New Lie-algebraic and quadratic deformations of Minkowski space from twisted Poincaré symmetries

From MaRDI portal
Publication:453954

DOI10.1016/j.physletb.2005.11.052zbMath1247.81216arXivhep-th/0508083OpenAlexW2073611372WikidataQ62579682 ScholiaQ62579682MaRDI QIDQ453954

Mariusz Woronowicz, Jerzy Lukierski

Publication date: 30 September 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0508083



Related Items

Deformed quantum phase spaces, realizations, star products and twists, Symmetric ordering and Weyl realizations for quantum Minkowski spaces, GENERATING OF ADDITIONAL FORCE TERMS IN NEWTON EQUATION BY TWIST-DEFORMED HOPF ALGEBRAS AND CLASSICAL SYMMETRIES, The noncommutative space of light-like worldlines, Yang-Baxter sigma models and Lax pairs arising from \(\kappa\)-Poincaré \(r\)-matrices, Yang-Baxter deformations of Minkowski spacetime, Lax pairs on Yang-Baxter deformed backgrounds, DIFFERENTIAL ALGEBRAS ON κ-MINKOWSKI SPACE AND ACTION OF THE LORENTZ ALGEBRA, BRAIDED FIELD QUANTIZATION FROM QUANTUM POINCARÉ COVARIANCE, Global space-time symmetries of quantized Euclidean and Minkowski superspaces, Classical oscillator model on canonical, Lie-algebraic deformation and Heisenberg-Weyl algebra deformation nonrelativistic space, A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra, Yang-Baxter deformations beyond coset spaces (a slick way to do TsT), Physical constraints on quantum deformations of spacetime symmetries, Conformal twists, Yang–Baxter σ-models & holographic noncommutativity, Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of \(\varrho\)-Minkowski, Field theories on \(\rho\)-deformed Minkowski space-time, Gauge theory on twist-noncommutative spaces, Poisson gauge models and Seiberg-Witten map, Noncommutative Riemannian geometry from quantum spacetime generated by twisted Poincaré group, Lie-Poisson gauge theories and \(\kappa\)-Minkowski electrodynamics, Generalization of Weyl realization to a class of Lie superalgebras, CANONICAL, LIE-ALGEBRAIC AND QUADRATIC TWIST DEFORMATIONS OF GALILEI GROUP, CANONICAL AND LIE-ALGEBRAIC TWIST DEFORMATIONS OF GALILEI ALGEBRA, Quantum twist-deformed \(D = 4\) phase spaces with spin sector and Hopf algebroid structures, The energy–momentum conservation law in two-particle system for twist-deformed Galilei Hopf algebras, Features of description of composite system’s motion in twist-deformed spacetime, SPECTRA OF DISC AREA OPERATOR FOR TWISTED ACCELERATION-ENLARGED NEWTON–HOOKE SPACETIMES, Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz, and Poincaré algebras and their dual extensions, Time discretization from noncommutativity, Pauli energy spectrum for twist-deformed spacetime, Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach, CLASSICAL MECHANICS OF MANY PARTICLES DEFINED ON CANONICALLY DEFORMED NONRELATIVISTIC SPACETIME, Groenewold-Moyal product, α*-cohomology, and classification of translation-invariant non-commutative structures, N-ENLARGED GALILEI HOPF ALGEBRA AND ITS TWIST DEFORMATIONS, TWISTED RINDLER SPACETIMES, A \((2+1)\) non-commutative Drinfel'd double spacetime with cosmological constant, STUDY ON THE NONCOMMUTATIVE REPRESENTATIONS OF GALILEAN GENERATORS, Classical mechanics on noncommutative space with Lie-algebraic structure, Generalized twist deformations of Poincaré and Galilei Hopf algebras, Covariant realizations of kappa-deformed space, Jordanian twist quantization of \(D=4\) Lorentz and Poincaré algebras and \(D=3\) contraction limit, Deformed Schrödinger symmetry on noncommutative space, BMS algebras in 4 and 3 dimensions, their quantum deformations and duals, \(N=\frac 12\) deformations of chiral superspaces from new quantum Poincaré and Euclidean superalgebras, The Poincaré group as a Drinfel’d double, Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups, CANONICAL AND LIE-ALGEBRAIC TWIST DEFORMATIONS OF κ-POINCARÉ AND CONTRACTIONS TO κ-GALILEI ALGEBRAS, Twist deformations of \(\kappa \)-Poincaré algebra, TWIST DEFORMATIONS OF NEWTON–HOOKE HOPF ALGEBRAS, Canonical and Lie-algebraic twist deformations of Carroll, para-Galilei and Static Hopf algebras, SPACETIME FROM SYMMETRY: THE MOYAL PLANE FROM THE POINCARÉ–HOPF ALGEBRA, Twist-deformed gravitational quantum well, Killing spinors from classical r-matrices, Noncommutative scalar quasinormal modes of the Reissner–Nordström black hole, Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap., Noncommutative fields and actions of twisted Poincaré algebra, Generalized twist deformations of Poincaré and Galilei quantum groups, EQUIVALENT FORCES IN NEWTON EQUATION FROM TWIST DEFORMATIONS AND NON-INERTIAL COORDINATE FRAMES, The Henon–Heiles system defined on Lie-algebraically deformed Galilei spacetime, All noncommutative spaces of κ-Poincaré geodesics



Cites Work