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Super Chern-Simons theory: Batalin-Vilkovisky formalism and A∞ algebras

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Abstract

This is a companion paper of a long work appeared in [C. Cremonini and P. Grassi, Pictures from super Chern-Simons theory, J. High Energy Phys. 03 (2020) 043JHEPFG1029-847910.1007/JHEP03(2020)043] discussing the super-Chern-Simons theory on supermanifolds. Here, it is emphasized that the Batalin-Vilkovisky formalism is naturally formulated using integral forms for any supersymmetric and supergravity models and we show how to deal with A∞ algebras emerging from supermanifold structures.

Original languageEnglish
Article number025009
JournalPhysical Review D
Volume102
Issue number2
DOIs
Publication statusPublished - 15 Jul 2020

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