四次元Z2格子ゲージ理論における非可逆的対称性
Non-invertible Symmetry in 4-Dimensional Z2 Lattice Gauge Theory
Springer Theses
Koide, Masataka
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This book provides a method for concretely constructing defects that represent non-invertible symmetries in four-dimensional lattice gauge theory. In terms of generalized symmetry, a symmetry is considered to be equivalent to a topological operator whose value does not change even if the shape is topologically transformed. Even for models that lack symmetry in the traditional sense and are difficult to analyze, it is possible to analyze them as long as a generalized symmetry exists. Therefore, generalized symmetry is important for the non-perturbative analysis of quantum field theory.