Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions |
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| Affiliation: | 1. CCAST (World Laboratory), P.O. Box 8730, Beijing 100 080, China;2. Institute of Modern Physics, Northwest University, P.O. Box 105, Xian 710 069, China;3. Graduate School of Academia Sinica, P.O. Box 3908, Beijing 100 039, China;1. Moscow Institute of Physics and Technology, Inststitutskii per. 9, Dolgoprudny, Moscow region, 141700, Russian Federation;2. ITEP, B.Cheremushkinskaya 25, Moscow 117218, Russian Federation;3. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow, Russian Federation;4. Skolkovo Institute of Science and Technology, 143026 Moscow, Russian Federation;5. National Research University Higher School of Economics, Russian Federation;6. Institute of Biochemical Physics of Russian Academy of Sciences, Kosygina str. 4, 119334, Moscow, Russian Federation;1. MIPT, Inststitutskii per. 9, 141700, Dolgoprudny, Moscow region, Russia;2. National Research University Higher School of Economics, Myasnitskaya str. 20, 101000, Moscow, Russia;3. BITP, Metrolohichna str. 14-b, 03680, Kiev, Ukraine;4. ITEP, Bolshaya Cheremushkinskaya str. 25, 117218, Moscow, Russia;5. Institute of Biochemical Physics, Kosygina str. 4, 119991, Moscow, Russia;6. Steklov Mathematical Institute, RAS, Gubkina str. 8, 119991, Moscow, Russia;1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;2. Department of Physics, Fudan University, Shanghai 200433, China;1. Institute of Physics, University of Tokyo, Komaba, Tokyo 153-8902, Japan;2. Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, F-91191 Gif-sur-Yvette, France;1. National Research University Higher School of Economics, Russian Federation;2. Skolkovo Institute of Science and Technology, 143026 Moscow, Russian Federation;3. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991 Moscow, Russian Federation;4. ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russian Federation;5. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow Region 141700, Russian Federation |
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| Abstract: | By using the intertwiner and face-vertex correspondence relation, we obtain the Bethe ansatz equation of the eight-vertex model with open boundary conditions in the framework of algebraic Bethe ansatz method. The open boundary condition under consideration is the general solution of the reflection equation for the eight-vertex model with only one restriction on the free parameters of the right side reflecting boundary matrix. The reflecting boundary matrices used in this paper thus may have off-diagonal elements. Our construction can also be used for the Bethe ansatz of SOS model with reflection boundaries. |
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