Super Yang-Mills on the Noncomutative Torus

Details Super Yang-Mills on the Noncomutative Torus Super Yang-Mills on the Noncomutative Torus

1998-07-28

arxiv.org/abs/hep-th/9807198v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX, to appear in the Arnowitt Festschrift Volume ``Relativity, Particle Physics, and Cosmology'', Texas A&M Unive

Scientific paper

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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