New results on integrable structure of conformal field theory

TL;DR

This paper explores how local integrals of motion can be integrated into the fermionic basis of the sine-Gordon model and its UV conformal field theory, providing explicit examples and numerical support.

Contribution

It introduces a method to incorporate local integrals of motion into the fermionic basis for sine-Gordon and UV CFT, with explicit low-level examples and numerical validation.

Findings

Successful incorporation of local integrals of motion into fermionic basis

Explicit examples up to level 4 demonstrating the method

Numerical computations support the theoretical results

Abstract

We explain how to incorporate the action of local integrals of motion into the fermionic basis for the sine-Gordon model and its UV CFT. The examples up to the level 4 are presented. Numerical computation support the results. Possible applications are discussed.