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.

arXiv comment12 pages

References in corpus (4)

• The Geometry of the Master Equation and Topological Quantum Field Theory
• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Chern-Simons Gauge Theory coupled with BF Theory
• Three-dimensional topological field theory and symplectic algebraic geometry I

Cited by in corpus (6)

• Equivariant Rozansky-Witten classes and TFTs
• Knot Invariants and New Weight Systems from General 3D TFTs
• Odd Chern-Simons Theory, Lie Algebra Cohomology and Characteristic Classes
• 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