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.
|Journal||Proceedings of Science|
|Publication status||Published - 18 Aug 2020|
|Event||Corfu Summer Institute 2019: School and Workshops on Elementary Particle Physics and Gravity - Corfu, Greece|
Duration: 25 Sep 2019 → 29 Sep 2019
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