(p,q)-deformed Virasoro-Witt n-algebra

TL;DR

This paper introduces a (p,q)-deformation of the Virasoro-Witt n-algebra using oscillator realization, exploring its structure and identifying an n-Lie subalgebra, contributing to the mathematical physics of deformed algebras.

Contribution

It constructs a new (p,q)-deformed Virasoro-Witt n-algebra and analyzes its n-Lie subalgebra, advancing the understanding of deformations in algebraic structures.

Findings

Defined a (p,q)-deformed Virasoro-Witt n-algebra

Identified an n-Lie subalgebra within the deformed algebra

Provided insights into the structure of deformed n-ary algebras

Abstract

n-ary algebras have played important roles in mathematics and mathematical physics. The purpose of this paper is to construct a deformation of Virasoro-Witt n-algebra based on an oscillator realization with two independent parameters (p, q) and investigate its n-Lie subalgebra.