Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories
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Publication:2635585
DOI10.1007/JHEP07(2015)055zbMath1388.83537arXiv1502.02972MaRDI QIDQ2635585
Danijel Pikutić, Tajron Jurić, Rina Štrajn, Stjepan Meljanac
Publication date: 31 May 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.02972
Related Items (13)
Deformed quantum phase spaces, realizations, star products and twists ⋮ Symmetric ordering and Weyl realizations for quantum Minkowski spaces ⋮ Generalized Heisenberg algebra, realizations of the \(\mathfrak{gl}(N)\) algebra and applications ⋮ Minimal and maximal lengths from position-dependent non-commutativity ⋮ Symmetries of \(\kappa\)-Minkowski space-time: a possibility of exotic momentum space geometry? ⋮ Realization of bicovariant differential calculus on the Lie algebra type noncommutative spaces ⋮ Generalization of Weyl realization to a class of Lie superalgebras ⋮ Observables and dispersion relations in \(\kappa\)-Minkowski spacetime ⋮ The Weyl realizations of Lie algebras, and left–right duality ⋮ The \(\kappa\)-(A)dS noncommutative spacetime ⋮ Fuzzy worldlines with \(\kappa\)-Poincaré symmetries ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra ⋮ Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity
Cites Work
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- Star product realizations of \(\kappa \)-Minkowski space
- Non-Pauli effects from noncommutative spacetimes
- Symmetry reduction in twisted noncommutative gravity with applications to cosmology and black holes
- Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces
- A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra
- Covariant realizations of kappa-deformed space
- \(\kappa \)-Minkowski spacetime and the star product realizations
- New realizations of Lie algebra kappa-deformed Euclidean space
- Generalised Chern-Simons actions for 3d gravity and \(\kappa \)-Poincaré symmetry
- Derivations of the Moyal algebra and noncommutative gauge theories
- 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
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Local field theory on \(\kappa \)-Minkowski space, star products and noncommutative translations.
- Classical and quantum mechanics of free \(\kappa\)-relativistic systems
- The quantum structure of spacetime of the Planck scale and quantum fields
- Scalar field propagation in the \(\phi^{4}\kappa\)-Minkowski model
- \(\kappa \)-deformed phase space, Hopf algebroid and twisting
- \(\kappa\)-Poincaré-Hopf algebra and Hopf algebroid structure of phase space from twist
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Duality for generalised differentials on quantum groups
- Quantum κ-deformed differential geometry and field theory
- DIFFERENTIAL STRUCTURE ON κ-MINKOWSKI SPACE, AND κ-POINCARÉ ALGEBRA
- DIFFERENTIAL ALGEBRAS ON κ-MINKOWSKI SPACE AND ACTION OF THE LORENTZ ALGEBRA
- Universal κ-Poincaré covariant differential calculus over κ-Minkowski space
- 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
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Scalar field theory in κ-Minkowski spacetime from twist
- Noncommutative differential forms on the kappa-deformed space
- Classification of differential calculi on Uq(b+), classical limits, and duality
- Generalization of Weyl realization to a class of Lie superalgebras
- RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
- Differential calculi on quantum Minkowski space
- 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
- SPIN AND STATISTICS ON THE GROENEWOLD–MOYAL PLANE: PAULI-FORBIDDEN LEVELS AND TRANSITIONS
- A gravity theory on noncommutative spaces
- Noncommutative geometry and gravity
- Testable scenario for relativity with minimum length
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