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

P. Baseilhac·K. Koizumi
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Abstract

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.

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P. Baseilhac, K. Koizumi. 2003-08-01. N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory. https://doi.org/10.1016/j.nuclphysb.2003.08.002

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