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.

The paper has been withdraw by the author because a new version is been written to better emphasize in this review the use of the off-shell Bethe ansatz approach to obtain solutions of the KZ equation in a more easy way than the approach used in Hou et all(arXiv:hep-th/0210173)