Homotopy Lie algebras of Gravity and their Braided Deformations
M. Dimitrijević Ćirić, G. Giotopoulos*, V. Radovanović and R. Szabo
Published on:
August 18, 2020
Abstract
We describe the cyclic $L_{\infty}$-algebra formulation of classical general relativity without matter fields in the Einstein-Cartan-Palatini formalism. Using Drinfel’d twist deformation techniques, we define a noncommutative version of the theory with braided gauge symmetries. We introduce a notion of braided $L_{\infty}$-algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.
DOI: https://doi.org/10.22323/1.376.0198
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