We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.
|Proceedings of Science
|Published - 23 Nov 2022
|20th Hellenic School and Workshops on Elementary Particle Physics and Gravity 2021 - Corfu, Greece
Duration: 29 Aug 2021 → 9 Oct 2021
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