pith. the verified trust layer for science. sign in

Boundary conformal field theory approach to the two-dimensional critical Ising model with a defect line

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

We study the critical two-dimensional Ising model with a defect line (altered bond strength along a line) in the continuum limit. By folding the system at the defect line, the problem is mapped to a special case of the critical Ashkin-Teller model, the continuum limit of which is the $Z_2$ orbifold of the free boson, with a boundary. Possible boundary states on the $Z_2$ orbifold theory are explored, and a special case is applied to the Ising defect problem. We find the complete spectrum of boundary operators, exact two-point correlation functions and the universal term in the free energy of the defect line for arbitrary strength of the defect. We also find a new universality class of defect lines. It is conjectured that we have found all the possible universality classes of defect lines in the Ising model. Relative stabilities among the defect universality classes are discussed.

fields

hep-th 4

years

2026 3 2025 1

verdicts

UNVERDICTED 4

representative citing papers

A Twist on Scattering from Defect Anomalies

hep-th · 2026-05-13 · unverdicted · novelty 7.0

Defect 't Hooft anomalies trap charges at symmetry-line junctions and thereby drive categorical scattering into twist operators.

Decoding the string in terms of holographic quantum maps

hep-th · 2025-09-16 · unverdicted · novelty 6.0

Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.

Scattering off Chamblin-Reall Branes

hep-th · 2026-05-14 · unverdicted · novelty 5.0

Holographic analysis of scattering off Chamblin-Reall branes shows that for d>1 incident radiation redistributes into reflected, transmitted, and evanescent components, with d=2 yielding diffuse scattering like a translucent window and d=4 requiring IR regulation.

Defects in N=1 minimal models and RG flows

hep-th · 2026-01-07 · unverdicted · novelty 5.0

Topological defects constrain the allowed RG flows of N=1 superconformal minimal models, first via a bosonic coset description and then for the full superconformal case.

citing papers explorer

Showing 4 of 4 citing papers.

  • A Twist on Scattering from Defect Anomalies hep-th · 2026-05-13 · unverdicted · none · ref 87 · internal anchor

    Defect 't Hooft anomalies trap charges at symmetry-line junctions and thereby drive categorical scattering into twist operators.

  • Decoding the string in terms of holographic quantum maps hep-th · 2025-09-16 · unverdicted · none · ref 15 · internal anchor

    Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.

  • Scattering off Chamblin-Reall Branes hep-th · 2026-05-14 · unverdicted · none · ref 6 · internal anchor

    Holographic analysis of scattering off Chamblin-Reall branes shows that for d>1 incident radiation redistributes into reflected, transmitted, and evanescent components, with d=2 yielding diffuse scattering like a translucent window and d=4 requiring IR regulation.

  • Defects in N=1 minimal models and RG flows hep-th · 2026-01-07 · unverdicted · none · ref 3 · internal anchor

    Topological defects constrain the allowed RG flows of N=1 superconformal minimal models, first via a bosonic coset description and then for the full superconformal case.