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Super Yang-Mills on the Noncomutative Torus

1998/07/28 by Bogdan Morariu, Bruno Zumino, Morariu, Bogdan +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9807198

22 pages, LaTeX, to appear in the Arnowitt Festschrift Volume ``Relativity, Particle Physics, and Cosmology'', Texas A&M University, April 1998, published by World Scientific; references added

arxiv created 1998/10/16 · arxiv updated 2009/11/30

Abstract

After a brief review of matrix theory compactification leading to noncommutative supersymmetric Yang-Mills gauge theory, we present solutions for the fundamental and adjoint sections on a two-dimensional twisted quantum torus in two different gauges. We also give explicit transformations connecting different representations which have appeared in the literature. Finally we discuss the more mathematical concept of Morita equivalence of C*-algebras as it applies to our specific case.

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