The `s-rule' exclusion principle and vacuum interpolation in worldvolume dynamics

TL;DR

This paper explores the worldvolume dynamics of D5-branes in a D3 background, illustrating how the `s-rule' exclusion principle manifests classically and analyzing the interpolating geometries involved.

Contribution

It provides a classical realization of the `s-rule' exclusion principle via the worldvolume description of the Hanany-Witten effect in supersymmetric D-brane setups.

Findings

Force on D5-brane vanishes only in the ground state

Ground state interpolates between Minkowski space and $adS_2\times S^4$ geometry

Discussion of M-theory analogue of these results

Abstract

We show how the worldvolume realization of the Hanany-Witten effect for a supersymmetric D5-brane in a D3 background also provides a classical realization of the `s-rule' exclusion principle. Despite the supersymmetry, the force on the D5-brane vanishes only in the D5 `ground state', which is shown to interpolate between 6-dimensional Minkowski space and an $OSp(4^*|4)$-invariant $adS_2\times S^4$ geometry. The M-theory analogue of these results is briefly discussed.