Noncommutative Hamiltonian formalism for noncommutative gravity

Leonardo Castellani

doi:10.1088/1361-6382/acdd48

Noncommutative Hamiltonian formalism for noncommutative gravity

Leonardo Castellani

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › 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.

Original language	English
Article number	165004
Journal	Classical and Quantum Gravity
Volume	40
Issue number	16
DOIs	https://doi.org/10.1088/1361-6382/acdd48
Publication status	Published - 31 Aug 2023

Keywords

covariant canonical formalism
noncommutative Hamiltonian
noncommutative gravity

Access to Document

10.1088/1361-6382/acdd48

Cite this

@article{78e6fb9389fe469181401013ad113500,

title = "Noncommutative Hamiltonian formalism for noncommutative gravity",

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.",

keywords = "covariant canonical formalism, noncommutative Hamiltonian, noncommutative gravity",

author = "Leonardo Castellani",

note = "Publisher Copyright: {\textcopyright} 2023 IOP Publishing Ltd.",

year = "2023",

month = aug,

day = "31",

doi = "10.1088/1361-6382/acdd48",

language = "English",

volume = "40",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd.",

number = "16",

}

TY - JOUR

T1 - Noncommutative Hamiltonian formalism for noncommutative gravity

AU - Castellani, Leonardo

PY - 2023/8/31

Y1 - 2023/8/31

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

UR - https://www.scopus.com/pages/publications/85165237808

U2 - 10.1088/1361-6382/acdd48

DO - 10.1088/1361-6382/acdd48

M3 - Article

SN - 0264-9381

VL - 40

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 16

M1 - 165004

ER -

Noncommutative Hamiltonian formalism for noncommutative gravity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this