Abstract
Employing the method applied to M5-branes recently by Bah, Bonetti, Minasian and Nardoni, we study M2-branes on a disk with non-trivial holonomies at the boundary. In four-dimensional U(1)4-gauged \( \mathcal{N} \) = 2 supergravity, we find supersymmetric AdS2 solutions from M2-branes wrapped on a topological disk in Calabi-Yau two-, three- and four-folds. We uplift the solutions to eleven-dimensional supergravity. For the solutions from topological disk in Calabi-Yau four-folds, the Bekenstein-Hawking entropy is finite and well-defined. On the other hand, from the topological disk in Calabi-Yau two- and three-folds, we could not find solutions with finite Bekenstein-Hawking entropy.
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 [hep-th/9711200] [INSPIRE].
E. Witten, Topological Quantum Field Theory, Commun. Math. Phys. 117 (1988) 353 [INSPIRE].
M. Bershadsky, A. Johansen, V. Sadov and C. Vafa, Topological reduction of 4 − D SYM to 2 − D sigma models, Nucl. Phys. B 448 (1995) 166 [hep-th/9501096] [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].
P. Ferrero, J.P. Gauntlett, J.M. Pérez Ipiña, D. Martelli and J. Sparks, D3-branes Wrapped on a Spindle, Phys. Rev. Lett. 126 (2021) 111601 [arXiv:2011.10579] [INSPIRE].
S.M. Hosseini, K. Hristov and A. Zaffaroni, Rotating multi-charge spindles and their microstates, JHEP 07 (2021) 182 [arXiv:2104.11249] [INSPIRE].
A. Boido, J.M.P. Ipiña and J. Sparks, Twisted D3-brane and M5-brane compactifications from multi-charge spindles, JHEP 07 (2021) 222 [arXiv:2104.13287] [INSPIRE].
P. Ferrero, J.P. Gauntlett, J.M.P. Ipiña, D. Martelli and J. Sparks, Accelerating black holes and spinning spindles, Phys. Rev. D 104 (2021) 046007 [arXiv:2012.08530] [INSPIRE].
D. Cassani, J.P. Gauntlett, D. Martelli and J. Sparks, Thermodynamics of accelerating and supersymmetric AdS4 black holes, Phys. Rev. D 104 (2021) 086005 [arXiv:2106.05571] [INSPIRE].
P. Ferrero, J.P. Gauntlett, D. Martelli and J. Sparks, M5-branes wrapped on a spindle, JHEP 11 (2021) 002 [arXiv:2105.13344] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS3 solutions of type IIB supergravity, Phys. Rev. Lett. 97 (2006) 171601 [hep-th/0606221] [INSPIRE].
H.K. Kunduri, J. Lucietti and H.S. Reall, Do supersymmetric anti-de Sitter black rings exist?, JHEP 02 (2007) 026 [hep-th/0611351] [INSPIRE].
J.P. Gauntlett, N. Kim and D. Waldram, Supersymmetric AdS3, AdS2 and Bubble Solutions, JHEP 04 (2007) 005 [hep-th/0612253] [INSPIRE].
H.K. Kunduri and J. Lucietti, Near-horizon geometries of supersymmetric AdS5 black holes, JHEP 12 (2007) 015 [arXiv:0708.3695] [INSPIRE].
C. Couzens, N.T. Macpherson and A. Passias, \( \mathcal{N} \) = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces, JHEP 02 (2022) 189 [arXiv:2107.13562] [INSPIRE].
I. Bah, F. Bonetti, R. Minasian and E. Nardoni, Holographic Duals of Argyres-Douglas Theories, Phys. Rev. Lett. 127 (2021) 211601 [arXiv:2105.11567] [INSPIRE].
I. Bah, F. Bonetti, R. Minasian and E. Nardoni, M5-brane sources, holography, and Argyres-Douglas theories, JHEP 11 (2021) 140 [arXiv:2106.01322] [INSPIRE].
P.C. Argyres and M.R. Douglas, New phenomena in SU(3) supersymmetric gauge theory, Nucl. Phys. B 448 (1995) 93 [hep-th/9505062] [INSPIRE].
M. Suh, D3-branes and M5-branes wrapped on a topological disc, JHEP 03 (2022) 043 [arXiv:2108.01105] [INSPIRE].
M. Suh, D4-D8-branes wrapped on a manifold with non-constant curvature, arXiv:2108.08326 [INSPIRE].
M.J. Duff and J.T. Liu, Anti-de Sitter black holes in gauged N = 8 supergravity, Nucl. Phys. B 554 (1999) 237 [hep-th/9901149] [INSPIRE].
J.P. Gauntlett, N. Kim, S. Pakis and D. Waldram, Membranes wrapped on holomorphic curves, Phys. Rev. D 65 (2002) 026003 [hep-th/0105250] [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].
E. Cremmer, B. Julia and J. Scherk, Supergravity Theory in Eleven-Dimensions, Phys. Lett. B 76 (1978) 409 [INSPIRE].
C. Couzens, K. Stemerdink and D. van de Heisteeg, M2-branes on discs and multi-charged spindles, JHEP 04 (2022) 107 [arXiv:2110.00571] [INSPIRE].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS4 black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [INSPIRE].
K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4 with spherical symmetry, JHEP 04 (2011) 047 [arXiv:1012.4314] [INSPIRE].
G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP 03 (2011) 037 [arXiv:1012.3756] [INSPIRE].
F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4 from supersymmetric localization, JHEP 05 (2016) 054 [arXiv:1511.04085] [INSPIRE].
F. Benini and A. Zaffaroni, A topologically twisted index for three-dimensional supersymmetric theories, JHEP 07 (2015) 127 [arXiv:1504.03698] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
N. Kim and J.-D. Park, Comments on AdS2 solutions of D = 11 supergravity, JHEP 09 (2006) 041 [hep-th/0607093] [INSPIRE].
O.A.P. Mac Conamhna and E. O Colgain, Supersymmetric wrapped membranes, AdS2 spaces, and bubbling geometries, JHEP 03 (2007) 115 [hep-th/0612196] [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: 2109.13278
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
Suh, M. M2-branes wrapped on a topological disk. J. High Energ. Phys. 2022, 48 (2022). https://doi.org/10.1007/JHEP09(2022)048
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2022)048