English

A Superspace Dirac Operator in NCG and the "factorization" of the Ordinary Dirac Operator

High Energy Physics - Theory 2021-12-22 v1

Abstract

We review a procedure of factorizing the Minkowski space Dirac operator over a~suitable superspace, discuss its Euclidean space version and apply the worked out formalism in the case od an almost-commutative Dirac operator. The presented framework is an attempt to reconcile non-commutative geometry and supersymmetry.

Keywords

Cite

@article{arxiv.2009.13125,
  title  = {A Superspace Dirac Operator in NCG and the "factorization" of the Ordinary Dirac Operator},
  author = {Dominik Ciurla and Leszek Hadasz and Thomas Williams},
  journal= {arXiv preprint arXiv:2009.13125},
  year   = {2021}
}

Comments

11 pages, no figures