On Mass Gap in Type IIB Quantum Hall Solitons

TL;DR

This paper explores the mass gap phenomenon in quantum Hall solitons within type IIB superstring theory, using holographic models based on D-brane configurations to relate the mass gap to the filling factor.

Contribution

It introduces two holographic D-brane models for quantum Hall solitons in type IIB superstring theory, linking the mass gap to the filling factor in these systems.

Findings

Mass gap is related to the filling factor in both models.

Holographic models are constructed from D3/D7 and intersecting D5-branes.

The models provide a string theory perspective on quantum Hall phenomena.

Abstract

We discuss the mass gap in quantum Hall solitons (QHS) embedded in superstring theory. In particular, we give two holographic models which are obtained from D-brane configurations in type IIB superstring compactifications. The first one deals with the monolayered system in the D3/D7 brane set up. The second model corresponds to a multilayered system which is described by intersecting D5-branes wrapping a particular set of 3-cycles. In both models, we have shown that the mass gap is related to the filling factor.