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arXiv · 2410.07665

Quantum Hall liquids in high-density QCD

Kentaro Nishimura·Naoki Yamamoto·Ryo Yokokura
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Abstract

There exist metastable domain walls of the flavor-singlet meson $\eta$ for the ${\rm U}(1)$ axial symmetry in two-flavor color superconductivity (2SC) in QCD at large baryon density. We show that, due to the coupling of $\eta$ to confined ${\rm SU}(2)$ gluons in the 2SC phase, the effective theory on the domain wall is described by the ${\rm SU}(2)_{-1}$ Chern-Simons theory, which is dual to the ${\rm U}(1)_{2}$ Chern-Simons theory. This theory has a spin-1 droplet excitation that does not carry a baryon number, which we identify as a vector meson. We also discuss the effective theories and baryonic droplet excitations on the domain walls of the flavor-singlet mesons in the superfluid phases of QCD at large isospin density and two-color QCD at large baryon density.

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Kentaro Nishimura, Naoki Yamamoto, Ryo Yokokura. 2024-10-10. Quantum Hall liquids in high-density QCD. https://doi.org/10.1103/physrevd.111.054010

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