Abstract
We propose a holographic duality between a higher spin AdS3 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 \( \mathcal{N}=3 \) 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 \( {\mathrm{\mathbb{Z}}}_2 \) automorphism truncation of a similar coset model, but at a non-critical level.
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Creutzig, T., Hikida, Y. & Rønne, P.B. Higher spin AdS3 holography with extended supersymmetry. J. High Energ. Phys. 2014, 163 (2014). https://doi.org/10.1007/JHEP10(2014)163
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DOI: https://doi.org/10.1007/JHEP10(2014)163