English

The scaling supersymmetric Yang-Lee model with boundary

High Energy Physics - Theory 2009-10-31 v2 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.hep-th/0009250,
  title  = {The scaling supersymmetric Yang-Lee model with boundary},
  author = {Changrim Ahn and Rafael I. Nepomechie},
  journal= {arXiv preprint arXiv:hep-th/0009250},
  year   = {2009}
}

Comments

27 pages, LaTeX, amssymb, epsf, 1 ps figure;v2: 3 references and 2 footnotes added, 1 sentence removed