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arXiv · 1302.4420

A semi-local holographic minimal model

Chi-Ming Chang·Xi Yin
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Abstract

We present a conjecture on the complete spectrum of single-trace operators in the infinite N limit of W(N) minimal model and evidences for the conjecture. We further propose that the holographic dual of W(N) minimal model in the 't Hooft limit is an unusual "semi-local" higher spin gauge theory on AdS3 x S^1. At each point on the S^1 lives a copy of three-dimensional Vasiliev theory, that contains an infinite tower of higher spin gauge fields coupled to a single massive complex scalar propagating in AdS3. The Vasiliev theories at different points on the S^1 are correlated only through the AdS3 boundary conditions on the massive scalars. All but one single tower of higher spin symmetries are broken by the boundary conditions.

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Chi-Ming Chang, Xi Yin. 2013-02-18. A semi-local holographic minimal model. https://doi.org/10.1103/physrevd.88.106002

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