T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group TeX Export

@misc{citeulike:466583, abstract = {We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a "classical" T-dual, i.e., a dual bundle with dual H-flux, and when the T-dual must be "non-classical," that is, a continuous field of noncommutative tori. <br />The duality comes with an isomorphism of twisted \$K\$-theories, required for matching of D-brane charges, just as in the classical case. The isomorphism of twisted cohomology which one gets in the classical case is replaced in the non-classical case by an isomorphism of twisted cyclic homology. <br />An important part of the paper contains a detailed analysis of the classifying space for topological T-duality, as well as the T-duality group and its action. The issue of possible non-uniqueness of T-duals can be studied via the action of the T-duality group.}, archivePrefix = {arXiv}, author = {Mathai, Varghese and Rosenberg, Jonathan}, citeulike-article-id = {466583}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0508084}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0508084}, day = {11}, eprint = {hep-th/0508084}, keywords = {h-flux, ncg, t-duality}, month = {Aug}, posted-at = {2006-01-17 02:11:00}, priority = {2}, title = {T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group}, url = {http://arxiv.org/abs/hep-th/0508084}, year = {2005} }

TY - ELEC ID - citeulike:466583 L3 - citeulike-article-id:466583 N2 - We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a "classical" T-dual, i.e., a dual bundle with dual H-flux, and when the T-dual must be "non-classical," that is, a continuous field of noncommutative tori. <br />The duality comes with an isomorphism of twisted $K$-theories, required for matching of D-brane charges, just as in the classical case. The isomorphism of twisted cohomology which one gets in the classical case is replaced in the non-classical case by an isomorphism of twisted cyclic homology. <br />An important part of the paper contains a detailed analysis of the classifying space for topological T-duality, as well as the T-duality group and its action. The issue of possible non-uniqueness of T-duals can be studied via the action of the T-duality group. TI - T-duality for torus bundles with H-fluxes via noncommutative topology, II: the high-dimensional case and the T-duality group KW - h-flux KW - ncg KW - t-duality AU - Mathai, Varghese AU - Rosenberg, Jonathan PY - 2005/Aug/11/ UR - http://arxiv.org/abs/hep-th/0508084 ER -