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Noncommutative hamiltonian formalism for noncommutative gravity

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arxiv 2209.02716 v3 pith:YC5CBJSJ submitted 2022-09-06 hep-th gr-qcmath-phmath.MP

Noncommutative hamiltonian formalism for noncommutative gravity

classification hep-th gr-qcmath-phmath.MP
keywords noncommutativeformalismgravitystarcanonicalgaugegeneratorsspace
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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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