L∞-algebras, the BV formalism, and classical fields: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

0518730 - MÚ 2020 RIV DE eng J - Článek v odborném periodiku
Jurčo, Branislav - Macrelli, T. - Raspollini, L. - Sämann, Ch. - Wolf, M.
L∞-algebras, the BV formalism, and classical fields: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory.
Fortschritte der Physik - Progress of Physics. Roč. 67, č. 8-9 (2019), č. článku 1910025. ISSN 0015-8208. E-ISSN 1521-3978
Grant CEP: GA ČR(CZ) GA18-07776S
Institucionální podpora: RVO:67985840
Klíčová slova: Batalin–Vilkovisky formalism * higher Gauge theories * twistor geometry
Obor OECD: Pure mathematics
Impakt faktor: 3.921, rok: 2019
Způsob publikování: Omezený přístup
http://dx.doi.org/10.1002/prop.201910025

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.
Trvalý link: http://hdl.handle.net/11104/0303792