Algebraic Bethe ansatz for gl(2, 1) invariant 36-vertex models |
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Affiliation: | 1. National Research University Higher School of Economics, International Laboratory of Representation Theory and Mathematical Physics, Myasnitskaya ul., 20, Moscow, 101000, Russia;2. Department of Mathematics, Rikkyo University, Toshima-ku, Tokyo 171-8501, Japan;3. Institute for Liberal Arts and Sciences, Kyoto University, Kyoto 606-8316, Japan;4. Department of Mathematics, Indiana University-Purdue University-Indianapolis, 402 N.Blackford St., LD 270, Indianapolis, IN 46202, USA;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: | Four-dimensional irreducible representations of the superalgebra gl(2, 1) carry a freee parameter. We compute the spectra of the corresponding transfer matrices by means of the nested algebraic Bethe ansatz together with a generalized fusion procedure. |
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