Abstract
The class of 2d minimal model CFTs with higher spin AdS3 duals is extended to theories with large N=4 superconformal symmetry. We construct a higher spin theory based on the global D(2,1|alpha) superalgebra, and propose a large N family of cosets as a dual CFT description. We also indicate how a non-abelian version of this Vasiliev higher spin theory might give an alternative description of IIB string theory on an AdS3 x S3 x S3 x S1 background.
Highlights
Introduction and SummaryOur understanding of string theory provides the clearest rationale behind the existence of gauge-gravity dualities
In the large N ’t Hooft limit we interpreted these in the bulk as multi-particle states built from the scalars corresponding to the representations φ±
This multiplet has a descendant state with h = h = 1 which corresponds to a marginal operator that preserves the large N = 4 SUSY
Summary
Our understanding of string theory provides the clearest rationale behind the existence of gauge-gravity (or more generally, gauge-string) dualities. The AdS bulk description is not in terms of string theory (or supergravity), but rather in terms of a Vasiliev system of equations [8] for a tower of massless higher spin gauge fields, having far fewer degrees of freedom than a string theory. This is reflected in the third feature that the CFT has only vector like physical degrees of freedom — any gauge or adjoint degrees of freedom are non-propagating.
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