L-Algebras, the BV Formalism, and Classical Fields: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

Branislav Jurčo, Tommaso Macrelli, Lorenzo Raspollini, Christian Sämann, Martin Wolf

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We summarise some of our recent works on (Formula presented.) -algebras and quasi-groups with regard to higher principal bundles and their applications in twistor theory and gauge theory. In particular, after a lightning review of (Formula presented.) -algebras, we discuss their Maurer–Cartan theory and explain that any classical field theory admitting an action can be reformulated in this context with the help of the Batalin–Vilkovisky formalism. As examples, we explore higher Chern–Simons theory and Yang–Mills theory. We also explain how these ideas can be combined with those of twistor theory to formulate maximally superconformal gauge theories in four and six dimensions by means of (Formula presented.) -quasi-isomorphisms, and we propose a twistor space action.

Original languageEnglish
Article number1910025
JournalFortschritte der Physik
Volume67
Issue number8-9
Early online date20 Jun 2019
DOIs
Publication statusPublished - 8 Sep 2019

Keywords

  • -algebras
  • Batalin–Vilkovisky formalism
  • higher gauge theories
  • twistor geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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