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Topological T-duality via Lie algebroids and $Q$-flux in Poisson-generalized geometry
- Source :
- Int.J.Mod.Phys. A30 (2015) 30, 1550182
- Publication Year :
- 2015
-
Abstract
- It is known that the topological T-duality exchanges $H$ and $F$-fluxes. In this paper, we reformulate the topological T-duality as an exchange of two Lie algebroids in the generalized tangent bundle. Then, we apply the same formulation to the Poisson-generalized geometry, which is introduced in arXiv:1408.2649 to define $R$-fluxes as field strength associated with $\beta$-transformations. We propose a definition of $Q$-flux associated with $\beta$-diffeomorphisms, and show that the topological T-duality exchanges $R$ and $Q$-fluxes.<br />Comment: 30 pages
Details
- Database :
- arXiv
- Journal :
- Int.J.Mod.Phys. A30 (2015) 30, 1550182
- Publication Type :
- Report
- Accession number :
- edsarx.1503.05720
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1142/S0217751X15501821