Topological order in the color-flavor locked phase of - PowerPoint PPT Presentation

Topological order in the color-flavor locked phase of (3+1)-dimensional U ( N ) gauge-Higgs system Ryo Yokokura (KEK) 2019. 8. 19 Strings and Fields 2019 @ YITP Based on Y. Hidaka, Y Hirono, M. Nitta, Y. Tanizaki, RY, 1903.06389

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1 Introduction 2 Topological order in Abelian Higgs model 3 Topological order in CFL phase of U ( N ) gauge-Higgs system

Higgs phase of gauge theories • Massive gauge fields • Some Nambu–Goldstone (NG) bosons are eaten • Admitting extended objects e.g. vortex • Vortex in many contexts: • magnetic vortex in superconductor (SC), • (local) cosmic strings in cosmology Higgs phases can be further classified by “topological order”

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Topological order & p -form symmetry [ Banks & Seiberg ’10; Kapustin & Seiberg ’14; Gaiotto et al. 14 ] Topologically ordered phase can be characterized by 1. p -form symmetry and their breaking 2. Fractional linking phases between non-local operators In this talk, we consider the possibility of topologicaly ordered phase in 3 + 1 dim. non-Abelian gauge theories in order to understand phases of non-Abelian gauge theories.

Topological order in Abelian Higgs model Review based on Hansson, et al. 04,; Banks & Seiberg ’10; Seiberg & Kapustin ’14; Gaiotto, et al. ’14