R(p,q)-deformed conformal Virasoro algebra

TL;DR

This paper introduces an R(p,q)-deformed conformal Virasoro algebra, explores its special cases and properties, derives related equations like the R(p,q)-KdV, and computes the deformed energy-momentum tensor.

Contribution

It presents a new R(p,q)-deformation framework for the conformal Virasoro algebra, including derivations of related equations and tensor analysis.

Findings

Special case of Delta=1 exhibits unique properties

Derived the R(p,q)-KdV equation associated with the algebra

Computed the (p,q)-deformed energy-momentum tensor

Abstract

This paper addresses an R(p,q)-deformed conformal Virasoro algebra with an arbitrary conformal dimension Delta. Wellknown deformations constructed in the literature are deduced as particular cases. Then, the special case of the conformal dimension Delta=1 is elucidated for its interesting properties. The R(p,q)-KdV equation, associated with the deformed Virasoro algebra, is also derived and discussed. Finally, the (p,q)-deformed energy-momentum tensor, consistent with the central extension term, is computed and analyzed.