Topological membranes with 3-form \(H\) flux on generalized geometries. (English) Zbl 1151.81035

Summary: 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 \(G_{2}\) structure and a generalized Spin(7) structure. These models are constructed from the AKSZ formulation of the Batalin-Vilkovisky formalism.


81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
22E70 Applications of Lie groups to the sciences; explicit representations
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