Universal R operator with Jordanian deformation of conformal symmetry

Details Universal R operator with Jordanian deformation of conformal symmetry Universal R operator with Jordanian deformation of conformal symmetry

2003-10-15

arxiv.org/abs/nlin/0310019v2

Nucl.Phys. B681 (2004) 295-323

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages LaTex, added references

Scientific paper

10.1016/j.nuclphysb.2003.12.009

The Jordanian deformation of $sl(2)$ bi-algebra 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.

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