Equivariant Rozansky-Witten classes and TFTs
2013 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 64, no 1, 222-242 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2013. Vol. 64, no 1, 222-242 p.
BV formalism, Characteristic classes, Graded geometry, Rozansky-Witten classes, Topological field theory
IdentifiersURN: urn:nbn:se:uu:diva-194878DOI: 10.1016/j.geomphys.2012.10.010ISI: 000314558600017OAI: oai:DiVA.org:uu-194878DiVA: diva2:606727