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 EinsteinCartanPalatini formalism.
 Publication:

arXiv eprints
 Pub Date:
 March 2022
 DOI:
 10.48550/arXiv.2203.15744
 arXiv:
 arXiv:2203.15744
 Bibcode:
 2022arXiv220315744S
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Mathematics  Quantum Algebra
 EPrint:
 22 pages