Bouwknegt, Pier (Peter)Evslin, JarahMathai, Varghese2009-10-272010-12-202009-10-272010-12-20Physical Review Letters 92.18 (2004): 181601/1-40031-90071079-7114http://hdl.handle.net/10440/974http://digitalcollections.anu.edu.au/handle/10440/974We present a general formula for the topology and H-flux of the T-dual of a type II compactification. Our results apply to T-dualities with respect to any free circle action. In particular, we find that the manifolds on each side of the duality are circle bundles whose curvatures are given by the integral of the dual H-flux over the dual circle. As a corollary we conjecture an obstruction to multiple T-dualities, generalizing the obstruction known to exist on the twisted torus. Examples include SU(2) Wess-Zumino-Witten models, lens spaces, and the supersymmetric string theory on the nonspin AdS5×CP2×S1 compactification4 pageshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). © 2004 The American Physical SocietyKeywords: Fermions; Integral equations; Mathematical models; Problem solving; Topology; Cohomology; Compactification; Supersymmetric string theory; High energy physics2004-05-0610.1103/PhysRevLett.92.1816012015-12-08