Reflection Matrices for Integrable $N=1$ Supersymmetric Theories

Details Reflection Matrices for Integrable $N=1$ Supersymmetric Theories Reflection Matrices for Integrable $N=1$ Supersymmetric Theories

1996-05-30

arxiv.org/abs/hep-th/9605219v1

Nucl.Phys. B487 (1997) 756-778

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Revtex, 4 figures

Scientific paper

10.1016/S0550-3213(96)00632-3

We study two-dimensional integrable $N=1$ supersymmetric theories (without topological charges) in the presence of a boundary. We find a universal ratio between the reflection amplitudes for particles that are related by supersymmetry and we propose exact reflection matrices for the supersymmetric extensions of the multi-component Yang-Lee models and for the breather multiplets of the supersymmetric sine-Gordon theory. We point out the connection between our reflection matrices and the classical boundary actions for the supersymmetric sine-Gordon theory as constructed by Inami, Odake and Zhang \cite{IOZ}.

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