Higher spin AdS_3 holography with extended supersymmetry

Understand

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.