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arXiv · 2209.02716

Noncommutative hamiltonian formalism for noncommutative gravity

Leonardo Castellani
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Abstract

We present a covariant canonical formalism for noncommutative gravity, and in general for noncommutative geometric theories defined via a twisted $\star$-wedge product between forms. Noether theorems are generalized to the noncommutative setting, and gauge generators are constructed in a twisted phase space with $\star$-deformed Poisson bracket. This formalism is applied to noncommutative $d=4$ vierbein gravity, and allows to find the canonical generators of the tangent space $\star$-gauge group.

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Leonardo Castellani. 2022-09-06. Noncommutative hamiltonian formalism for noncommutative gravity. https://doi.org/10.1088/1361-6382%2Facdd48

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