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<i>L</i><sub>∞</sub>-Algebras, the BV Formalism, and Classical Fields
Conference presentation   Open access   Peer reviewed

L-Algebras, the BV Formalism, and Classical Fields

Branislav Jurčo, Tommaso Macrelli, Lorenzo Raspollini, Christian Sämann and Martin Wolf
Fortschritte der Physik - Special Issue: Proceedings of the LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory (Durham University (UK) 12–18 August 2018), Vol.67(8-9)
Wiley-VCH Verlag
London Mathematical Society / EPSRC Durham Symposium Higher Structures in M-Theory (Durham University (UK) 12–18 August 2018) (Durham University, Durham UK, 12/08/2018–18/08/2018)
08/2019

Abstract

Batalin–Vilkovisky formalism; Higher gauge theories; L∞‐algebras; Twistor geometry
We summarise some of our recent works on L‐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 L‐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 L‐quasi‐isomorphisms, and we propose a twistor space action.
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L∞-Algebras, the BV Formalism, and Classical Fields394.80 kBDownloadView
Text Open Access
url
http://dx.doi.org/10.1002/prop.201910025View
Published (Version of record)
url
http://www.maths.dur.ac.uk/lms/109/View

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