Universal \(R\) operator with Jordanian deformation of conformal symmetry

DOI10.1016/j.nuclphysb.2003.12.009zbMath1097.17505arXivnlin/0310019OpenAlexW2071720297MaRDI QIDQ1422090

Roland Kirschner, D. R. Karakhanyan, Sergey E. Derkachov

Publication date: 18 February 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0310019

zbMATH Keywords

representations\(sl(2)\) bialgebra structurehigh-energy scattering asymptotics

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Quantum scattering theory (81U99)

Related Items

Polynomial realization of \(s\ell_q(2)\) and fusion rules at exceptional values of \(q\).

Cites Work

• Unnamed Item
• Unnamed Item
• A Hopf star-algebra of polynomials on the quantum \(SL(2,\mathbb{R})\) for a `unitary' \(R\)-matrix
• A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
• The \(N=4\) SYM integrable super spin chain
• The Jordanian deformation of \(\text{SU}(2)\) and Clebsch-Gordan coefficients
• \(\kappa\)-deformations of \(D=4\) Weyl and conformal symmetries
• Universal \(R\) operator with deformed conformal symmetry
• Jordanian solutions of simplex equations
• A new ``null-plane quantum Poincaré algebra
• A CLOSED EXPRESSION FOR THE UNIVERSAL ℛ-MATRIX IN A NON-STANDARD QUANTUM DOUBLE
• IRREDUCIBLE REPRESENTATIONS OF JORDANIAN QUANTUM ALGEBRA U_h(sl(2)) VIA A NONLINEAR MAP
• The quantum group GL_h(2)
• Heisenberg spin chains based on \(\text{sl}(2|1)\) symmetry
• Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables
• Universal \(R\)-matrix as integral operator