# Chiral Gravitons in Fractional Quantum Hall Liquids

## TL;DR

This paper reveals that fractional quantum Hall liquids host chiral graviton excitations, which are neutral collective modes linked to internal metric fluctuations, potentially detectable through gravitational wave analogs.

## Contribution

It demonstrates that these neutral excitations are chiral gravitons with angular momentum 2, providing a new understanding of quantum geometry in fractional quantum Hall systems.

## Key findings

- Chiral gravitons are neutral collective excitations in fractional quantum Hall liquids.
- These excitations carry angular momentum 2 and are linked to internal metric fluctuations.
- Resonance peaks in system response suggest potential experimental detection of these gravitons.

## Abstract

We elucidate the nature of neutral collective excitations of fractional quantum Hall liquids in the long-wavelength limit. We demonstrate that they are chiral gravitons carrying angular momentum - 2, which are quanta of quantum motion of an internal metric, and show up as resonance peaks in the systems response to what is the fractional Hall analog of gravitational waves. Relation with existing and possible future experimental work that can detect these fractional quantum Hall gravitons and reveal their chirality are discussed.