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Defect Lines in the Ising Model and Boundary States on Orbifolds

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arxiv hep-th/9606177 v2 pith:TAFDWDDL submitted 1996-06-27 hep-th cond-mat

Masaki Oshikawa (1) , Ian Affleck (1 , 2) ((1) Dept. of Physics , Astronomy , UBC (2) CIAR , UBC) This is my paper · ORCID
classification hep-thcond-mat
keywords boundarydefectisingcriticalfeaturesincludinglinesmodel
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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.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 95 citations worldwide. Full citation record

  1. Ising the way into de Sitter

    hep-th 2026-07 conditional novelty 8.0 of 10

    The two-dimensional thermal Ising model on de Sitter provides exact cosmological correlators that stay finite at late times, with perturbative secular logarithms resummed into principal-series oscillations.

  2. Exactly solvable non-unitary conformal interfaces in unitary CFTs

    cond-mat.stat-mech 2026-06 unverdicted novelty 7.0 of 10

    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 ent...

  3. Complex Conformal Manifolds

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.

  4. Algebras of order parameters in one-dimensional spin systems

    cond-mat.str-el 2026-05 unverdicted novelty 7.0 of 10

    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.

  5. A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    A new TIM/Ising conformal interface is identified with emergent W3 symmetry, yielding defect spectrum predictions for Rydberg atom experiments.

  6. Nonrenormalization Theorem for ${\cal N}=(4,4)$ Interface Entropy

    hep-th 2025-02 conditional novelty 6.0 of 10

    Interface entropy for half-BPS interfaces in N=(4,4) 2D CFTs is given by the Kähler diastasis and is invariant under conformal manifold isometries, yielding a non-renormalization theorem.

  7. Fusion of Integrable Defects and the Defect $g$-Function

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    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.

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