Noncommutative hamiltonian formalism for noncommutative gravity
High Energy Physics - Theory
2023-07-26 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We present a covariant canonical formalism for noncommutative gravity, and in general for noncommutative geometric theories defined via a twisted -wedge product between forms. Noether theorems are generalized to the noncommutative setting, and gauge generators are constructed in a twisted phase space with -deformed Poisson bracket. This formalism is applied to noncommutative vierbein gravity, and allows to find the canonical generators of the tangent space -gauge group.
Cite
@article{arxiv.2209.02716,
title = {Noncommutative hamiltonian formalism for noncommutative gravity},
author = {Leonardo Castellani},
journal= {arXiv preprint arXiv:2209.02716},
year = {2023}
}
Comments
20 pages, version to be published in Class. and Quantum Gravity. v3: title slightly changed, minor improvements, paragraph added in Conclusions. v2: improved discussion in Sect.3, completed the list of momenta variations in Sect. 5.2. In memoriam of Alessandro D'Adda