Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255558 | Journal of Geometry and Physics | 2018 | 10 Pages |
Abstract
We begin by presenting a symmetric version of the circle equivariant T-duality 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, T-duality exchanges type IIA and type IIB string theories. In our theory, both spacetime and the T-dual spacetime can be singular spaces when the fixed point set is non-empty; the singularities correspond to Kaluza-Klein monopoles. We propose that the Ramond-Ramond charges of type IIÂ 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andrew Linshaw, Varghese Mathai,