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 Script N = 1 superconformal unitary minimal model of c = 7/5 with D6-E6 modular invariant. It turns out that the complete set of the boundary states of c = 7/5 D6-E6 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.
Journal of High Energy Physics
- Pub Date:
- December 2008
- High Energy Physics - Theory
- 25 pages, 3 figures. v2: typos corrected. v3: clarification about spin structure aligned theory added, references added