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

TL;DR

This paper employs the AKSZ formalism to construct the BV master action for Rozansky-Witten theory, extending it to complex manifolds with closed (2,0)-forms and to Calabi-Yau 3-folds, broadening its geometric scope.

Contribution

It introduces a systematic AKSZ-based construction of the Rozansky-Witten model for new classes of complex manifolds and develops a holomorphic version over Calabi-Yau 3-folds.

Findings

Constructed BV master action for Rozansky-Witten model using AKSZ formalism.

Extended Rozansky-Witten theory to complex manifolds with closed (2,0)-forms.

Developed a holomorphic version over Calabi-Yau 3-folds.

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.