7 papers
Exactly Solvable 1+1d Chiral Lattice Gauge Theories
Sahand Seifnashri
Using the modified Villain lattice Hamiltonian formulation of the 1+1d compact boson theory, we construct exactly solvable abelian chiral lattice gauge theories in two spacetime di…
Lattice chiral symmetry from bosons in 3+1d
Zhiyao Lu, Sahand Seifnashri, Shu-Heng Shao
We present a solvable Hamiltonian that realizes an exact lattice chiral symmetry. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rat…
Symmetry Transmutation and Anomaly Matching
Nathan Seiberg, Sahand Seifnashri
We explore a situation where a global symmetry of the ultraviolet (UV) theory does not act faithfully on the local infrared (IR) degrees of freedom, but instead acts effectively as…
Gauging non-invertible symmetries on the lattice
Sahand Seifnashri, Shu-Heng Shao, Xinping Yang
We provide a general prescription for gauging finite non-invertible symmetries in 1+1d lattice Hamiltonian systems. Our primary example is the Rep(D) fusion category generated…
Cluster state as a non-invertible symmetry protected topological phase
Sahand Seifnashri, Shu-Heng Shao
We show that the standard 1+1d cluster model has a non-invertible global symmetry, described by the fusion category Rep(D). Therefore, the clu…
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+…