Unifying structures in quantum integrable systems

Details Unifying structures in quantum integrable systems Unifying structures in quantum integrable systems

1997-10-23

arxiv.org/abs/solv-int/9710018v1

Indian J. Phys. 72B (1998) 283-299

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 18 pages, no figure (Invited review article by Indian J.Phys.)

Scientific paper

Basic concepts of quantum integrable systems (QIS) are presented stressing on the unifying structures underlying such diverse models. Variety of ultralocal and nonultralocal models is shown to be described by a few basic relations defining novel algebraic entries. Such properties can generate and classify integrable models systematically and also help to solve exactly their eigenvalue problem in an almost model-independent way. The unifying thread stretches also beyond the QIS to establish its deep connections with statistical models, conformal field theory etc. as well as with abstract mathematical objects like quantum group, braided or quadratic algebra

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