Collective excitations at filling factor 5/2: The view from superspace

TL;DR

This paper develops a microscopic theory for neutral collective excitations in non-Abelian fractional quantum Hall states at filling factor 5/2, focusing on GMP modes and their fermionic counterparts, revealing their superpartner relationship.

Contribution

It introduces a detailed microscopic framework describing the neutral collective modes and their superpartner relationship in the 5/2 fractional quantum Hall state.

Findings

Identification of GMP and fermionic modes as superpartners

Microscopic description of neutral collective excitations

Insights into the structure of non-Abelian quantum Hall states

Abstract

We present a microscopic theory of the neutral collective modes supported by the non-Abelian fractional quantum Hall states at filling factor 5/2. The theory is formulated in terms of the trial states describing the Girvin-MacDonald-Platzman (GMP) mode and its fermionic counterpart. These modes are superpartners of each other in a concrete sense, which we elucidate.