Integrability of Superconformal Field Theory and SUSY N=1 KdV

TL;DR

This paper explores the integrability of superconformal field theory through the quantum SUSY N=1 hierarchy, constructing Baxter's Q-operators and fusion relations, and discussing their relation to superconformal field theory.

Contribution

It introduces the quantum SUSY N=1 hierarchy based on a twisted affine superalgebra and constructs related Baxter's Q-operators and fusion relations, linking them to superconformal field theory.

Findings

Construction of Baxter's Q-operators for SUSY N=1 hierarchy

Derivation of fusion relations in the superalgebra context

Discussion of the connection to superconformal field theory

Abstract

The quantum SUSY N=1 hierarchy based on $sl(2|1)^{(2)}$ twisted affine superalgebra is considered. The construction of the corresponding Baxter's Q-operators and fusion relations is outlined. The relation with the superconformal field theory is discussed.