Mathematical structures of cohomological field theories
arXiv:2202.12425 · doi:10.1016/j.geomphys.2022.104744
Abstract
A mathematical framework of cohomological field theories (CohFTs) is formulated in the language of bigraded manifolds. Algebraic properties of operators in CohFTs are studied. Methods of constructing CohFTs, with or without gauge symmetries, are discussed. In particular, a generalization of the Mathai-Quillen formalism is given. Examples such as topological quantum mechanics, topological sigma model, topological M-theory, and topological Yang-Mills theory can be obtained uniformly using this new formalism.
arXiv comment38 pages; to appear in J. Geom. Phys
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