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

TL;DR

This paper investigates the Gaudin model realization of quantum Hall fluids on a torus, solving it with algebraic Bethe ansatz and computing n-point correlators via KZ equations, exploring links to D-brane physics.

Contribution

It introduces a novel application of algebraic Bethe ansatz to the Gaudin model in quantum Hall systems and computes correlators using KZ equations.

Findings

Explicit solutions for the Gaudin model on a torus.

Calculation of n-point correlators using KZ equations.

Potential connections between quantum Hall physics and D-brane models.

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.