Matrix product state representation of non-Abelian quasiholes

TL;DR

This paper develops a formalism to construct matrix product states for non-Abelian quasiholes in fractional quantum Hall states, enabling efficient wave function representations with proper normalization and monodromy.

Contribution

It introduces a detailed method for representing non-Abelian quasiholes as matrix product states, extending existing techniques for fractional quantum Hall ground states.

Findings

Provides an explicit construction of matrix product states for non-Abelian quasiholes.

Achieves efficient wave function representation with conformal-block normalization.

Ensures correct monodromy properties in the matrix product state formalism.

Abstract

We provide a detailed explanation of the formalism necessary to construct matrix product states for non-Abelian quasiholes in fractional quantum Hall model states. Our construction yields an efficient representation of the wave functions with conformal-block normalization and monodromy, and complements the matrix product state representation of fractional quantum Hall ground states.