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

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

2006-08-21

arxiv.org/abs/hep-th/0608150v1

Lett.Math.Phys.79:143-159,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/s11005-006-0134-y

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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