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Symmetries of holographic minimal models
Open accessAbstract
It was recently proposed that a large N limit of a family of minimal model CFTs is dual to a certain higher spin gravity theory in AdS3, where the ’t Hooft coupling constant of the CFT is related to a deformation parameter of the higher spin algebra. We identify the asymptotic symmetry algebra of the higher spin theory for generic ’t Hooft parameter, and show that it coincides with a family of $ \mathcal{W} $-algebras previously discovered in the context of the KP hierarchy. We furthermore demonstrate that this family of $ \mathcal{W} $-algebras controls the representation theory of the minimal model CFTs in the ’t Hooft limit. This provides a non-trivial consistency check of the proposal and explains part of the underlying mechanism.
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Cites
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Cited by
How higher-spin gravity surpasses the spin-two barrier
Bekaert, X., Boulanger, N., & Sundell, P. A. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.987 · Cited by 289
Metadata
- Authors
- Gaberdiel, M. R., & Hartman, T.
- Venue
- Journal of High Energy Physics
- Published
- 2011-05
- Volume
- 2011
- Issue
- 5
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2014168172
- Cited by
- 260
- References
- 40
- FWCI
- 22.71
- Type
- journal article
- Language
- en
- Open access
- green
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