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arxiv: hep-th/0608150 · v1 · submitted 2006-08-21 · ✦ hep-th · math.SG

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

Dmitry Roytenberg
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classification ✦ hep-th math.SG
keywords formalismcouranttopologicalactionakszaksz-bvalexandrov-kontsevich-schwarz-algebroid
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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.

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  1. Q-Manifolds and Sigma Models

    math-ph 2026-04 unverdicted novelty 2.0

    The paper summarizes BV formalism using Q- and QP-manifolds and constructs BV action functionals from the geometry of Lie algebroids and Courant algebroids.