67 citations · 183 across the 16 of their papers we have counts for
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Fermionic Villain model with exact lattice chiral symmetries
Zhiyao Lu, Shu-Heng Shao
We present a fermionic lattice Hamiltonian that exactly realizes the global symmetry and the associated chiral anomalies o…
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…
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…
Disjoint additivity and local quantum physics
Daniel Harlow, Shu-Heng Shao, Jonathan Sorce +1
Quantum systems of physical interest are often local, but there are at least three competing perspectives on how "locality" should be formalized: an algebraic framework, a path-int…
Where Non-Invertible Symmetries End: Twist Defects for Electromagnetic Duality
Shu-Heng Shao, Siwei Zhong
We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topologic…
Additivity, Haag duality, and non-invertible symmetries
Shu-Heng Shao, Jonathan Sorce, Manu Srivastava
The algebraic approach to quantum field theory focuses on the properties of local algebras, whereas the study of (possibly non-invertible) global symmetries emphasizes global aspec…
Quantized axial charge of staggered fermions and the chiral anomaly
Arkya Chatterjee, Salvatore D. Pace, Shu-Heng Shao
In the 1+1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional Hilbert space, there are two conserved, integer-valued charges that flow in the continu…