Ikeda, Noriaki; Tokunaga, Tatsuya Topological membranes with 3-form \(H\) flux on generalized geometries. (English) Zbl 1151.81035 Adv. Theor. Math. Phys. 12, No. 6, 1259-1281 (2008). 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. Cited in 3 Documents MSC: 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid