N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory |
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| Institution: | 1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan;2. Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan;1. Department of Communications, University of Campinas, 400 Albert Einstein Campinas, São Paulo, 13083852, Brazil;2. Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA, 92182-7720, United States;1. Dipartimento di Fisica, Università della Calabria, Arcavacata di Rende I-87036, Cosenza, Italy;2. INFN, Gruppo collegato di Cosenza, Arcavacata di Rende I-87036, Cosenza, Italy;3. International Institute of Physics, Universidade Federal do Rio Grande do Norte, 59078-400 Natal, RN, Brazil;4. Departemento de Física Teorica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970 Natal, RN, Brazil;5. Dipartimento di Fisica, Università di Napoli “Federico II”, Monte S. Angelo-Via Cintia, I-80126 Napoli, Italy;6. CNR-SPIN, Monte S. Angelo-Via Cintia, I-80126 Napoli, Italy;7. CNR-IOM DEMOCRITOS Simulation Center, Via Bonomea 265, I-34136 Trieste, Italy;8. SISSA and INFN, Sezione di Trieste, Via Bonomea 265, I-34136 Trieste, Italy;1. Dipartimento di Fisica, Università della Calabria, Arcavacata di Rende I-87036, Cosenza, Italy;2. INFN, Gruppo collegato di Cosenza, Arcavacata di Rende, I-87036, Cosenza, Italy;3. Department of Physics and Astronomy and Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, B.C., Canada, V6T, 1Z1 |
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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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