Seminar detail: Wilson-'t Hooft classification of confinement phases and 1-form global symmetry

Date&Time	Mon Apr 27 2026 (13:00 - 14:00)
Speaker	Yuya Tanizaki
Affiliation	YITP, Kyoto U
Title	Wilson-'t Hooft classification of confinement phases and 1-form global symmetry
Abstract	In the 70's, 't Hooft proposed to classify the various types of confinement phases using the low-energy behaviors of the Wilson and 't Hooft loop operators. In this seminar, we first clarify its connection with the modern classification based on the 1-form global symmetry for the Yang-Mills theory. After giving the formal argument for the equivalence between these classifications, we give its explicit confirmation by using the semiclassical description of confinement phases on R3xS1 with the center-stabilizing deformation. We will see that only after dressing the 't Hooft loop with twist vortex operators, we can find the correct perimeter-law behaviors for the dyonic loop observables. We also discuss the connection between the domain walls of the high-temperature deconfinement phases and dyonic loop operators.
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