Towards Deformed Chiral Algebras

TL;DR

This paper introduces a novel algebraic framework called deformed chiral algebra, inspired by deformed W-algebras, to better understand the structure of deformed Virasoro algebra.

Contribution

It proposes the concept of deformed chiral algebra, providing a new mathematical tool for analyzing deformed algebraic structures in conformal field theory.

Findings

New algebraic structure called deformed chiral algebra introduced.

Provides insights into the structure of deformed Virasoro algebra.

Lays groundwork for further exploration of deformed W-algebras.

Abstract

We describe a new algebraic structure of "deformed chiral algebra" motivated by the study of the deformed W-algebras. We use it to gain some insights into the deformed Virasoro algebra.