The excitations of the sympletic integrable models and their applications

Details The excitations of the sympletic integrable models and their applications The excitations of the sympletic integrable models and their applications

2000-12-09

arxiv.org/abs/cond-mat/0012159v1

J.Phys. A35 (2002) L261

Physics

Condensed Matter

Statistical Mechanics

latex, 10 pages

Scientific paper

10.1088/0305-4470/35/19/103

The Bethe ansatz equations of the fundamental Sp(2N) integrable model are solved by a peculiar configuration of roots leading us to determine the nature of the excitations. They consist of N elementary generalized spinons and N-1 composite excitations made by special convolutions between the spinons. This fact is essential to determine the low-energy behaviour which is argued to be described in terms of 2N Majorana fermions. Our results have practical applications to spin-orbital systems and also shed new light to the connection between integrable models and Wess-Zumino-Witten field theories.

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