Abstract
Warped AdS3 solutions in 10 dimensional supergravity that preserve \( \mathcal{N} \) = (1, 1) supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS3 factor experiencing an enhancement to AdS4, are presented. The internal space of such solutions decomposes as a foliation of M6 over an interval where M6 supports either an SU(3)- or SU(2)-structure. The former case is classified in terms of torsion classes and new solutions are found.
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A.S. Haupt, S. Lautz and G. Papadopoulos, A non-existence theorem for N > 16 supersymmetric AdS3 backgrounds, JHEP 07 (2018) 178 [arXiv:1803.08428] [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].
J. de Boer, A. Pasquinucci and K. Skenderis, AdS/CFT dualities involving large 2D N = 4 superconformal symmetry, Adv. Theor. Math. Phys. 3 (1999) 577 [hep-th/9904073] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel, R. Gopakumar and W. Li, BPS spectrum on AdS3 × S3 × S3 × S1, JHEP 03 (2017) 124 [arXiv:1701.03552] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel and W. Li, A holographic dual for string theory on AdS3 × S3 × S3 × S1, JHEP 08 (2017) 111 [arXiv:1707.02705] [INSPIRE].
M.R. Gaberdiel and R. Gopakumar, Tensionless string spectra on AdS3, JHEP 05 (2018) 085 [arXiv:1803.04423] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel and R. Gopakumar, The worldsheet dual of the symmetric product CFT, JHEP 04 (2019) 103 [arXiv:1812.01007] [INSPIRE].
L. Eberhardt, M.R. Gaberdiel and R. Gopakumar, Deriving the AdS3/CFT2 correspondence, JHEP 02 (2020) 136 [arXiv:1911.00378] [INSPIRE].
E.S. Fradkin and V.Y. Linetsky, Results of the classification of superconformal algebras in two-dimensions, Phys. Lett. B 282 (1992) 352 [hep-th/9203045] [INSPIRE].
S. Beck, U. Gran, J. Gutowski and G. Papadopoulos, All Killing superalgebras for warped AdS backgrounds, JHEP 12 (2018) 047 [arXiv:1710.03713] [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].
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].
J. Estes, R. Feldman and D. Krym, Exact half-BPS flux solutions in M theory with D(2, 1; c′; 0)2 symmetry: local solutions, Phys. Rev. D 87 (2013) 046008 [arXiv:1209.1845] [INSPIRE].
C. Bachas, E. D’Hoker, J. Estes and D. Krym, M-theory solutions invariant under D(2, 1; γ) ⊕ D(2, 1; γ), Fortsch. Phys. 62 (2014) 207 [arXiv:1312.5477] [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, G. Lo Monaco and N.T. Macpherson, All N = (8, 0) AdS3 solutions in 10 and 11 dimensions, JHEP 05 (2021) 263 [arXiv:2012.10507] [INSPIRE].
G. Dibitetto, G. Lo Monaco, A. Passias, N. Petri and A. Tomasiello, AdS3 solutions with exceptional supersymmetry, Fortsch. Phys. 66 (2018) 1800060 [arXiv:1807.06602] [INSPIRE].
N.S. Deger, C. Eloy and H. Samtleben, N = (8, 0) AdS vacua of three-dimensional supergravity, JHEP 10 (2019) 145 [arXiv:1907.12764] [INSPIRE].
G. Dibitetto and N. Petri, AdS3 from M-branes at conical singularities, JHEP 01 (2021) 129 [arXiv:2010.12323] [INSPIRE].
J.P. Gauntlett and O.A.P. Mac Conamhna, AdS spacetimes from wrapped D3-branes, Class. Quant. Grav. 24 (2007) 6267 [arXiv:0707.3105] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and E.Ó. Colgáin, New AdS3 × S2 T-duals with N = (0, 4) supersymmetry, JHEP 08 (2015) 121 [arXiv:1507.02659] [INSPIRE].
Ö. Kelekci, Y. Lozano, J. Montero, E.Ó. Colgáin and M. Park, Large superconformal near-horizons from M-theory, Phys. Rev. D 93 (2016) 086010 [arXiv:1602.02802] [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, 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 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].
J.M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M-theory, JHEP 12 (1997) 002 [hep-th/9711053] [INSPIRE].
H. Kim, K.K. Kim and N. Kim, 1/4-BPS M-theory bubbles with SO(3) × SO(4) symmetry, JHEP 08 (2007) 050 [arXiv:0706.2042] [INSPIRE].
E. O Colgain, J.-B. Wu and H. Yavartanoo, Supersymmetric AdS3 × S2 M-theory geometries with fluxes, JHEP 08 (2010) 114 [arXiv:1005.4527] [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].
F. Faedo, Y. Lozano and N. Petri, New N = (0, 4) AdS3 near-horizons in type IIB, JHEP 04 (2021) 028 [arXiv:2012.07148] [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, Searching for surface defect CFTs within AdS3, JHEP 11 (2020) 052 [arXiv:2007.16167] [INSPIRE].
S. Zacarias, Marginal deformations of a class of AdS3 N = (0, 4) holographic backgrounds, JHEP 06 (2021) 017 [arXiv:2102.05681] [INSPIRE].
C. Couzens, Y. Lozano, N. Petri and S. Vandoren, N = (0, 4) black string chains, arXiv:2109.10413 [INSPIRE].
A. Donos and J.P. Gauntlett, Flowing from AdS5 to AdS3 with T1,1, JHEP 08 (2014) 006 [arXiv:1404.7133] [INSPIRE].
C. Couzens, N.T. Macpherson and A. Passias, N = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces, JHEP 02 (2022) 189 [arXiv:2107.13562] [INSPIRE].
L. Eberhardt, Supersymmetric AdS3 supergravity backgrounds and holography, JHEP 02 (2018) 087 [arXiv:1710.09826] [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].
J.P. Gauntlett and N. Kim, M5-branes wrapped on supersymmetric cycles. 2, Phys. Rev. D 65 (2002) 086003 [hep-th/0109039] [INSPIRE].
P. Figueras, O.A.P. Mac Conamhna and E. O Colgain, Global geometry of the supersymmetric AdS3/CFT2 correspondence in M-theory, Phys. Rev. D 76 (2007) 046007 [hep-th/0703275] [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].
L. Eberhardt and I.G. Zadeh, N = (3, 3) holography on AdS3 × (S3 × S3 × S1)/Z2, JHEP 07 (2018) 143 [arXiv:1805.09832] [INSPIRE].
N. Kim, AdS3 solutions of IIB supergravity from D3-branes, JHEP 01 (2006) 094 [hep-th/0511029] [INSPIRE].
C. Couzens, D. Martelli and S. Schäfer-Nameki, F-theory and AdS3/CFT2 (2, 0), JHEP 06 (2018) 008 [arXiv:1712.07631] [INSPIRE].
C. Couzens, N = (0, 2) AdS3 solutions of type IIB and F-theory with generic fluxes, JHEP 04 (2021) 038 [arXiv:1911.04439] [INSPIRE].
D. Martelli and J. Sparks, G structures, fluxes and calibrations in M-theory, Phys. Rev. D 68 (2003) 085014 [hep-th/0306225] [INSPIRE].
D. Tsimpis, M-theory on eight-manifolds revisited: N = 1 supersymmetry and generalized Spin(7) structures, JHEP 04 (2006) 027 [hep-th/0511047] [INSPIRE].
A. Passias and D. Prins, On supersymmetric AdS3 solutions of type II, JHEP 08 (2021) 168 [arXiv:2011.00008] [INSPIRE].
A. Passias and D. Prins, On AdS3 solutions of type IIB, JHEP 05 (2020) 048 [arXiv:1910.06326] [INSPIRE].
N.J. Hitchin, Stable forms and special metrics, math.DG/0107101 [INSPIRE].
S. Chiossi and S. Salamon, The intrinsic torsion of SU(3) and G2 structures, in International conference on differential geometry held in honor of the 60th birthday of A.M. Naveira, (2002) [math.DG/0202282] [INSPIRE].
S. Gurrieri, J. Louis, A. Micu and D. Waldram, Mirror symmetry in generalized Calabi-Yau compactifications, Nucl. Phys. B 654 (2003) 61 [hep-th/0211102] [INSPIRE].
A. Tomasiello, Topological mirror symmetry with fluxes, JHEP 06 (2005) 067 [hep-th/0502148] [INSPIRE].
G. Dall’Agata and N. Prezas, N = 1 geometries for M-theory and type IIA strings with fluxes, Phys. Rev. D 69 (2004) 066004 [hep-th/0311146] [INSPIRE].
A. Gray and L.M. Hervella, The sixteen classes of almost hermitian manifolds and their linear invariants, Ann. Matem. Pura Appl. 123 (1980) 35.
M. Graña, Flux compactifications in string theory: a comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [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].
L. Foscolo and M. Haskins, New G2 holonomy cones and exotic nearly Kähler structures on the 6-sphere and the product of a pair of 3-spheres, Annals Math. 185 (2017) 59 [arXiv:1501.07838] [INSPIRE].
N.J. Hitchin, Kählerian twistor spaces, Proc. Lond. Math. Soc. s3-43 (1981) 133.
C. Boyer and K. Galicki, Sasakian geometry, Oxford Univ. Press, Oxford, U.K. (2008).
J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, AdS spacetimes from wrapped M5 branes, JHEP 11 (2006) 053 [hep-th/0605146] [INSPIRE].
A. Tomasiello, New string vacua from twistor spaces, Phys. Rev. D 78 (2008) 046007 [arXiv:0712.1396] [INSPIRE].
A. Passias, D. Prins and A. Tomasiello, A massive class of N = 2 AdS4 IIA solutions, JHEP 10 (2018) 071 [arXiv:1805.03661] [INSPIRE].
A. Legramandi and C. Núñez, Holographic description of SCFT5 compactifications, JHEP 02 (2022) 010 [arXiv:2109.11554] [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].
A. Tomasiello, Generalized structures of ten-dimensional supersymmetric solutions, JHEP 03 (2012) 073 [arXiv:1109.2603] [INSPIRE].
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Macpherson, N.T., Tomasiello, A. \( \mathcal{N} \) = (1, 1) supersymmetric AdS3 in 10 dimensions. J. High Energ. Phys. 2022, 112 (2022). https://doi.org/10.1007/JHEP03(2022)112
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DOI: https://doi.org/10.1007/JHEP03(2022)112