Varghese Mathai, Jonathan Rosenberg
Published 2004-09-06, updated 2005-08-05Version 2
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.
Comments: 4 pages, latex2e, Mistake in formula corrected, ref. added
Journal: pages 350-358, in "Differential Geometry and Physics", editors Mo-Lin Ge and Weiping Zhang, Nankai Tracts in Mathematics, Volume 10, World Scientific 2006
T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group
Closed String Partition Functions in Toroidal Compactifications of Doubled Geometries
General formula for symmetry factors of Feynman diagrams
