Noncommutative Hamiltonian formalism for noncommutative gravity

Noncommutative Hamiltonian formalism for noncommutative gravity

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 ⋆ -deforme...

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Veröffentlicht in:Classical and quantum gravity 2023-08, Vol.40 (16), p.165004
1. Verfasser: Castellani, Leonardo
Format: Artikel
Sprache:eng
Schlagworte:
covariant canonical formalism
noncommutative gravity
noncommutative Hamiltonian
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Zusammenfassung: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/acdd48