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Analytic Bethe ansatz related to the Lie superalgebra C(s)

By Zengo Tsuboi

Abstract

An analytic Bethe ansatz is carried out related to the type 1 Lie superalgebra C(s). We present eigenvalue formulae of transfer matrices in dressed vacuum form (DVF) labeled by Young superdiagrams with one row or one column. We also propose an DVF related to a one parameter family of finite dimensional irreducible representations. A class of transfer matrix functional relations among these formulae is discussed.Comment: 46 page

Topics: Mathematical Physics, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory
Publisher: 'Elsevier BV'
Year: 2009
DOI identifier: 10.1016/S0378-4371(98)00673-6
OAI identifier: oai:arXiv.org:0911.5390

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