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arXiv · hep-th/0506016

Morita Duality and Noncommutative Wilson Loops in Two Dimensions

Michele Cirafici·Luca Griguolo·Domenico Seminara·Richard J. Szabo
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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.

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Michele Cirafici, Luca Griguolo, Domenico Seminara, Richard J. Szabo. 2005-10-11. Morita Duality and Noncommutative Wilson Loops in Two Dimensions. https://doi.org/10.1088/1126-6708%2F2005%2F10%2F030

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