Finite Density States in Integrable Conformal Field Theories

TL;DR

This paper investigates large charge density states in integrable conformal coset models, analyzing different S-matrices and their implications for the structure and spectrum of these theories.

Contribution

It introduces new insights into the structure of large charge states in integrable conformal coset models, especially for the O(2) and supergroup cases, using different S-matrix constructions.

Findings

Simplification in the conformal limit for the Thirring mass perturbation S-matrix.

Complex description involving large zero mode sector for the O(2+epsilon) S-matrix.

Proposal of an S-matrix for the conformal O(2+2M|2M) supergroup coset.

Abstract

We study states of large charge density in integrable conformal coset models. For the O(2) coset, we consider two different S-matrices, one corresponding to a Thirring mass perturbation and the other to the continuation to O(2+epsilon). The former leads to simplification in the conformal limit; the latter gives a more complicated description of the O(2) system, with a large zero mode sector in addition to the right- and left-movers. We argue that for the conformal O(2+2M|2M) supergroup coset, the S-matrix is given by the analog of the O(2+epsilon) construction.