Universal κ-Poincaré covariant differential calculus over κ-Minkowski space
DOI10.1142/S0217751X14501218zbMath1297.81111arXiv1312.2751MaRDI QIDQ2922825
Tajron Jurić, Rina Štrajn, Stjepan Meljanac
Publication date: 15 October 2014
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.2751
noncommutative geometrydifferential calculus\(\kappa\)-Poincaré algebra\(\kappa\)-Minkowski space-time
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Hopf algebras and their applications (16T05)
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Cites Work
- On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
- Relative locality: a deepening of the relativity principle
- Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
- Twisted gauge theories
- Covariant particle statistics and intertwiners of the \(\kappa \)-deformed Poincaré algebra
- Covariant particle exchange for \(\kappa\)-deformed theories in 1+1 dimensions
- Covariant realizations of kappa-deformed space
- \(\kappa \)-Minkowski spacetime and the star product realizations
- Generalised Chern-Simons actions for 3d gravity and \(\kappa \)-Poincaré symmetry
- Gravity in non-commutative geometry
- The bicovariant differential calculus on the \(\kappa\)-Poincaré and \(\kappa\)-Weyl groups
- Doubly special relativity theories as different bases of \(\kappa\)-Poincaré algebra
- Quantum group symmetry and particle scattering in \((2+1)\)-dimensional quantum gravity
- \(\kappa\)-deformation of phase space; generalized Poincaré algebras and \(R\)-matrix
- Differential calculus on compact matrix pseudogroups (quantum groups)
- New quantum Poincaré algebra and \(\kappa\)-deformed field theory
- On the \(\kappa\)-Dirac oscillator revisited
- A twisted look on kappa-Minkowski: \(\mathrm{U}(1)\) gauge theory
- Scalar field propagation in the \(\phi^{4}\kappa\)-Minkowski model
- Noncommutative gravity solutions
- \(\kappa\)-Poincaré-Hopf algebra and Hopf algebroid structure of phase space from twist
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
- A hydrogen atom on curved noncommutative space
- DIFFERENTIAL STRUCTURE ON κ-MINKOWSKI SPACE, AND κ-POINCARÉ ALGEBRA
- DIFFERENTIAL ALGEBRAS ON κ-MINKOWSKI SPACE AND ACTION OF THE LORENTZ ALGEBRA
- SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE
- 3D Quantum Gravity and Effective Noncommutative Quantum Field Theory
- Quantum symmetry, the cosmological constant and Planck-scale phenomenology
- The classical basis for the κ-Poincaré Hopf algebra and doubly special relativity theories
- Symmetry, gravity and noncommutativity
- FIELD THEORY ON κ-MINKOWSKI SPACE REVISITED: NOETHER CHARGES AND BREAKING OF LORENTZ SYMMETRY
- κ-DEFORMED STATISTICS AND CLASSICAL FOUR-MOMENTUM ADDITION LAW
- κ-DEFORMED SNYDER SPACETIME
- Scalar field theory in κ-Minkowski spacetime from twist
- Noncommutative differential forms on the kappa-deformed space
- Doubly special relativity and de Sitter space
- WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS
- Differential calculi on quantum Minkowski space
- Quantum Poincare group related to the kappa -Poincare algebra
- Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations
- Gravity induced from quantum spacetime
- Twists, realizations and Hopf algebroid structure of κ-deformed phase space
- Quantum mechanics with coordinate dependent noncommutativity
- A gravity theory on noncommutative spaces
- Noncommutative geometry and gravity
- Construction of non-Abelian gauge theories on noncommutative spaces
- Riemannian geometry of quantum groups and finite groups with nonuniversal differentials