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∞-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∞-algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.

Original languageEnglish
Article number198
JournalProceedings of Science
Volume376
DOIs
Publication statusPublished - 18 Aug 2020
EventCorfu Summer Institute 2019: School and Workshops on Elementary Particle Physics and Gravity - Corfu, Greece
Duration: 25 Sep 201929 Sep 2019

ASJC Scopus subject areas

  • General

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