Superconformal defects in the tricritical Ising model

Abstract

We study superconformal defect lines in the tricritical Ising model in 2 dimensions. By the folding trick, a superconformal defect is mapped to a superconformal boundary of the N=1 superconformal unitary minimal model of c=7/5 with D_6-E_6 modular invariant. It turns out that the complete set of the boundary states of c=7/5 D_6-E_6 model cannot be interpreted as the consistent set of superconformal defects in the tricritical Ising model since it does not contain the "no defect" boundary state. Instead, we find a set of 18 consistent superconformal defects including "no defect" and satisfying the Cardy condition. This set also includes some defects which are not purely transmissive or purely reflective.

25 pages, 3 figures. v2: typos corrected. v3: clarification about spin structure aligned theory added, references added

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Cited by in corpus (10)

• Entanglement through conformal interfaces
• Entanglement entropy at holographic interfaces
• Defects in the Tri-critical Ising model
• Defect loops in gauged Wess-Zumino-Witten models
• Fermionization of conformal boundary states
• On supersymmetric interfaces for string theory
• Conformal Defects from String Field Theory
• The reflection coefficient for minimal model conformal defects from perturbation theory
• Holographic dual of defect CFT with corner contributions
• Defects and Perturbation