85 citations · 304 across the 12 of their papers we have counts for
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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…
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 driv…
Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries
Arkya Chatterjee, Ömer 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…
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…
Holographic theory for continuous phase transitions -- the emergence and symmetry protection of gaplessness
Arkya Chatterjee, Xiao-Gang Wen
Two global symmetries are holo-equivalent if their algebras of local symmetric operators are isomorphic. Holo-equivalent classes of global symmetries are classified by gappable-bou…
Symmetry as a shadow of topological order and a derivation of topological holographic principle
Arkya Chatterjee, Xiao-Gang Wen
Symmetry is usually defined via transformations described by a (higher) group. But a symmetry really corresponds to an algebra of local symmetric operators, which directly constrai…