Some C*-algebras associated to quantum gauge theories

TL;DR

This paper explores the mathematical structure of algebras in quantum gauge theories, revealing they can be viewed as braided Clifford algebras, which offers new insights into their properties.

Contribution

It introduces a novel perspective by representing the full algebra of fermions and bosons as a braided Clifford algebra using category theory.

Findings

Algebras in gauge theories share features with T-duality.

Fermions and bosons form a braided Clifford algebra.

Provides a new algebraic framework for quantum gauge theories.

Abstract

Algebras associated with Quantum Electrodynamics and other gauge theories share some mathematical features with T-duality Exploiting this different perspective and some category theory, the full algebra of fermions and bosons can be regarded as a braided Clifford algebra over a braided commutative boson algebra, sharing much of the structure of ordinary Clifford algebras.