The scaling supersymmetric Yang-Lee model with boundary

Details The scaling supersymmetric Yang-Lee model with boundary The scaling supersymmetric Yang-Lee model with boundary

2000-09-29

arxiv.org/abs/hep-th/0009250v2

Nucl.Phys. B594 (2001) 660-684

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(00)00668-4

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.

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