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Résumé |
I will discuss a construction of the U(1) level-k Chern-Simons theory on the
lattice which has a correct level quantization, and a correct 1-form global
symmetry with the expected ’t Hooft anomaly. The crucial component of the
construction is the so-called modified Villain construction of abelian gauge
theories. The theory has a peculiar subsystem symmetry which projects out all
naive Wilson loops. However the correct topological charges of the 1-form
symmetry
are not Wilson loops, but strips, or framed Wilson loops. This is as one expects
from a lattice regularization of the CS theory. |
