On the AKSZ formulation of the Rozansky-Witten theory and beyond

Abstract

Using the AKSZ formalism, we construct the Batalin-Vilkovisky master action for the Rozansky-Witten model, which can be defined for any complex manifold with a closed (2,0)-form. We also construct the holomorphic version of Rozansky-Witten theory defined over Calabi-Yau 3-fold.

12 pages

References in corpus (1)

• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories

Cited by in corpus (3)

• Basic curvature and the Atiyah cocycle in gauge theory
• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons
• Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism