Topological Membranes with 3-Form H Flux on Generalized Geometries

Abstract

We construct topological string and topological membrane actions with a nontrivial 3-form flux H in arbitrary dimensions. These models realize Bianchi identities with a nontrivial H flux as consistency conditions. Especially, we discuss the models with a generalized SU(3) structure, a generalized G2 structure and a generalized Spin(7) structure. These models are constructed from the AKSZ formulation of Batalin-Vilkovisky formalism.

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