Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895921 | Journal of Geometry and Physics | 2013 | 21 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Johan Källén, Jian Qiu, Maxim Zabzine,