The braiding of chiral vertex operators with continous spins in 2D gravity

Jean-Loup Gervais, Jens Schnittger
1993 Physics Letters B  
Chiral vertex-operators are defined for continuous quantum-group spins J from free-field realizations of the Coulomb-gas type. It is shown that these generalized chiral vertex operators satisfy closed braiding relations on the unit circle, which are given by an extension in terms of orthogonal polynomials of the braiding matrix recently derived by Cremmer, Gervais and Roussel. This leads to a natural extension of the Liouville exponentials to continuous powers that remain local.
doi:10.1016/0370-2693(93)91610-y fatcat:v22ca5diqzdktbcioslaip7gda