The scaling supersymmetric Yang-Lee model with boundary

Changrim Ahn, Rafael I. Nepomechie

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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 languageEnglish
Pages (from-to)660-684
Number of pages25
JournalNuclear Physics, Section B
Issue number3
StatePublished - 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.).


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