d = 3 bosonic vector models coupled to Chern-Simons gauge theories
By O. Aharony, Guy Gur-Ari, Ran Yacoby. 2011
372 citations recorded by the source corpus.
A bstractWe study three dimensional O(N)k and U(N)k Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For infinite k this is just the singlet sector of the O(N) (U(N)) vector model, which is conjectured to be dual to Vasiliev’s higher spin gravity theory on AdS4. For large k and N we obtain a parity-breaking deformation of this theory, controlled by the ’t Hooft coupling λ = 4πN/k. For infinite N we argue (and show explicitly at two-loop order) that the theories with finite λ are conformally invariant, and also have an exactly marginal (ϕ2)3 deformation. For large but finite N and small ’t Hooft coupling λ, we show that there is still a line of fixed points parameterized by the ’t Hooft coupling λ. We show that, at infinite N, the interacting non-parity-invariant theory with finite λ has the same spectrum of primary operators as the free theory, consisting of an infinite tower of conserved higher-spin currents and a scalar operator with scaling dimension Δ = 1; however, the correlation functions of these operators do depend on λ. Our results suggest that there should exist a family of higher spin gravity theories, parameterized by λ, and continuously connected to Vasiliev’s theory. For finite N the higher spin currents are not conserved.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6531f05782e599ceaed73f3ff2fab4594bd561b8
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Citations in the corpus
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