Topological order in the color-flavor locked phase of a (3+1)-dimensional U(N) gauge-Higgs system

2019/03/31 by Yoshimasa Hidaka, Yuji Hirono, Muneto Nitta +2 · 35 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Gauge theory #Geometry #Mathematical physics #Mathematics #Order (exchange) #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Scalar (mathematics) #Symmetry (geometry) #Topology (electrical circuits) #hep-th

paper · pdf · doi:10.1103/physrevd.100.125016

published in Physical review. D/Physical review. D. 100(12) (American Physical Society) · v1: 25 pages, 3 figures; v2: 30 pages, 3 figures, discussion including a theta term and references added, published version

openalex created_date 2019/03/22 · openalex publication_date 2019/12/18 · arxiv created 2019/12/23 · arxiv updated 2019/12/25 · openalex updated_date 2026/08/05

Abstract

We study a (3+1)-dimensional U(N) gauge theory with N-flavor fundamental scalar fields, whose color-flavor locked (CFL) phase has topologically stable non-Abelian vortices. The U(1) charge of the scalar fields must be Nk+1 for some integer k in order for them to be in the representation of U(N) gauge group. This theory has a ℤ_Nk+1 one-form symmetry, and it is spontaneously broken in the CFL phase, i.e., the CFL phase is topologically ordered if k\ensuremath≠0. We also find that the world sheet of topologically stable vortices in CFL phase can generate this one-form symmetry.

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