4 papers
Anomaly-free symmetries with obstructions to gauging and onsiteability
Wilbur Shirley, Carolyn Zhang, Wenjie Ji +1
We present counterexamples to the lore that symmetries that cannot be gauged or made on-site are necessarily anomalous. Specifically, we construct unitary, internal symmetries of t…
Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems
Kyle Kawagoe, Wilbur Shirley
We describe a method for computing the anomaly of any finite unitary symmetry group acting by finite-depth quantum circuits on a two-dimensional lattice system. The anomaly is…
Excitation-detector principle and the algebraic theory of planon-only abelian fracton orders
Evan Wickenden, Wilbur Shirley, Agnès Beaudry +1
We study abelian planon-only fracton orders: a class of three-dimensional (3d) gapped quantum phases in which all fractional excitations are abelian particles restricted to move in…
Disentangling anomaly-free symmetries of quantum spin chains
Sahand Seifnashri, Wilbur Shirley
We clarify the lore that anomaly-free symmetries are either on-site or can be transformed into on-site symmetries. We prove that any finite, internal, anomaly-free symmetry in a 1+…