Quantum twist-deformed \(D = 4\) phase spaces with spin sector and Hopf algebroid structures

DOI10.1016/j.physletb.2018.11.055zbMath1406.81050arXiv1811.07365OpenAlexW2900538442WikidataQ128838142 ScholiaQ128838142MaRDI QIDQ1716696

Stjepan Meljanac, Mariusz Woronowicz, Jerzy Lukierski

Publication date: 5 February 2019

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

Full work available at URL: https://arxiv.org/abs/1811.07365

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Hopf algebras and their applications (16T05)

Related Items (5)

Deformed quantum phase spaces, realizations, star products and twists ⋮ Generalized Heisenberg algebra, realizations of the \(\mathfrak{gl}(N)\) algebra and applications ⋮ Exponential formulas, normal ordering and the Weyl-Heisenberg algebra ⋮ Generalized quantum phase spaces for the \(\kappa\)-deformed extended Snyder model ⋮ Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz, and Poincaré algebras and their dual extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heisenberg doubles of quantized Poincaré algebras
• Twisted \((2+1)\) \(\kappa\)-AdS algebra, Drinfel'd doubles and non-commutative spacetimes
• Non-Pauli effects from noncommutative spacetimes
• Space-time symmetry of noncommutative field theory
• New Lie-algebraic and quadratic deformations of Minkowski space from twisted Poincaré symmetries
• Lie algebra type noncommutative phase spaces are Hopf algebroids
• Gauge symmetries and fibre bundles. Applications to particle dynamics
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
• Symplectic structures associated to Lie-Poisson groups
• Relativistic Calogero-Moser model as gauged WZW theory.
• Bialgebroids, \(\times_A\)-bialgebras and duality
• Generalised kinematics for double field theory
• Basic quantizations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \( {\mathfrak{o}}^{\star}(4) \) symmetries
• Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach
• \(\kappa \)-deformed phase space, Hopf algebroid and twisting
• \(\kappa\)-deformed covariant quantum phase spaces as Hopf algebroids
• Metastring theory and modular space-time
• A GEOMETRIC MODEL OF THE ARBITRARY SPIN MASSIVE PARTICLE
• Twisted bialgebroids versus bialgebroids from a Drinfeld twist
• Hopf Algebroids
• Elliptic Ruijsenaars - Schneider model via the Poisson reduction of the affine Heisenberg double
• Relativistic wavefunctions on spinor spaces
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• Twists, realizations and Hopf algebroid structure of κ-deformed phase space
• Wavefunctions on Homogeneous Spaces
• Quantization and unitary representations
• Internal Structure of Spinning Particles
• Quantum groupoids

This page was built for publication: Quantum twist-deformed \(D = 4\) phase spaces with spin sector and Hopf algebroid structures