Toward Higher Spin dS3/CFT2

Abstract

I take steps toward the construction of a CFT dual to Vasiliev's higher spin gravity in three dimensional de Sitter space. There are two main claims. The first is that higher spin de Sitter symmetries are related to extended Virasoro symmetries, as in AdS; this is verified explicitly for the case of W_3 asymptotic symmetry. The associated chiral algebra has imaginary central charge. The second (conjectural) claim, inspired by work of Gaberdiel and Gopakumar in AdS_3/CFT_2, is that an appropriate CFT can be identified as an exotic non-unitary WZW coset model at complex level.