Duality in N=2 minimal model holography

Understand

Recently a duality between a family of \mathcal{N}=2 supersymmetric higher spin theories on AdS3, and the 't Hooft like limit of a class of Kazama-Suzuki models (that are parametrised by N and k) was proposed.

• The higher spin theories can be described by a Chern-Simons theory based on the infinite-dimensional Lie algebra shs[\mu], and under the duality, \mu is to be identified with \lambda=N/(N+k+1).
• Here we elucidate the structure of the (quantum) asymptotic symmetry algebra sW_{\infty}[\mu] for arbitrary \mu and central charge c.
• In particular, we show that for each value of the central charge, there are generically four different values of \mu that describe the same sW_{\infty} algebra.