Speaker
Yui Hayashi
(UTokyo)
Description
The mechanism of confinement is conventionally understood through the proliferation of monopoles or center vortices. We propose gauge-invariant criteria for center-vortex and monopole condensations using the $\mathbb{Z}_N$ 1-form symmetry twisted partition functions. Based on this formulation, we show that center-vortex condensation requires monopole condensation in gapped systems with locality. Based on arXiv:2606.17708 with Yuya Tanizaki.