Reflection matrices for integrable N = 1 supersymmetric theories |
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| Affiliation: | 1. Applied Biotechnology and Engineering Laboratory, Department of Electrical Engineering, Higher Technical Teachers, Training College (HTTTC) of EBOLOWA, University of Yaounde I. P.O. Box 886 EBOLOWA, Cameroon;2. Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon;3. Department of Physics, Islamic University of Gaza, P.O.Box 108 Gaza city, Palestine;4. Higher Teacher Training College of Yaounde, University of Yaounde I P.O. Box 47 Yaounde, Cameroon |
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| Abstract: | 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 [Phys. Lett. B 359 (1995) 118]. |
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