8 papers
Non-Invertible Interfaces Between Symmetry-Enriched Critical Phases
Saranesh Prembabu, Shu-Heng Shao, Ruben Verresen
Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does…
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…
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…
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…
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…