Baxter Q-operators for integrable DST chain

TL;DR

This paper constructs Baxter Q-operators for the integrable DST chain using monodromy traces of M-operators, establishing functional relations and intertwining relations between them.

Contribution

It introduces a novel method to build Baxter Q-operators for the DST chain via monodromy traces, deriving key functional and intertwining relations.

Findings

Constructed two basic M-operators for the DST chain

Derived functional relations including intertwining and Wronskian-type relations

Established a framework for Baxter Q-operators in this integrable model

Abstract

Following the procedure, described in the paper nlin.SI/0003002, for the integrable DST chain we construct Baxter Q-operators as the traces of monodromy of some M-operators, that act in quantum and auxiliary spaces. Within this procedure we obtain two basic M-operators and derive some functional relations between them such as intertwining relations and wronskian-type relations between two basic Q-operators.