Hall Droplet Sheets in Holographic QCD

In single-flavor QCD, the low energy description of baryons as Skyrmions is not available. In this case, it has been proposed by Komargodski that baryons can be viewed as kinds of charged quantum Hall droplets, or sheets. In this paper we propose a string theory description of the sheets in single-flavor holographic QCD, focusing on the Witten-Sakai-Sugimoto model. The sheets have a hard gluonic core, described by D6-branes, and a soft mesonic shell, dual to non-trivial D8-brane gauge field configurations. We first provide the description of an infinitely extended sheet with massless or moderately massive quarks. Then, we construct a semi-infinite sheet ending on a one-dimensional boundary, a vortex string. The holographic description allows for the precise calculation of sheet observables. In particular, we compute the tension and thickness of the sheet and the vortex string, and provide their four dimensional effective actions.

Automated summary

In this paper, a string theory description of baryonic sheets in single-flavor holographic QCD is proposed. The sheets consist of a hard gluonic core, described by D6-branes, and a soft mesonic shell, dual to non-trivial D8-brane gauge field configurations. The holographic description allows for precise calculation of sheet observables including the tension, thickness, and four-dimensional effective actions.