Duality in N=2 minimal model holography

Abstract

Recently a duality between a family of 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[μ], and under the duality, μ is to be identified with λ=NN+k+1. Here we elucidate the structure of the (quantum) asymptotic symmetry algebra Open image in new window for arbitrary μ and central charge c. In particular, we show that for each value of the central charge, there are generically four different values of μ that describe the same Open image in new window algebra. Among other things this proves that the quantum symmetries on both sides of the duality agree; this equivalence does not just hold in the ’t Hooft limit, but even at finite N and k.