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

Abstract

We give a detailed exposition of the Alexandrov-Kontsevich-Schwarz- Zaboronsky superfield formalism using the language of graded manifolds. As a main illustarting example, to every Courant algebroid structure we associate canonically a three-dimensional topological sigma-model. Using the AKSZ formalism, we construct the Batalin-Vilkovisky master action for the model.

13 pages, based on lectures at Rencontres mathematiques de Glanon 2003

Cited by in corpus (3)

• Odd Scalar Curvature in Anti-Poisson Geometry
• On the AKSZ formulation of the Rozansky-Witten theory and beyond
• An Alternative Topological Field Theory of Generalized Complex Geometry