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

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.

30 pages

References in corpus (5)

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Cited by in corpus (4)

• Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds
• Gravity theory on Poisson manifold with $R$-flux
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Topological Membranes, Current Algebras and H-flux - R-flux Duality based on Courant Algebroids