R(p,q)-deformed conformal Virasoro algebra

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.

References in corpus (1)

• Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series

Cited by in corpus (5)

• Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models
• Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
• Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
• $\mathcal{R}(p,q)$-deformed super Virasoro $n$-algebra