Conformal Properties of Primary Fields in a q-Deformed Theory

TL;DR

This paper explores the properties of primary fields within a q-deformed conformal field theory, deriving q-analog Ward identities and solutions for two-point functions to understand their conformal structure.

Contribution

It introduces a q-operator product expansion and derives the q-analog of conformal Ward identities for primary fields.

Findings

Derived q-analog of conformal Ward identities

Obtained solutions for two-point correlation functions

Extended conformal field theory concepts to q-deformed setting

Abstract

We examine some of the standard features of primary fields in the framework of a $q$-deformed conformal field theory. By introducing a $q$-OPE between the energy momentum tensor and a primary field, we derive the $q$-analog of the conformal Ward identities for correlation functions of primary fields. We also obtain solutions to these identities for the two-point function.