Reflection Matrices for Integrable $N=1$ Supersymmetric Theories

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 \cite{IOZ}.

29 pages, Revtex, 4 figures

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• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Bound State Boundary S-matrix of the sine-Gordon Model
• Supersymmetry in Boundary Integrable Models
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Cited by in corpus (13)

• The boundary supersymmetric sine-Gordon model revisited
• Spectrum of boundary states in N=1 SUSY sine-Gordon theory
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Exact solution of the supersymmetric sinh-Gordon model with boundary
• The scaling supersymmetric Yang-Lee model with boundary
• Supersymmetric Sine-Gordon Model and the Eight-Vertex Free Fermion model with Boundary
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• Boundary S matrices with N=2 supersymmetry
• Tricritical Ising Model with a Boundary
• On the perturbative expansion of boundary reflection factors of the supersymmetric sinh-Gordon model
• N=1 Supersymmetric Boundary Bootstrap
• Brick Wall Quantum Circuits with Global Fermionic Symmetry
• Supersymmetric Reflection Matrices