Holographic anyonic superfluidity

TL;DR

This paper uses holography to model anyonic superfluidity, revealing a superfluid phase with gapless excitations in a quantum Hall system through alternative quantization of bulk gauge fields.

Contribution

It introduces a holographic model for anyonic superfluidity with a novel quantization scheme, expanding the understanding of quantum Hall states and superfluid phases.

Findings

Identification of a superfluid phase with gapless excitations

Demonstration of a quantum Hall state with various filling fractions

Establishment of a holographic description of anyonic superfluidity

Abstract

Starting with a holographic construction for a fractional quantum Hall state based on the D3-D7' system, we explore alternative quantization conditions for the bulk gauge fields. This gives a description of a quantum Hall state with various filling fractions. For a particular alternative quantization of the bulk gauge fields, we obtain a holographic anyon fluid in a vanishing background magnetic field. We show that this system is a superfluid, exhibiting the relevant gapless excitation.