Superconformal defects in the tricritical Ising model

TL;DR

This paper classifies superconformal defect lines in the tricritical Ising model by mapping them to boundary states in a related minimal model, identifying 18 consistent defects including the trivial one.

Contribution

It provides a complete set of 18 superconformal defects in the tricritical Ising model, including the trivial defect, using the folding trick and boundary state analysis.

Findings

Identified 18 consistent superconformal defects including 'no defect'

Found some defects are neither purely transmissive nor purely reflective

Mapped defect classification to boundary states in a related minimal 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.