Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/899
Title: Braided L<inf>∞</inf> -algebras, braided field theory and noncommutative gravity
Authors: Dimitrijević-Ćirić, Marija 
Giotopoulos, Grigorios
Radovanović, Voja 
Szabo, Richard J.
Keywords: Drinfeld twist;L -algebra ∞;Noncommutative gravity
Issue Date: 1-Dec-2021
Journal: Letters in Mathematical Physics
Abstract: 
We define a new homotopy algebraic structure, that we call a braided L∞-algebra, and use it to systematically construct a new class of noncommutative field theories, that we call braided field theories. Braided field theories have gauge symmetries which realize a braided Lie algebra, whose Noether identities are inhomogeneous extensions of the classical identities, and which do not act on the solutions of the field equations. We use Drinfel’d twist deformation quantization techniques to generate new noncommutative deformations of classical field theories with braided gauge symmetries, which we compare to the more conventional theories with star-gauge symmetries. We apply our formalism to introduce a braided version of general relativity without matter fields in the Einstein–Cartan–Palatini formalism. In the limit of vanishing deformation parameter, the braided theory of noncommutative gravity reduces to classical gravity without any extensions.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/899
ISSN: 0377-9017
DOI: 10.1007/s11005-021-01487-x
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