Abstract
We define the scaling supersymmetric Yang-Lee model with boundary as the (1,3) perturbation of the superconformal minimal model SM(2/8) (or equivalently, the (1,5) perturbation of the conformal minimal model M(3/8)) with a certain conformal boundary condition. We propose the corresponding boundary S matrix, which is not diagonal for general values of the boundary parameter. We argue that the model has an integral of motion corresponding to an unbroken supersymmetry, and that the proposed S matrix commutes with a similar quantity. We also show by means of a boundary TBA analysis that the proposed boundary S matrix is consistent with massless flow away from the ultraviolet conformal boundary condition.
| Original language | English |
|---|---|
| Pages (from-to) | 660-684 |
| Number of pages | 25 |
| Journal | Nuclear Physics, Section B |
| Volume | 594 |
| Issue number | 3 |
| DOIs | |
| State | Published - 5 Feb 2001 |
Bibliographical note
Funding Information:We thank O. Alvarez, P. Dorey, D. Kastor, P. Pearce, F. Ravanini, R. Tateo and M. Walton for helpful discussions and/or correspondence. C.A. thanks Università di Bologna and University of Miami for hospitality where part of this work was done. This work was supported in part by KOSEF 1999-2-112-001-5 (C.A.) and by the National Science Foundation under Grant PHY-9870101 (R.N.).