An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic entanglement with generally complex effective central charge.
Defect Lines in the Ising Model and Boundary States on Orbifolds
5 Pith papers cite this work, alongside 95 external citations. Polarity classification is still indexing.
5
Pith papers citing it
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external citations · Pith
abstract
Critical phenomena in the two-dimensional Ising model with a defect line are studied using boundary conformal field theory on the $c=1$ orbifold. Novel features of the boundary states arising from the orbifold structure, including continuously varying boundary critical exponents, are elucidated. New features of the Ising defect problem are obtained including a novel universality class of defect lines and the universal boundary to bulk crossover of the spin correlation function.
years
2026 5representative citing papers
String order parameters in 1D gapped phases with invertible or non-invertible symmetries organize into Lagrangian algebras in the Drinfel'd centre via tensor-network module categories.
A new TIM/Ising conformal interface is identified with emergent W3 symmetry, yielding defect spectrum predictions for Rydberg atom experiments.
Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.
Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.
citing papers explorer
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Exactly solvable non-unitary conformal interfaces in unitary CFTs
An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic entanglement with generally complex effective central charge.
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Algebras of order parameters in one-dimensional spin systems
String order parameters in 1D gapped phases with invertible or non-invertible symmetries organize into Lagrangian algebras in the Drinfel'd centre via tensor-network module categories.
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A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms
A new TIM/Ising conformal interface is identified with emergent W3 symmetry, yielding defect spectrum predictions for Rydberg atom experiments.
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Complex Conformal Manifolds
Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.
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Fusion of Integrable Defects and the Defect $g$-Function
Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.