Noncommutative Hamiltonian formalism for noncommutative gravity

Leonardo Castellani

doi:10.1088/1361-6382/acdd48

Noncommutative Hamiltonian formalism for noncommutative gravity

Leonardo Castellani

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

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

Lingua originale	Inglese
Numero di articolo	165004
Rivista	Classical and Quantum Gravity
Volume	40
Numero di pubblicazione	16
DOI	https://doi.org/10.1088/1361-6382/acdd48
Stato di pubblicazione	Pubblicato - 31 ago 2023

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10.1088/1361-6382/acdd48

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Noncommutative Hamiltonian formalism for noncommutative gravity

Abstract

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