Defects in the Tri-critical Ising model

Abstract

We consider two different conformal field theories with central charge c=7/10. One is the diagonal invariant minimal model in which all fields have integer spins; the other is the local fermionic theory with superconformal symmetry in which fields can have half-integer spin. We construct new conformal (but not topological or factorised) defects in the minimal model. We do this by first constructing defects in the fermionic model as boundary conditions in a fermionic theory of central charge c=7/5, using the folding trick as first proposed by Gang and Yamaguchi. We then acting on these with interface defects to find the new conformal defects. As part of the construction, we find the topological defects in the fermionic theory and the interfaces between the fermionic theory and the minimal model. We also consider the simpler case of defects in the theory of a single free fermion and interface defects between the Ising model and a single fermion as a prelude to calculations in the tri-critical Ising model.

arXiv comment54 pages, 5 figures, version as accepted for publication with minor changes

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Cited by in corpus (14)

• Topological Defect Lines in Two Dimensional Fermionic CFTs
• Fermionic CFTs and classifying algebras
• Fermionization of fusion category symmetries in 1+1 dimensions
• Fermionization and boundary states in 1+1 dimensions
• Fermionization of conformal boundary states
• Parity and Spin CFT with boundaries and defects
• Topological Defects in Floquet Circuits
• Duality and Form Factors in the Thermally Deformed Two-Dimensional Tricritical Ising Model
• Lattice Defects in Rydberg Atom Arrays
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Conformal Defects from String Field Theory
• Holographic dual of defect CFT with corner contributions
• The reflection coefficient for minimal model conformal defects from perturbation theory
• Defects and Perturbation