The $L_{\infty}$-structure of noncommutative gravity
High Energy Physics - Theory
2022-04-01 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.2203.15744,
title = {The $L_{\infty}$-structure of noncommutative gravity},
author = {Richard J. Szabo},
journal= {arXiv preprint arXiv:2203.15744},
year = {2022}
}
Comments
22 pages; v2: typos corrected; Contribution to the Proceedings of the Humboldt Kolleg on "Quantum Gravity and Fundamental Interactions", Corfu Summer Institute on Elementary Particle Physics and Gravity, 29 August-9 October 2021, Corfu, Greece