, Warped AdS6 × S2 in Type IIB supergravity II: Global solutions and five-brane webs, JHEP 05 (2017) 131 [arXiv:1703.08186] [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].
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].
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].
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, Nucl. Phys. B 873 (2013) 1 [arXiv:1301.6755] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé, J.L.F. Barbón and Y. Lozano, Some global aspects of duality in string theory, Nucl. Phys. B 415 (1994) 71 [hep-th/9309039] [INSPIRE].
C. Couzens, J.P. Gauntlett, D. Martelli and J. Sparks, A geometric dual of c-extremization, JHEP 01 (2019) 212 [arXiv:1810.11026] [INSPIRE].
J.P. Gauntlett, D. Martelli and J. Sparks, Toric geometry and the dual of c-extremization, JHEP 01 (2019) 204 [arXiv:1812.05597] [INSPIRE].
K. Filippas, Non-integrability on AdS3 supergravity backgrounds, JHEP 02 (2020) 027 [arXiv:1910.12981] [INSPIRE].
K.S. Rigatos, Non-integrability in AdS3 vacua, JHEP 02 (2021) 032 [arXiv:2011.08224] [INSPIRE].
C. Núñez, D. Roychowdhury and D.C. Thompson, Integrability and non-integrability in \( \mathcal{N} \) = 2 SCFTs and their holographic backgrounds, JHEP 07 (2018) 044 [arXiv:1804.08621] [INSPIRE].
K. Filippas, C. Núñez and J. Van Gorsel, Integrability and holographic aspects of six-dimensional \( \mathcal{N} \) = (1, 0) superconformal field theories, JHEP 06 (2019) 069 [arXiv:1901.08598] [INSPIRE].
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Lozano, Y., Nunez, C. & Ramirez, A. AdS2 × S2 × CY2 solutions in Type IIB with 8 supersymmetries. J. High Energ. Phys. 2021, 110 (2021). https://doi.org/10.1007/JHEP04(2021)110
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DOI: https://doi.org/10.1007/JHEP04(2021)110