N-points correlator for the Gaudin's model realization of a Quantum Hall Fluid

Abstract

We study the Gaudin's model realization of a incompressible quantum Hall fluid on torus. We solve the model using the so called off-shell algebraic Bethe ansatz for a general spin representation. The n-points correlators also was computed as a solution of the Kznihik-Zamolodchikov equations. This explore a possible connection between low energy D-brane physics with the low dimension integrable models.