On the Exact Solution of Models Based¶on Non-Standard Representations |
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Authors: | J Gruneberg |
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Institution: | Institut für Theoretische Physik, Universit?t zu K?ln, Zülpicher Stra?e 77, 50937 K?ln, Germany, DE
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Abstract: | The algebraic Bethe ansatz is a powerful method to diagonalize transfer-matrices of statistical models derived from solutions
of (graded) Yang Baxter equations, connected to fundamental representations of Lie (super-)algebras and their quantum deformations
respectively. It is, however, very difficult to apply it to models based on higher dimensional representations of these algebras
in auxiliary space, which are not of fusion type. A systematic approach to this problem is presented here. It is illustrated
by the diagonalization of a transfer-matrix of a model based on the product of two different four-dimensional representations
of .
Received: 24 November 1998 / Accepted: 26 March 1999 |
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Keywords: | |
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