English

BPS states on noncommutative tori and duality

High Energy Physics - Theory 2015-06-26 v2

Abstract

We study gauge theories on noncommutative tori. It was proved in [5] that Morita equivalence of noncommutative tori leads to a physical equivalence (SO(d,d| Z)-duality) of the corresponding gauge theories. We calculate the energy spectrum of maximally supersymmetric BPS states in these theories and show that this spectrum agrees with the SO(d,d| Z)-duality. The relation of our results with those of recent calculations is discussed.

Cite

@article{arxiv.hep-th/9811159,
  title  = {BPS states on noncommutative tori and duality},
  author = {Anatoly Konechny and Albert Schwarz},
  journal= {arXiv preprint arXiv:hep-th/9811159},
  year   = {2015}
}

Comments

Misprints corrected, appendices added, minor changes in the main body of the paper; Latex, 32 pages

R2 v1 2026-07-22T16:13:08.654Z