Superconformal Field Theory and SUSY N=1 KdV Hierarchy II: The Q-operator

TL;DR

This paper introduces algebraic structures of superconformal field theory, constructs Q-operators analogous to Baxter's, and derives fusion relations for transfer-matrices, advancing understanding of integrable structures in SCFT.

Contribution

It constructs SCFT counterparts of Baxter's Q-operator and derives fusion-like relations, providing new tools for analyzing integrable structures in superconformal field theory.

Findings

Construction of SCFT Q-operators

Derivation of fusion-like relations

Identification of truncation properties

Abstract

The algebraic structures related with integrable structure of superconformal field theory (SCFT) are introduced. The SCFT counterparts of Baxter's Q-operator are constructed. The fusion-like relations for the transfer-matrices in different representations and their truncations are obtained.