N=1 extension of minimal model holography

TL;DR

This paper establishes a duality between a higher spin theory with N=1 spectrum and a specific conformal field theory, characterized by a unique non-diagonal modular invariant at a special 't Hooft parameter, with matching symmetries and partition functions.

Contribution

It identifies the CFT dual of the N=1 higher spin theory as a non-diagonal modular invariant at lambda=1/2, with no free parameters beyond the central charge, extending minimal model holography.

Findings

Symmetry algebras match between the higher spin theory and the CFT.

Partition functions agree, supporting the duality.

The CFT is described by a non-diagonal modular invariant at lambda=1/2.

Abstract

The CFT dual of the higher spin theory with minimal N = 1 spectrum is determined. Unlike previous examples of minimal model holography, there is no free parameter beyond the central charge, and the CFT can be described in terms of a non-diagonal modular invariant of the bosonic theory at the special value of the 't Hooft parameter lambda=1/2. As evidence in favour of the duality we show that the symmetry algebras as well as the partition functions agree between the two descriptions.