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Equivariant Rozansky-Witten classes and TFTs
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2013 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 64, no 1, 222-242 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
BV formalism, Characteristic classes, Graded geometry, Rozansky-Witten classes, Topological field theory
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-194878DOI: 10.1016/j.geomphys.2012.10.010ISI: 000314558600017OAI: oai:DiVA.org:uu-194878DiVA: diva2:606727
Available from: 2013-02-20 Created: 2013-02-19 Last updated: 2017-12-06Bibliographically approved

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Zabzine, Maxim

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