Noncommutative fermions and Morita equivalence
High Energy Physics - Theory
2015-06-26 v3
Abstract
We study the Morita equivalence for fermion theories on noncommutative two-tori. For rational values of the parameter (in appropriate units) we show the equivalence between an abelian noncommutative fermion theory and a nonabelian theory of twisted fermions on ordinary space. We study the chiral anomaly and compute the determinant of the Dirac operator in the dual theories showing that the Morita equivalence also holds at this level.
Keywords
Cite
@article{arxiv.hep-th/0111054,
title = {Noncommutative fermions and Morita equivalence},
author = {D. H. Correa and E. F. Moreno},
journal= {arXiv preprint arXiv:hep-th/0111054},
year = {2015}
}
Comments
12 pages, LaTex file, no figures. Minor corrections, version to appear in Phys. Lett. B