Generalised Chern-Simons actions for 3d gravity and \(\kappa \)-Poincaré symmetry

DOI10.1016/j.nuclphysb.2008.06.023zbMath1192.83011arXiv0805.3318OpenAlexW2107813455MaRDI QIDQ985757

Bernd J. Schroers, Catherine Meusburger

Publication date: 6 August 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3318

zbMATH Keywords

symplectic structurethree dimensionsPoisson-Lie structuresFock-Rosly constructionPoincaré, de Sitter and anti-de Sitter groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Hopf algebras and their applications (16T05)

Related Items

Towards \((3+1)\) gravity through Drinfel'd doubles with cosmological constant ⋮ Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories ⋮ Universal κ-Poincaré covariant differential calculus over κ-Minkowski space ⋮ Classical r -matrices for the generalised Chern–Simons formulation of 3d gravity ⋮ AdS Poisson homogeneous spaces and Drinfel’d doubles ⋮ Effective Chern-Simons actions of particles coupled to 3D gravity ⋮ Basic quantizations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \( {\mathfrak{o}}^{\star}(4) \) symmetries ⋮ Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups ⋮ Semidual Kitaev lattice model and tensor network representation ⋮ Quantum isometry groups and Born reciprocity in 3d gravity ⋮ Quantum gravity on a square graph ⋮ Classical r-matrices via semidualisation ⋮ Spin networks and cosmic strings in 3+1 dimensions ⋮ Quantum d = 3 Euclidean and Poincaré symmetries from contraction limits ⋮ A \((2+1)\) non-commutative Drinfel'd double spacetime with cosmological constant ⋮ On \(\kappa \)-deformation and triangular quasibialgebra structure ⋮ Extended thermodynamics and complexity in gravitational Chern-Simons theory ⋮ The Poincaré group as a Drinfel’d double ⋮ Hermitian realizations of κ-Minkowski space–time ⋮ On the semiduals of local isometry groups in three-dimensional gravity

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