Morita Duality and Noncommutative Wilson Loops in Two Dimensions
High Energy Physics - Theory
2009-11-11 v2
Abstract
We describe a combinatorial approach to the analysis of the shape and orientation dependence of Wilson loop observables on two-dimensional noncommutative tori. Morita equivalence is used to map the computation of loop correlators onto the combinatorics of non-planar graphs. Several nonperturbative examples of symmetry breaking under area-preserving diffeomorphisms are thereby presented. Analytic expressions for correlators of Wilson loops with infinite winding number are also derived and shown to agree with results from ordinary Yang-Mills theory.
Keywords
Cite
@article{arxiv.hep-th/0506016,
title = {Morita Duality and Noncommutative Wilson Loops in Two Dimensions},
author = {Michele Cirafici and Luca Griguolo and Domenico Seminara and Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/0506016},
year = {2009}
}
Comments
32 pages, 9 figures; v2: clarifying comments added; Final version to be published in JHEP