3D Higher spin gravity and the fractional quantum Hall effect

Abstract

This article is based on the talk “Fractional Spin Gravity” presented at the 31st International Colloquium on Group Theoretical Methods in Physics, Rio de Janeiro 19-25 June 2016. There we emphasised a direct implication of the works by N. Boulanger, P. Sundell and the author on fractional spin extensions of 3D higher spin gravity [1,2]. This is that higher spin gravity may govern interactions of anyons in the fractional quantum Hall effect. More generally we suggest here also that fractional spin states of matter in 2+1 interact with their background geometry by means of higher spin gravity.