• Open Access

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

C. A. Cremonini and P. A. Grassi
Phys. Rev. D 102, 025009 – Published 10 July 2020
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  • INTRODUCTION
  • SUPERFORMS, INTEGRAL FORMS, AND…
  • SUPER CHERN-SIMONS ACTIONS
  • BV ACTION
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    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) 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.

    • Received 24 February 2020
    • Accepted 18 May 2020

    DOI:https://doi.org/10.1103/PhysRevD.102.025009

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

    Published by the American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Field & string theory models & techniquesHigher-dimensional field theoriesNoncommutative field theoriesQuantum field theoryStrings & branesSupergravitySupersymmetric field theoriesSupersymmetrySymmetriesTopological field theories
    General PhysicsParticles & Fields

    Authors & Affiliations

    C. A. Cremonini1,2,* and P. A. Grassi3,4,5,†

    • 1Dipartimento di Scienze e Alta Tecnologia (DiSAT), Università degli Studi dell’Insubria, via Valleggio 11, 22100 Como, Italy
    • 2INFN, Sezione di Milano, via G. Celoria 16, 20133 Milano, Italy
    • 3Dipartimento di Scienze e Innovazione Tecnologica (DiSIT), Università del Piemonte Orientale, viale T. Michel, 11, 15121 Alessandria, Italy
    • 4INFN, Sezione di Torino, via P. Giuria 1, 10125 Torino, Italy
    • 5Arnold-Regge Center, via P. Giuria 1, 10125 Torino, Italy

    • *carlo.alberto.cremonini@gmail.com
    • †pietro.grassi@uniupo.it

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    Issue

    Vol. 102, Iss. 2 — 15 July 2020

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