Deformed fields and Moyal construction of deformed super Virasoro algebra

TL;DR

This paper explores a deformation of the super Virasoro algebra using Moyal construction, connecting it to noncommutative string theory and expressing generators through free fields.

Contribution

It introduces a novel deformation framework for super Virasoro algebra, linking abstract realizations to deformed field representations and noncommutative string theory.

Findings

Connections between deformed Virasoro generators and noncommutative string theory

Representation of generators via free fields

Extension of algebraic structures in deformed conformal field theories

Abstract

Studied is the deformation of super Virasoro algebra proposed by Belov and Chaltikhian. Starting from abstract realizations in terms of the FFZ type generators, various connections of them to other realizations are shown, especially to deformed field representations, whose bosonic part generator is recently reported as a deformed string theory on a noncommutative world-sheet. The deformed Virasoro generators can also be expressed in terms of ordinary free fields in a highly nontrivial way.