Homotopy Lie Algebras of Gravity and their Braided Deformations
Abstract
We describe the cyclic $L_{\infty}$algebra formulation of classical general relativity without matter fields in the EinsteinCartanPalatini formalism. Using Drinfel'd twist deformation techniques, we define a noncommutative version of the theory with braided gauge symmetries. We introduce a notion of braided $L_{\infty}$algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.
 Publication:

arXiv eprints
 Pub Date:
 May 2020
 arXiv:
 arXiv:2005.00454
 Bibcode:
 2020arXiv200500454D
 Keywords:

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