English

Some C*-algebras associated to quantum gauge theories

High Energy Physics - Theory 2010-11-02 v2 Operator Algebras

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.

Keywords

Cite

@article{arxiv.1008.0496,
  title  = {Some C*-algebras associated to quantum gauge theories},
  author = {Keith C. Hannabuss},
  journal= {arXiv preprint arXiv:1008.0496},
  year   = {2010}
}

Comments

14 pages; the basis of a talk given at the Careyfest in Bonn, 24 June 2010. Version 2 includes more references and some additional discussion of Clifford algebras, Rieffel inducing, and the background to Carey's Theorem