Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle

Abstract

We show that the recent proposal to describe the $N_f=1$ baryon in the large number of color limit as a quantum Hall droplet, can be understood as a chiral bag in a 1+2 dimensional strip using the Cheshire cat principle. For a small bag radius, the bag reduces to a vortex line which is the smile of the cat with flowing gapless quarks all spinning in the same direction. The disc enclosed by the smile is described by a topological field theory due to the Callan-Harvey anomaly out-flow. The chiral bag carries naturally unit baryon number and spin $\frac{1}{2}{N}_c$. The generalization to arbitrary $N_f$ is discussed.

5 pages, 2 figures

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• Topology and emergent symmetries in dense compact star matter
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• Vector mesons on the wall
• Topology change, emergent symmetries and compact star matter
• Hall Droplet Sheets in Holographic QCD
• Axionic Strings, Domain Walls and Baryons
• Prospects for compact hexaquarks under the limitation imposed by quark confinement
• Quantum Hall liquids in high-density QCD
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter