Abstract
We consider the uplift of co-dimension two defect solutions of seven dimensional gauged supergravity to eleven dimensions, previously found by two of the authors. The uplifted solutions are expressed as Lin-Lunin-Maldacena solutions and an infinite family of regular solutions describing holographic defects is found using the electrostatic formulation of LLM solutions.
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M. Gutperle and N. Klein, A note on co-dimension 2 defects in N = 4, d = 7 gauged supergravity, Nucl. Phys. B 984 (2022) 115969 [arXiv:2203.13839] [INSPIRE].
A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [INSPIRE].
O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, Phys. Rev. D 66 (2002) 025009 [hep-th/0111135] [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
H. Lin and J.M. Maldacena, Fivebranes from gauge theory, Phys. Rev. D 74 (2006) 084014 [hep-th/0509235] [INSPIRE].
O. Lunin, On gravitational description of Wilson lines, JHEP 06 (2006) 026 [hep-th/0604133] [INSPIRE].
J. Gomis and S. Matsuura, Bubbling surface operators and S-duality, JHEP 06 (2007) 025 [arXiv:0704.1657] [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, 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 and M. Gutperle, Exact half-BPS Type IIB interface solutions. 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. I: Local Solutions, JHEP 08 (2008) 028 [arXiv:0806.0605] [INSPIRE].
E. D’Hoker, J. Estes, M. Gutperle and D. Krym, Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS7 × S4, JHEP 12 (2008) 044 [arXiv:0810.4647] [INSPIRE].
M. Cvetic et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
P. Ferrero et al., D3-Branes Wrapped on a Spindle, Phys. Rev. Lett. 126 (2021) 111601 [arXiv:2011.10579] [INSPIRE].
P. Ferrero, J.P. Gauntlett and J. Sparks, Supersymmetric spindles, JHEP 01 (2022) 102 [arXiv:2112.01543] [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].
F. Faedo and D. Martelli, D4-branes wrapped on a spindle, JHEP 02 (2022) 101 [arXiv:2111.13660] [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.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].
S. Giri, Black holes with spindles at the horizon, JHEP 06 (2022) 145 [arXiv:2112.04431] [INSPIRE].
M. Suh, D3-branes and M5-branes wrapped on a topological disc, JHEP 03 (2022) 043 [arXiv:2108.01105] [INSPIRE].
A. Belin et al., Holographic Charged Rényi Entropies, JHEP 12 (2013) 059 [arXiv:1310.4180] [INSPIRE].
T. Nishioka, The Gravity Dual of Supersymmetric Rényi Entropy, JHEP 07 (2014) 061 [arXiv:1401.6764] [INSPIRE].
S.M. Hosseini, C. Toldo and I. Yaakov, Supersymmetric Rényi entropy and charged hyperbolic black holes, JHEP 07 (2020) 131 [arXiv:1912.04868] [INSPIRE].
K. Chen, M. Gutperle and M. Vicino, Holographic Line Defects in D = 4, N = 2 Gauged Supergravity, Phys. Rev. D 102 (2020) 026025 [arXiv:2005.03046] [INSPIRE].
M. Gutperle and M. Vicino, Holographic Surface Defects in D = 5, N = 4 Gauged Supergravity, Phys. Rev. D 101 (2020) 066016 [arXiv:1911.02185] [INSPIRE].
M. Gutperle and M. Vicino, Conformal defect solutions in N = 2, D = 4 gauged supergravity, Nucl. Phys. B 942 (2019) 149 [arXiv:1811.04166] [INSPIRE].
M. Cvetic and S.S. Gubser, Phases of R charged black holes, spinning branes and strongly coupled gauge theories, JHEP 04 (1999) 024 [hep-th/9902195] [INSPIRE].
J.T. Liu and R. Minasian, Black holes and membranes in AdS7, Phys. Lett. B 457 (1999) 39 [hep-th/9903269] [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].
D. Gaiotto, N = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
R.S. Ward, Einstein-Weyl spaces and SU(infinity) Toda fields, Class. Quant. Grav. 7 (1990) L95 [INSPIRE].
A. Donos and J. Simon, The electrostatic view on M-theory LLM geometries, JHEP 01 (2011) 067 [arXiv:1010.3101] [INSPIRE].
R.A. Reid-Edwards and B. Stefanski, 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].
P.M. Petropoulos, K. Sfetsos and K. Siampos, Gravity duals of \( \mathcal{N} \) = 2 superconformal field theories with no electrostatic description, JHEP 11 (2013) 118 [arXiv:1308.6583] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].
M. Bianchi, D.Z. Freedman and K. Skenderis, Holographic renormalization, Nucl. Phys. B 631 (2002) 159 [hep-th/0112119] [INSPIRE].
J.P. Gauntlett, E. O Colgain and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP 02 (2007) 049 [hep-th/0611219] [INSPIRE].
C. Couzens, H. Kim, N. Kim and Y. Lee, Holographic duals of M5-branes on an irregularly punctured sphere, JHEP 07 (2022) 102 [arXiv:2204.13537] [INSPIRE].
E. D’Hoker et al., Half-BPS supergravity solutions and superalgebras, JHEP 12 (2008) 047 [arXiv:0810.1484] [INSPIRE].
J. Estes et al., On Holographic Defect Entropy, JHEP 05 (2014) 084 [arXiv:1403.6475] [INSPIRE].
M. Gutperle and A. Trivella, Note on entanglement entropy and regularization in holographic interface theories, Phys. Rev. D 95 (2017) 066009 [arXiv:1611.07595] [INSPIRE].
N.B. Agmon and Y. Wang, Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines, arXiv:2009.06650 [INSPIRE].
S. Gukov and E. Witten, Gauge Theory, Ramification, And The Geometric Langlands Program, hep-th/0612073 [INSPIRE].
J.M. Maldacena and C. Nunez, 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. Claus, R. Kallosh and A. Van Proeyen, M five-brane and superconformal (0, 2) tensor multiplet in six-dimensions, Nucl. Phys. B 518 (1998) 117 [hep-th/9711161] [INSPIRE].
E. Bergshoeff, E. Sezgin and A. Van Proeyen, (2, 0) tensor multiplets and conformal supergravity in D = 6, Class. Quant. Grav. 16 (1999) 3193 [hep-th/9904085] [INSPIRE].
Acknowledgments
The authors would like to thank T. Dumitrescu for useful conversations. The work of M. G. was supported, in part, by the National Science Foundation under grant PHY-2209700. The authors are grateful to the Mani L. Bhaumik Institute for Theoretical Physics for support.
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Gutperle, M., Klein, N. & Rathore, D. Holographic 6d co-dimension 2 defect solutions in M-theory. J. High Energ. Phys. 2023, 191 (2023). https://doi.org/10.1007/JHEP11(2023)191
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DOI: https://doi.org/10.1007/JHEP11(2023)191