November 26 - 28, 2004

 

T. Gabor (Budapest):

 

On N=1 Supersymmetric Boundary Bootstrap

 


Abstract:

We investigate the boundary bootstrap programme for finding exact reflection matrices of integrable boundary quantum field theories with N=1 boundary supersymmetry. We give a description of boundary supersymmetry and discuss an ansatz for the construction of supersymmetric scattering theories from non-supersymmetric ones. We present rules by which the supersymmetry representations and reflection factors for excited boundary bound states can be determined, assuming that the bulk particles transform in the kink and boson/fermion representations. These rules can be applied to the boundary sine-Gordon model and to certain boundary affine Toda models.