Deformed Carroll particle from \(2 + 1\) gravity

DOI10.1016/j.physletb.2014.08.066zbMath1317.81200arXiv1408.0154OpenAlexW1974642370WikidataQ59700169 ScholiaQ59700169MaRDI QIDQ2355049

Jerzy Kowalski-Glikman, Tomasz Trześniewski

Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1408.0154

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Gravitational interaction in quantum theory (81V17)

Related Items (8)

Space-time defects and group momentum space ⋮ Effective Chern-Simons actions of particles coupled to 3D gravity ⋮ Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry ⋮ Quantum d = 3 Euclidean and Poincaré symmetries from contraction limits ⋮ Carroll membranes ⋮ Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups ⋮ Canonical and Lie-algebraic twist deformations of Carroll, para-Galilei and Static Hopf algebras ⋮ The \(\kappa \)-Newtonian and \(\kappa \)-Carrollian algebras and their noncommutative spacetimes

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• The quantisation of Poisson structures arising in Chern-Simons theory with gauge group \(G\ltimes{\mathfrak g}^*\)
• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• Dynamics of Carroll particles
• Kinematics of a relativistic particle with de Sitter momentum space
• Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory
• Poisson structure and symmetry in the Chern–Simons formulation of (2   1)-dimensional gravity
• Doubly special relativity and de Sitter space
• Quantum mechanics of a point particle in -dimensional gravity
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Possible Kinematics
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