Between Quantum Virasoro Algebra \cal{L}_c and Generalized Clifford Algebras

TL;DR

This paper constructs the quantum Virasoro algebra within generalized Clifford algebras, revealing an embedding that links these algebraic structures and potentially broadens understanding of quantum symmetries.

Contribution

It introduces a novel embedding of the quantum Virasoro algebra into generalized Clifford algebras, expanding the algebraic framework for quantum symmetry studies.

Findings

Quantum Virasoro algebra embedded in generalized Clifford algebras

Establishment of algebraic relations between ${ m extbf{L}}_c$ and $C_{n}^{k}$

Potential applications in quantum symmetry and conformal field theory

Abstract

In this paper we construct the quantum Virasoro algebra ${\mathcal{L}}_{c}$ generators in terms of operators of the generalized Clifford algebras $C_{n}^{k}$. Precisely, we show that ${\mathcal{L}}_{c}$ can be embedded into generalized Clifford algebras.