412 citations · 5.4k across the 72 of their papers we have counts for
72 papers
LSM and CPT
Nathan Seiberg, Shu-Heng Shao, Wucheng Zhang
We study a number of 1+1d lattice models with anti-unitary symmetries that simultaneously reflect space and reverse time. Some of these symmetries are anomalous, leading to Lieb-Sc…
Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
Nathan Seiberg, Sahand Seifnashri, Shu-Heng Shao
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defe…
Quantization of Axion-Gauge Couplings and Non-Invertible Higher Symmetries
Yichul Choi, Matthew Forslund, Ho Tat Lam +1
We derive model-independent quantization conditions on the axion couplings (sometimes known as the anomaly coefficients) to the Standard Model gauge group $[SU(3)\times SU(2)\times…
What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
Shu-Heng Shao
We survey recent developments in a novel kind of generalized global symmetry, the non-invertible symmetry, in diverse spacetime dimensions. We start with several different but rela…
Majorana chain and Ising model -- (non-invertible) translations, anomalies, and emanant symmetries
Nathan Seiberg, Shu-Heng Shao
We study the symmetries of closed Majorana chains in 1+1d, including the translation, fermion parity, spatial parity, and time-reversal symmetries. The algebra of the symmetry oper…
Remarks on Boundaries, Anomalies, and Noninvertible Symmetries
Yichul Choi, Brandon C. Rayhaun, Yaman Sanghavi +1
What does it mean for a boundary condition to be symmetric with respect to a non-invertible global symmetry? We discuss two possible definitions in 1+1d. On the one hand, we call a…