The \(\kappa\)-(A)dS noncommutative spacetime
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Publication:2326288
DOI10.1016/j.physletb.2019.07.038zbMath1422.81134arXiv1905.12358OpenAlexW2959844033MaRDI QIDQ2326288
Ivan Gutierrez-Sagredo, Ángel Ballesteros, Francisco J. Herranz
Publication date: 7 October 2019
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.12358
quantum groupsquantizationcosmological constantkappa-deformationnoncommutative spacetimes(anti-)de Sitter
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60)
Related Items (9)
The momentum spaces of \(\kappa \)-Minkowski noncommutative spacetime ⋮ The noncommutative space of light-like worldlines ⋮ The Snyder-de Sitter scalar \(\varphi_\star^4\) quantum field theory in \(D = 2\) ⋮ Generalized quantum phase spaces for the \(\kappa\)-deformed extended Snyder model ⋮ Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups ⋮ The \(\kappa \)-Newtonian and \(\kappa \)-Carrollian algebras and their noncommutative spacetimes ⋮ Fuzzy worldlines with \(\kappa\)-Poincaré symmetries ⋮ Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces ⋮ All noncommutative spaces of κ-Poincaré geodesics
Cites Work
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- Towards \((3+1)\) gravity through Drinfel'd doubles with cosmological constant
- Star product realizations of \(\kappa \)-Minkowski space
- Twisted \((2+1)\) \(\kappa\)-AdS algebra, Drinfel'd doubles and non-commutative spacetimes
- Gauge theory on twisted \(\kappa \)-Minkowski: old problems and possible solutions
- \(\kappa\)-Minkowski spacetimes and DSR algebras: fresh look and old problems
- Curved momentum spaces from quantum groups with cosmological constant
- From noncommutative \(\kappa \)-Minkowski to Minkowski space-time
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Compact matrix pseudogroups
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- Deformed field theory on \(\kappa\)-spacetime
- Light cone in a quantum spacetime
- Observables and dispersion relations in \(\kappa\)-Minkowski spacetime
- The \(\kappa\)-(A)dS quantum algebra in \((3+1)\) dimensions
- Algebra of functions on the quantum group SU(2)
- The local index formula in noncommutative geometry
- New quantum Poincaré algebra and \(\kappa\)-deformed field theory
- The quantum structure of spacetime of the Planck scale and quantum fields
- On Poisson homogeneous spaces of Poisson-Lie groups
- Noncommutative spaces of worldlines
- Minimal length scale scenarios for quantum gravity
- \(\kappa\)-deformed covariant quantum phase spaces as Hopf algebroids
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories
- Relative locality in κ-Poincaré
- κ -Minkowski representations on Hilbert spaces
- CANONICAL AND LIE-ALGEBRAIC TWIST DEFORMATIONS OF κ-POINCARÉ AND CONTRACTIONS TO κ-GALILEI ALGEBRAS
- The quantum Heisenberg group H(1)q
- Quadratic Poisson algebras and their infinite-dimensional extensions
- WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS
- AdS Poisson homogeneous spaces and Drinfel’d doubles
- The n-dimensional kappa -Poincare algebra and group
- Quantum Poincare group related to the kappa -Poincare algebra
- Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras
- On Quantized Space-Time
- Quantized Space-Time
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