Higher spin AdS3 supergravity and its dual CFT

By T. Creutzig, Yasuaki Hikida, P. B. Ronne. 2011

164 citations recorded by the source corpus.

A bstractVasiliev’s higher spin supergravity theory on three dimensional anti-de Sitter space is studied and, in particular, the partition function is computed at one loop level. The dual conformal field theory is proposed to be a large N limit of the $ \mathcal{N} = \left( {{2},{2}} \right) $$ \mathbb{C}{{\text{P}}^N} $ Kazama-Suzuki model in two dimensions. The proposal is based on symmetry considerations and comparison of the bulk partition function with the conformal field theory. Our findings suggest that the theory is strong-weak self-dual.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7d452cb13fa3418313947a662e0b4736a4c6e1eb

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Citations in the corpus

Large \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 4 holography (2013, unknown): “general Kazama-Suzuki models corresponding to su(N+M)(1)κ su(N)(1) κ ⊕su(M) (1) κ ⊕ u(1) , (7.1) where κ= k+ N+ M. (Indeed, the cosets with M= 1 describe the CFT duals of the N = 2 higher spin theory [25], and it seems plausible that the cosets with M>1 correspond to the non-abelian generalisatio”
Cosets of affine vertex algebras inside larger structures (2014, methodology): “mmetry algebra of the N = 2 supersymmetric Kazama-Suzuki coset theory on complex projective space [KS]. This family of coset theories is the conjectured dual to the full N= 2 higher spin supergravity [CHRII]. All these examples are important since they illustrate consistencyofthehigherspin/CFTconjec”
Triality in minimal model holography (2012, methodology): “d it would be very interesting to rederive this using perturbation theory of the higher spin theory. It would also be interesting to study the quantum W∞-algebra in the supersymmetric case, following [29, 30, 31, 32]; this is currently under investigation [25]. Acknowledgements We thank Constantin C”
Black holes in three dimensional higher spin gravity: a review (2012, background): “Furthermore versions of the conjecture which relate superconformal cosets and supersymmetric higher spin theories were put forward in [63–70].”
Minimal model holography (2012, background): “It was proposed in [42] that the above higher spin theory with μ = λ is dual to the ’t Hooft-like limit of a family of minimal N = 2 superconformal coset theories based on sWN,k = su(N + 1) k+N+1 su(N) k+N+1 ⊕ u(1) κ , (209)”
Conical defects in higher spin theories (2011, background): “For further developments on this conjecture, including generalizations in various directions, see [11, 12, 13, 14, 15, 16, 17, 18, 19, 20].”