English

On mysteriously missing T-duals, H-flux and the T-duality group

High Energy Physics - Theory 2020-08-25 v2

Abstract

A general formula for the topology and H-flux of the T-duals of type II string theories with H-flux on toroidal compactifications is presented here. It is known that toroidal compactifications with H-flux do not necessarily have T-duals which are themselves toroidal compactifications. A big puzzle has been to explain these mysterious ``missing T-duals'', and our paper presents a solution to this problem using noncommutative topology. We also analyze the T-duality group and its action, and illustrate these concepts with examples.

Keywords

Cite

@article{arxiv.hep-th/0409073,
  title  = {On mysteriously missing T-duals, H-flux and the T-duality group},
  author = {Varghese Mathai and Jonathan Rosenberg},
  journal= {arXiv preprint arXiv:hep-th/0409073},
  year   = {2020}
}

Comments

4 pages, latex2e, Mistake in formula corrected, ref. added