sl{sub 2} Gaudin model with jordanian twist

Journal Article · Sat Oct 01 00:00:00 EDT 2005 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2036932· OSTI ID:20699510

Cirilo Antonio, N; Manojlovic, N ^[1]

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1. Departamento de Matematica, Instituto Superior Tecnico, UTL, Lisbon (Portugal)

sl{sub 2} Gaudin model with jordanian twist is studied. This system can be obtained as the semiclassical limit of the XXX spin chain deformed by the jordanian twist. The appropriate creation operators that yield the Bethe states of the Gaudin model and consequently its spectrum are defined. Their commutation relations with the generators of the corresponding loop algebra as well as with the generating function of integrals of motion are given. The inner products and norms of Bethe states and the relation to the solutions of the Knizhnik-Zamolodchikov equations are discussed.

• OSTI ID: 20699510
• Journal Information: Journal of Mathematical Physics, Vol. 46, Issue 10; Other Information: DOI: 10.1063/1.2036932; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMMUTATION RELATIONS
CREATION OPERATORS
EQUATIONS OF MOTION
INTEGRALS
LATTICE FIELD THEORY
MATHEMATICAL SOLUTIONS
QUANTUM MECHANICS
SEMICLASSICAL APPROXIMATION
SPIN