Supersymmetric, Integrable Boundary Field Theories

Details Supersymmetric, Integrable Boundary Field Theories Supersymmetric, Integrable Boundary Field Theories

1995-12-22

arxiv.org/abs/hep-th/9512183v1

Nucl.Phys.Proc.Suppl.45A:154-163,1996

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex with espcrc2.tex/espcrc2.sty Contribution to the proceedings of the ICTP workshop on Recent Developments in St

Scientific paper

Quantum integrable models that possess $N=2$ supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some $N=2$ supersymmetric boundary integrable models, and the effective boundary Landau-Ginzburg actions are constructed. It is found that $N=2$ supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary bosonic potential is $|W|^2$, where $W$ is the bulk superpotential. Supersymmetry is also discussed from the perspective of the affine quantum group symmetry of exact scattering matrices, and exact $N=2$ supersymmetry preserving boundary reflection matrices are described.

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