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arXiv · 1503.05720

Topological T-duality via Lie algebroids and $Q$-flux in Poisson-generalized geometry

T. Asakawa·H. Muraki·S. Watamura
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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.

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T. Asakawa, H. Muraki, S. Watamura. 2015-03-19. Topological T-duality via Lie algebroids and $Q$-flux in Poisson-generalized geometry. https://doi.org/10.1142/s0217751x15501821

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