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Mathematics Research Report CMA-MRR78-94

Excitation Spectra Of Spin Models Constructed From Quantized Affine Algebras Of Type B(1)n, D(1)n

Brian Davies and Masato Okado

Abstract: The energy and momentum spectrum of the spin models constructed from the vector representation of the quantized affine algebras of type B(1)n and D(1)n are computed using the approach of Davies et al. [1]. The results are for the anti-ferromagnetic (massive) regime, and they agree with the mass spectrum found from the factorized S-matrix theory by Ogievetsky et al. [2]. The other new result is the explicit realization of the fusion construction for the quantized affine algebras of type B(1)n and D(1)n.


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