Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
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6 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 6representative citing papers
Exact transfer-matrix solution for a C3-symmetric three-chain Ising tube with general multispin interactions, giving free energy, specific heat, magnetization, and pair correlations in the thermodynamic limit.
The peak-valley mechanism organizes strong Hilbert space fragmentation in 1D spin chains by assigning emergent good quantum numbers to the heights and depths of peaks and valleys.
Gauging and duality transformations are equivalent up to constant depth quantum circuits in one-dimensional quantum lattice models, demonstrated via matrix product operators.
Proposes global fluid-lattice gas isomorphism via symmetry-restoring order parameter and applies it to 2D liquid-vapor binodals.
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
citing papers explorer
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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
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Exact solution and pair correlation functions for a generalized three-chain Ising tube with multispin interactions
Exact transfer-matrix solution for a C3-symmetric three-chain Ising tube with general multispin interactions, giving free energy, specific heat, magnetization, and pair correlations in the thermodynamic limit.
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Peak-valley mechanism for Hilbert space fragmentation
The peak-valley mechanism organizes strong Hilbert space fragmentation in 1D spin chains by assigning emergent good quantum numbers to the heights and depths of peaks and valleys.
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From gauging to duality in one-dimensional quantum lattice models
Gauging and duality transformations are equivalent up to constant depth quantum circuits in one-dimensional quantum lattice models, demonstrated via matrix product operators.
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The fluid-lattice gas isomorphism with application to liquid-vapor equilibrium in physisorbed monolayers
Proposes global fluid-lattice gas isomorphism via symmetry-restoring order parameter and applies it to 2D liquid-vapor binodals.
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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.