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L∞-algebras, the BV formalism, and classical fields: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory
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SYSNO ASEP 0518730 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title L∞-algebras, the BV formalism, and classical fields: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory Author(s) Jurčo, Branislav (MU-W) SAI, RID, ORCID
Macrelli, T. (GB)
Raspollini, L. (GB)
Sämann, Ch. (GB)
Wolf, M. (GB)Article number 1910025 Source Title Fortschritte der Physik - Progress of Physics. - : Wiley - ISSN 0015-8208
Roč. 67, č. 8-9 (2019)Number of pages 17 s. Language eng - English Country DE - Germany Keywords Batalin–Vilkovisky formalism ; higher Gauge theories ; twistor geometry Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-07776S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000486266200026 EID SCOPUS 85068168683 DOI 10.1002/prop.201910025 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020 Electronic address http://dx.doi.org/10.1002/prop.201910025
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