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arXiv · 1406.1521

Higher spin AdS_3 holography with extended supersymmetry

Thomas Creutzig·Yasuaki Hikida·Peter B. Ronne
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Abstract

We propose a holographic duality between a higher spin AdS_3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specific critical level k=N and a non-diagonal modular invariant. As evidence, we show the match of one-loop partition functions. Moreover, we construct symmetry generators of the coset model for low spins which are dual to gauge fields in the supergravity. Further, we discuss a possible relation to superstring theory by noticing an N=3 supersymmetry of critical level model at finite k,N. In particular, we examine BPS states and marginal deformations. Inspired by the supergravity side, we also propose and test another large N CFT dual obtained as a Z_2 automorphism truncation of a similar coset model, but at a non-critical level.

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Thomas Creutzig, Yasuaki Hikida, Peter B. Ronne. 2014-10-28. Higher spin AdS_3 holography with extended supersymmetry. https://doi.org/10.1007/jhep10(2014)163

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