The $L_{\infty}$-structure of noncommutative gravity
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.15744
- arXiv:
- arXiv:2203.15744
- Bibcode:
- 2022arXiv220315744S
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 22 pages