L∞-Algebras, the BV Formalism, and Classical Fields
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Jurčo, Branislav, Macrelli, Tommaso, Raspollini, Lorenzo, Sämann, Christian and Wolf, Martin (2019) L∞-Algebras, the BV Formalism, and Classical Fields In: London Mathematical Society / EPSRC Durham Symposium Higher Structures in M-Theory (Durham University (UK) 12–18 August 2018), 12-18 Aug 2018, Durham University, Durham UK.
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L∞-Algebras, the BV Formalism, and Classical Fields.pdf - Accepted version Manuscript Download (404kB) | Preview |
Official URL: http://dx.doi.org/10.1002/prop.201910025
Abstract
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.
| Item Type: | Conference or Workshop Item (Conference Paper) | ||||||||||||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | ||||||||||||||||||
| Authors : |
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| Date : | August 2019 | ||||||||||||||||||
| Funders : | Engineering and Physical Sciences Research Council (EPSRC), The Czech Science Foundation (GACR) | ||||||||||||||||||
| DOI : | 10.1002/prop.201910025 | ||||||||||||||||||
| Copyright Disclaimer : | © 2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim. This is the pre-peer reviewed version of the following article: Jurčo, B., Macrelli, T., Raspollini, L., Sämann, C., Wolf, M., L∞‐Algebras, the BV Formalism, and Classical Fields. Fortschr. Phys. 2019, 67, 1910025, which has been published in final form at https://doi.org/10.1002/prop.201910025 | ||||||||||||||||||
| Uncontrolled Keywords : | Batalin–Vilkovisky formalism; Higher gauge theories; L∞‐algebras; Twistor geometry | ||||||||||||||||||
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| Depositing User : | Clive Harris | ||||||||||||||||||
| Date Deposited : | 20 Sep 2019 10:26 | ||||||||||||||||||
| Last Modified : | 20 Sep 2019 12:21 | ||||||||||||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/852682 |
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