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𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
Open accessAbstract
We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that the U(N) × U(N) theory at level k describes the low energy limit of N M2-branes probing a C4/Zk singularity. At large N the theory is then dual to M-theory on AdS4 × S7/Zk. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS4 × CP3. For k = 1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d = 3 gauge theories. When the gauge group is SU(2) × SU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.
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Cites
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Cited by
Almheiri, A., Marolf, D., Polchinski, J., Stanford, D., & Sully, J. (2013) · Journal of High Energy Physics · doi:10.1007/jhep09(2013)018 · Cited by 425
Fujita, M., Takayanagi, T., & Tonni, E. (2011) · Journal of High Energy Physics · doi:10.1007/jhep11(2011)043 · Cited by 366
Non-Fermi liquid from a charged black hole: A critical Fermi ball
Lee, S.-S. (2009) · Physical Review D · doi:10.1103/physrevd.79.086006 · Cited by 331
Beyond toy models: distilling tensor networks in full AdS/CFT
Bao, N., Penington, G., Sorce, J., & Wall, A. C. (2019) · Journal of High Energy Physics · doi:10.1007/jhep11(2019)069 · Cited by 96
Hawking radiation from AdS black holes
Hubeny, V. E., Marolf, D., & Rangamani, M. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/9/095018 · Cited by 60
Metadata
- Authors
- Aharony, O., Bergman, O., Jafferis, D. L., & Maldacena, J.
- Venue
- Journal of High Energy Physics
- Published
- 2008-10-23
- Volume
- 2008
- Issue
- 10
- Pages
- 091-091
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2171335381
- Cited by
- 2,127
- References
- 1
- FWCI
- 98.07
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Aharony, O., Bergman, O., Jafferis, D. L., & Maldacena, J. (2008). 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/2008/10/091
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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