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

Özet

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