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The $L_{\infty}$-structure of noncommutative gravity (2203.15744v2)
Published 29 Mar 2022 in hep-th, gr-qc, math-ph, math.MP, and math.QA
Abstract: 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.