Equivalence of Two Approaches to Yang-Mills on Non-commutative Torus
Operator Algebras
2013-04-30 v1 Mathematical Physics
math.MP
Abstract
There are two notions of Yang-Mills action functional in noncommutative geometry. We show that for noncommutative n-torus both these notions agree. We also prove a structure theorem on the Hermitian structure of a finitely generated projective modules over spectrally invariant subalgebras of -algebras.
Keywords
Cite
@article{arxiv.1304.7616,
title = {Equivalence of Two Approaches to Yang-Mills on Non-commutative Torus},
author = {Partha Sarathi Chakraborty and Satyajit Guin},
journal= {arXiv preprint arXiv:1304.7616},
year = {2013}
}