The symmetric orbifold of N=2 minimal models

TL;DR

This paper investigates the large level limit of N=2 minimal models, revealing their connection to symmetric orbifold theories and analyzing higher spin representations to understand potential string backgrounds in AdS_3.

Contribution

It demonstrates that the large level limit of N=2 minimal models forms a natural subsector of a symmetric orbifold, providing detailed analysis of twisted sectors and higher spin structures.

Findings

Large level limit corresponds to a symmetric orbifold subsector

Detailed decomposition in untwisted and twisted sectors

Insights into higher spin representations and string backgrounds

Abstract

The large level limit of the N=2 minimal models that appear in the duality with the N=2 supersymmetric higher spin theory on AdS_3 is shown to be a natural subsector of a certain symmetric orbifold theory. We study the relevant decompositions in both the untwisted and the twisted sector, and analyse the structure of the higher spin representations in the twisted sector in some detail. These results should help to identify the string background of which the higher spin theory is expected to describe the leading Regge trajectory in the tensionless limit.