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arXiv · 1212.4421

Singleton deformation of higher-spin theory and the phase structure of the three-dimensional O(N) vector model

Robert G. Leigh·Anastasios C. Petkou
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Abstract

We consider a singleton deformation of the AdS4 higher-spin theory dual to the three-dimensional O(N) vector model. The singleton couples to the higher-spin multiplet only through a marginal boundary interaction. We argue that the effect of such a deformation is to shift N to N+1 in both sides of the holographic correspondance and we show how the gap equations of the three-dimensional O(N) vector model arise from the higher-spin theory. The singleton deformation breaks higher-spin symmetry and gives rise to the well-known 1/N anomalous dimensions of the boundary theory.

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Robert G. Leigh, Anastasios C. Petkou. 2014-12-05. Singleton deformation of higher-spin theory and the phase structure of the three-dimensional O(N) vector model. https://doi.org/10.1103/physrevd.88.046006

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