Constant field strengths on T^{2n}

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, typos corrected and footnote added, NPB version

Scientific paper

10.1016/S0550-3213(99)00721-X

We analyse field strength configurations in U(N) Yang-Mills theory on T^{2n} that are diagonal and constant, extending early work of Van Baal on T^4. The spectrum of fluctuations is determined and the eigenfunctions are given explicitly in terms of theta functions on tori. We show the relevance of the analysis to higher dimensional D-branes and discuss applications of the results in string theory.

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