Center-vortex condensation and monopole condensation in 4d gapped phases
- Date
- July 27 (Mon) 14:00 - 15:30, 2026 (JST)
- Speaker
-
- Yui Hayashi (JSPS Postdoctoral Research Fellow, Yukawa Institute for Theoretical Physics, Kyoto University)
- Language
- English
- Host
- Álvaro Pastor Gutiérrez
Two well-known scenarios for quark confinement are center-vortex proliferation and monopole condensation. We consider gauge-invariant criteria for center-vortex condensation and monopole condensation in terms of Z(N) 1-form symmetry. The condensation of a soliton can be characterized by the non-suppression of the partition function with a proper twisted boundary condition, and we utilize this idea for these criteria. With these definitions, we show that gapped phases with the center-vortex condensation necessarily exhibit the monopole condensation.
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