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Spectrum of boundary states in N=1 SUSY sine-Gordon theory
Affiliation:1. School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran;2. Laboratoire de Mathématiques et Physique Théorique CNRS-UMR 7350, Fédération Denis Poisson, Université François-Rabelais Tours, Parc de Grandmont, 37200 Tours, France;1. Eurasian International Center for Theoretical Physics and Department of General and Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan;2. Department of Physics, Boston University, 590 Commonwealth Ave., Boston, MA 02215, USA;3. Department of Physics, Isfahan University of Technology, Isfahan 84156-83111, Iran;1. I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute, Leninsky ave. 53, 119991 Moscow, Russia;2. Moscow Institute of Physics and Technology, Dolgoprudnyi, 141700 Moscow region, Russia;3. Department of Quantum Physics, Institute for Information Transmission Problems, Bolshoy Karetny per. 19, 127994 Moscow, Russia
Abstract:We consider N=1 supersymmetric sine-Gordon theory (SSG) with supersymmetric integrable boundary conditions (boundary SSG=BSSG). We find two possible ways to close the boundary bootstrap for this model, corresponding to two different choices for the boundary supercharge. We argue that these two bootstrap solutions should correspond to the two integrable Lagrangian boundary theories considered recently by Nepomechie.
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