TY - JOUR
T1 - Noncommutative Hamiltonian formalism for noncommutative gravity *
AU - CASTELLANI, Leonardo
N1 - Publisher Copyright:
© 2023 IOP Publishing Ltd.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - covariant canonical formalism
KW - noncommutative Hamiltonian
KW - noncommutative gravity
KW - covariant canonical formalism
KW - noncommutative Hamiltonian
KW - noncommutative gravity
UR - https://iris.uniupo.it/handle/11579/165843
U2 - 10.1088/1361-6382/acdd48
DO - 10.1088/1361-6382/acdd48
M3 - Article
SN - 0264-9381
VL - 40
SP - 165004
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 16
ER -