Twisted sectors from plane partitions

TL;DR

This paper identifies and confirms the structure of twisted sectors in bosonic higher spin conformal field theories and symmetric orbifolds using plane partitions and null-vector analysis.

Contribution

It introduces a novel approach to characterize twisted sector states via plane partitions and validates these with detailed spectrum matching.

Findings

Twisted sectors are described by specific coset representations.

Null-vector analysis confirms the proposed representations.

Spectrum matches orbifold predictions.

Abstract

Twisted sectors arise naturally in the bosonic higher spin CFTs at their free points, as well as in the associated symmetric orbifolds. We identify the coset representations of the twisted sector states using the description of W_\infty representations in terms of plane partitions. We confirm these proposals by a microscopic null-vector analysis, and by matching the excitation spectrum of these representations with the orbifold prediction.