Tduality of singular spacetime compactifications in an Hflux
Abstract
We begin by presenting a symmetric version of the circle equivariant Tduality result in a joint work of the second author with Siye Wu, thereby generalizing the results there. We then initiate the study of twisted equivariant Courant algebroids and equivariant generalized geometry and apply it to our context. As before, Tduality exchanges type IIA and type IIB string theories. In our theory, both spacetime and the Tdual spacetime can be singular spaces when the fixed point set is nonempty; the singularities correspond to KaluzaKlein monopoles. We propose that the RamondRamond charges of type II string theories on the singular spaces are classified by twisted equivariant cohomology groups, consistent with the previous work of Mathai and Wu, and prove that they are naturally isomorphic. We also establish the corresponding isomorphism of twisted equivariant Courant algebroids.
 Publication:

Journal of Geometry and Physics
 Pub Date:
 July 2018
 DOI:
 10.1016/j.geomphys.2018.03.017
 arXiv:
 arXiv:1710.09927
 Bibcode:
 2018JGP...129..269L
 Keywords:

 Singular compactifications;
 Equivariant Generalized Geometry;
 Equivariant exact Courant algebroids;
 Twisted equivariant de Rham complex;
 Equivariant Tduality;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Differential Geometry
 EPrint:
 13 pages. Free access in 2018