Källén, Johan; Qiu, Jian; Zabzine, Maxim Equivariant Rozansky-Witten classes and TFTs. (English) Zbl 1261.81099 J. Geom. Phys. 64, 222-242 (2013). Summary: We first construct the Rozansky-Witten model coupled to BF theory and Chern-Simons theory using the Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) method. Then we apply the machinery developed in some earlier papers about AKSZ theories and characteristic classes to these concrete models: the BF-Rozansky-Witten model and the Chern-Simons-Rozansky-Witten model. In the former case, we obtain characteristic classes on the target hyperKähler manifold equipped with a group action as a generalization of the original Rozansky-Witten classes. We also give the prescription for similar classes associated with a holomorphic symplectic manifold and demonstrate the invariance of such classes explicitly. Cited in 6 Documents MSC: 81T45 Topological field theories in quantum mechanics 54D45 Local compactness, \(\sigma\)-compactness 58J28 Eta-invariants, Chern-Simons invariants 57R20 Characteristic classes and numbers in differential topology 58A50 Supermanifolds and graded manifolds Keywords:Rozansky-Witten classes; characteristic classes; graded geometry; topological field theory; BV formalism PDFBibTeX XMLCite \textit{J. Källén} et al., J. Geom. Phys. 64, 222--242 (2013; Zbl 1261.81099) Full Text: DOI arXiv