Abstract
We classify AdS3 solutions preserving \( \mathcal{N} \) = (8, 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS3×S6 solution of [1] and the embeddings of AdS3 into AdS4×S7, AdS5×S5, AdS7/ℤk×S4 and its IIA reduction within AdS7. More interestingly we find solutions preserving the superconformal algebras \( {\mathfrak{f}}_4,\mathfrak{su}\left(1,1|4\right),\mathfrak{osp}\left({4}^{\ast }|4\right) \) on certain squashings of the 7-sphere. These solutions asymptote to AdS4×S7 and are promising candidates for holographic duals to defects in Chern-Simons matter theories.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
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].
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 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
J. de Boer, A. Pasquinucci and K. Skenderis, AdS/CFT dualities involving large 2-D N = 4 superconformal symmetry, Adv. Theor. Math. Phys. 3 (1999) 577 [hep-th/9904073] [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].
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].
N. Kim, AdS3 solutions of IIB supergravity from D3-branes, JHEP 01 (2006) 094 [hep-th/0511029] [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].
P. Figueras, O.A.P. Mac Conamhna and E. Ó Colgáin, Global geometry of the supersymmetric AdS3/CFT2 correspondence in M-theory, Phys. Rev. D 76 (2007) 046007 [hep-th/0703275] [INSPIRE].
A. Donos, J.P. Gauntlett and J. Sparks, AdS3 × (S3 × S3 × S1) Solutions of Type IIB String Theory, Class. Quant. Grav. 26 (2009) 065009 [arXiv:0810.1379] [INSPIRE].
E. Ó Colgáin, J.-B. Wu and H. Yavartanoo, Supersymmetric AdS3 × S2 M-theory geometries with fluxes, JHEP 08 (2010) 114 [arXiv:1005.4527] [INSPIRE].
J. Jeong, E. Ó Colgáin and K. Yoshida, SUSY properties of warped AdS3, JHEP 06 (2014) 036 [arXiv:1402.3807] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and E.O. Colgáin, New AdS3 × S2 T-duals with \( \mathcal{N} \) = (0, 4) supersymmetry, JHEP 08 (2015) 121 [arXiv:1507.02659] [INSPIRE].
O. Kelekci, Y. Lozano, J. Montero, E.O. Colgáin and M. Park, Large superconformal near-horizons from M-theory, Phys. Rev. D 93 (2016) 086010 [arXiv:1602.02802] [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].
C. Couzens, D. Martelli and S. Schäfer-Nameki, F-theory and AdS3/CFT2 (2, 0), JHEP 06 (2018) 008 [arXiv:1712.07631] [INSPIRE].
L. Eberhardt, Supersymmetric AdS3 supergravity backgrounds and holography, JHEP 02 (2018) 087 [arXiv:1710.09826] [INSPIRE].
G. Dibitetto and N. Petri, Surface defects in the D4 − D8 brane system, JHEP 01 (2019) 193 [arXiv:1807.07768] [INSPIRE].
A. Legramandi and N.T. Macpherson, AdS3 solutions with from \( \mathcal{N} \) = (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 \( \mathcal{N} \) = (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].
C. Couzens, H. het Lam and K. Mayer, Twisted \( \mathcal{N} \) = 1 SCFTs and their AdS3 duals, JHEP 03 (2020) 032 [arXiv:1912.07605] [INSPIRE].
C. Couzens, \( \mathcal{N} \) = (0, 2) AdS3 solutions of type IIB and F-theory with generic fluxes, JHEP 04 (2021) 038 [arXiv:1911.04439] [INSPIRE].
A. Passias and D. Prins, On AdS3 solutions of Type IIB, JHEP 05 (2020) 048 [arXiv:1910.06326] [INSPIRE].
K. Filippas, Non-integrability on AdS3 supergravity backgrounds, JHEP 02 (2020) 027 [arXiv:1910.12981] [INSPIRE].
S. Speziali, Spin 2 fluctuations in 1/4 BPS AdS3/CFT2, JHEP 03 (2020) 079 [arXiv:1910.14390] [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. Farakos, G. Tringas and T. Van Riet, No-scale and scale-separated flux vacua from IIA on G2 orientifolds, Eur. Phys. J. C 80 (2020) 659 [arXiv:2005.05246] [INSPIRE].
C. Couzens, H. het Lam, K. Mayer and S. Vandoren, Anomalies of (0,4) SCFTs from F-theory, JHEP 08 (2020) 060 [arXiv:2006.07380] [INSPIRE].
K.S. Rigatos, Non-integrability in AdS3 vacua, JHEP 02 (2021) 032 [arXiv:2011.08224] [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, Searching for surface defect CFTs within AdS3, JHEP 11 (2020) 052 [arXiv:2007.16167] [INSPIRE].
G. Dibitetto and N. Petri, AdS3 from M-branes at conical singularities, JHEP 01 (2021) 129 [arXiv:2010.12323] [INSPIRE].
K. Filippas, Holography for 2D \( \mathcal{N} \) = (0, 4) quantum field theory, Phys. Rev. D 103 (2021) 086003 [arXiv:2008.00314] [INSPIRE].
A. Passias and D. Prins, On supersymmetric AdS3 solutions of Type II, arXiv:2011.00008 [INSPIRE].
F. Faedo, Y. Lozano and N. Petri, New \( \mathcal{N} \) = (0, 4) AdS3 near-horizons in Type IIB, JHEP 04 (2021) 028 [arXiv:2012.07148] [INSPIRE].
C. Eloy, Kaluza-Klein spectrometry for AdS3 vacua, arXiv:2011.11658 [INSPIRE].
N.S. Deger, C. Eloy and H. Samtleben, \( \mathcal{N} \) = (8, 0) AdS vacua of three-dimensional supergravity, JHEP 10 (2019) 145 [arXiv:1907.12764] [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].
A. Passias, A note on supersymmetric AdS6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [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].
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].
F. Apruzzi, M. Fazzi, A. Passias, D. Rosa and A. Tomasiello, AdS6 solutions of type-II supergravity, JHEP 11 (2014) 099 [Erratum ibid. 05 (2015) 012] [arXiv:1406.0852] [INSPIRE].
H. Kim, N. Kim and M. Suh, Supersymmetric AdS6 Solutions of Type IIB Supergravity, Eur. Phys. J. C 75 (2015) 484 [arXiv:1506.05480] [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].
A. Legramandi and C. Núñez, Electrostatic Description of Five-dimensional SCFTs, arXiv:2104.11240 [INSPIRE].
B.E.W. Nilsson and C.N. Pope, Hopf Fibration of Eleven-dimensional Supergravity, Class. Quant. Grav. 1 (1984) 499 [INSPIRE].
L. Wulff, All symmetric AdSn>2 solutions of type-II supergravity, J. Phys. A 50 (2017) 495402 [arXiv:1706.02118] [INSPIRE].
M.A. Awada, M.J. Duff and C.N. Pope, N = 8 Supergravity Breaks Down to N = 1, Phys. Rev. Lett. 50 (1983) 294 [INSPIRE].
M.J. Duff, B.E.W. Nilsson and C.N. Pope, Kaluza-Klein Supergravity, Phys. Rept. 130 (1986) 1 [INSPIRE].
A. Tomasiello, Generalized structures of ten-dimensional supersymmetric solutions, JHEP 03 (2012) 073 [arXiv:1109.2603] [INSPIRE].
F. Witt, Generalised G2 manifolds, Commun. Math. Phys. 265 (2006) 275 [math/0411642] [INSPIRE].
D. Corbino, Warped AdS2 and SU(1, 1|4) symmetry in Type IIB, arXiv:2004.12613 [INSPIRE].
N.T. Macpherson, J. Montero and D. Prins, Mink 3 × S3 solutions of type-II supergravity, Nucl. Phys. B 933 (2018) 185 [arXiv:1712.00851] [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].
J.P. Gauntlett and S. Pakis, The Geometry of D = 11 Killing spinors, JHEP 04 (2003) 039 [hep-th/0212008] [INSPIRE].
J.P. Gauntlett, J.B. Gutowski and S. Pakis, The Geometry of D = 11 null Killing spinors, JHEP 12 (2003) 049 [hep-th/0311112] [INSPIRE].
J. Hong, N.T. Macpherson and L.A. Pando Zayas, Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges, JHEP 11 (2019) 127 [arXiv:1908.08518] [INSPIRE].
A. Tomasiello, Geometry of string theory compactifications, to appear.
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: 2012.10507
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., Lo Monaco, G. & Macpherson, N.T. All \( \mathcal{N} \) = (8, 0) AdS3 solutions in 10 and 11 dimensions. J. High Energ. Phys. 2021, 263 (2021). https://doi.org/10.1007/JHEP05(2021)263
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2021)263