Universal \(R\) operator with Jordanian deformation of conformal symmetry. (English) Zbl 1097.17505
Summary: The Jordanian deformation of \(sl(2)\) bialgebra structure is studied in view of physical applications to breaking of conformal symmetry in the high energy asymptotics of scattering. Representations are formulated in terms of polynomials, generators in terms of differential operators. The deformed \(R\) operator with generic representations is analyzed in spectral and integral forms.
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 17B81 | Applications of Lie (super)algebras to physics, etc. |
| 81U99 | Quantum scattering theory |
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