English

Constant field strengths on T^{2n}

High Energy Physics - Theory 2009-10-31 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9909187,
  title  = {Constant field strengths on T^{2n}},
  author = {J. Troost},
  journal= {arXiv preprint arXiv:hep-th/9909187},
  year   = {2009}
}

Comments

20 pages, typos corrected and footnote added, NPB version

R2 v1 2026-07-22T16:17:28.465Z