3D Higher spin gravity and the fractional quantum Hall effect

TL;DR

This paper explores the potential role of higher spin gravity theories in describing interactions of fractional spin excitations in the quantum Hall effect, suggesting a novel connection between gravity and condensed matter phenomena.

Contribution

It proposes that higher spin gravity may govern fractional spin excitations in the quantum Hall effect, extending previous work on fractional spin extensions of 2+1D higher spin gravity.

Findings

Higher spin gravity may describe fractional spin excitations in quantum Hall systems

Fractional spin currents source higher spin gravity curvatures

The work links gravity theories with condensed matter phenomena

Abstract

This article is based on the talk "Fractional Spin Gravity" presented in the 31st International Colloquium on Group Theoretical Methods in Physics, Rio de Janeiro, 19-25th June 2016. There we emphasised an implication of the works [1,2] by N. Boulanger, P. Sundell and the author on fractional spin extensions of 2+1D higher spin gravity. This is that higher spin gravity may govern interactions of pseudo-particles excitations in the (fractional) quantum Hall effect. More generally, fractional spin currents in 2+1D source higher spin gravity curvatures.