Coproduct of SU_q(2), coherent states and four point function with logarithmic Regge trajectories

The representation of the operators belonging to a 2 × 2 SU_q(2) matrix yield a Hilbert space H. The coproducts of these operators define a Hilbert space H⁽²⁾ isomorphic to H and canonically embedded in H ⊗ H. The four-point function obtained by taking the scalar product of the ground state of H⁽²) with the coherent states in H ⊗ H is uniquely defined, is meromorphic and has Regge behaviour.