9 papers
Infinite-Order Lattice Chiral Anomalies and CPT
Elijah Lew-Smith, Salvatore D. Pace, Shu-Heng Shao
A key property of a global symmetry's anomaly is its order: the smallest integer for which the diagonal symmetry of the -copy system is anomaly-free. While many familiar lat…
Symmetry-Enforced Fermi Surfaces
Minho Luke Kim, Salvatore D. Pace, Shu-Heng Shao
We identify a symmetry that enforces every symmetric model to have a Fermi surface. These symmetry-enforced Fermi surfaces are realizations of a powerful form of symmetry-enforced…
Lieb-Schultz-Mattis constraints from stratified anomalies of modulated symmetries
Salvatore D. Pace, Daniel Bulmash
We introduce stratified symmetry operators and stratified anomalies in quantum lattice systems as generalizations of onsite symmetry operators and onsite projective representations…
Spacetime symmetry-enriched SymTFT: from LSM anomalies to modulated symmetries and beyond
Salvatore D. Pace, Ãmer M. Aksoy, Ho Tat Lam
We extend the Symmetry Topological Field Theory (SymTFT) framework beyond internal symmetries by including geometric data that encode spacetime symmetries. Concretely, we enrich th…
Parity anomaly from LSM: exact valley symmetries on the lattice
Salvatore D. Pace, Minho Luke Kim, Arkya Chatterjee +1
We show that the honeycomb tight-binding model hosts an exact microscopic avatar of its low-energy SU(2) valley symmetry and parity anomaly. Specifically, the SU(2) valley symmetry…
Lattice T-duality from non-invertible symmetries in quantum spin chains
Salvatore D. Pace, Arkya Chatterjee, Shu-Heng Shao
Dualities of quantum field theories are challenging to realize in lattice models of qubits. In this work, we explore one of the simplest dualities, T-duality of the compact boson C…