N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory

摘要

Boundary integrable models with N = 2 supersymmetry are considered. For the simplest boundary N = 2 superconformal minimal model with a Chebyshev bulk perturbation we show explicitly how fermionic boundary degrees of freedom arise naturally in the boundary perturbation in order to maintain integrability and N = 2 supersymmetry. A new boundary reflection matrix is obtained for this model and N = 2 boundary superalgebra is studied. A factorized scattering theory is proposed for a N = 2 supersymmetric extension of the boundary sine-Gordon model with either (i) fermionic or (ii) bosonic and fermionic boundary degrees of freedom. Exact results are obtained for some quantum impurity problems: the boundary scaling Lee-Yang model, a massive deformation of the anisotropic Kondo model at the filling values g = 2/(2n + 3) and the boundary Ashkin-Teller model. (C) 2003 Elsevier B.V. All rights reserved. [References: 73]