The scaling supersymmetric Yang-Lee model with boundary

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.

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

References in corpus (3)

• g-function flow in perturbed boundary conformal field theories
• New families of flows between two-dimensional conformal field theories
• Exact solution of the supersymmetric sinh-Gordon model with boundary

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• Supersymmetry in the boundary tricritical Ising field theory
• Ginzburg-Landau Description and Emergent Supersymmetry of the $(3,8)$ Minimal Model
• Is there supersymmetric Lee-Yang fixed point in three dimensions?
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• Boundary S matrices with N=2 supersymmetry
• Boundary renormalisation group flows of the supersymmetric Lee-Yang model and its extensions
• Notes on D-branes and dualities in (p,q) minimal superstring theory