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

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

2004-09-06

arxiv.org/abs/hep-th/0409073v2

pages 350-358, in "Differential Geometry and Physics", editors Mo-Lin Ge and Weiping Zhang, Nankai Tracts in Mathematics, Volu

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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