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Analytic framework for self-dual criticality in gauge theory with matter
Zhengyan Darius Shi, Arkya Chatterjee
The deconfined phase of 2+1D gauge theory exhibits topological order, with and anyons that have a braiding phase. Proliferating either or dri…
Generalized Kramers-Wannier Self-Duality in Hopf-Ising Models
Da-Chuan Lu, Arkya Chatterjee, Nathanan Tantivasadakarn
The Kramers-Wannier transformation of the 1+1d transverse-field Ising model exchanges the paramagnetic and ferromagnetic phases and, at criticality, manifests as a non-invertible s…
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…
Emergent generalized symmetry and maximal symmetry-topological-order
Arkya Chatterjee, Wenjie Ji, Xiao-Gang Wen
A characteristic property of a gapless liquid state is its emergent symmetry and dual symmetry, associated with the conservation laws of symmetry charges and symmetry defects respe…
Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries
Arkya Chatterjee, Ãmer M. Aksoy, Xiao-Gang Wen
Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particular…