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Paper detail

The $L_{\infty}$-structure of noncommutative gravity

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.

preprint2022arXivOpen access
Richard J. Szabo
math-phmath.QAmath.MPgr-qchep-th
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Richard J. Szabo

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