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arXiv · 2005.00454

Homotopy Lie Algebras of Gravity and their Braided Deformations

Marija Dimitrijević Ćirić·Grigorios Giotopoulos·Voja Radovanović·Richard J. Szabo
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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.

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Marija Dimitrijević Ćirić, Grigorios Giotopoulos, Voja Radovanović, Richard J. Szabo. 2020-05-01. Homotopy Lie Algebras of Gravity and their Braided Deformations. https://arxiv.org/abs/2005.00454

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