Sequential Bethe vectors and the quantum Ernst system

Details Sequential Bethe vectors and the quantum Ernst system Sequential Bethe vectors and the quantum Ernst system

2000-08-07

arxiv.org/abs/math-ph/0008016v1

Czech.J.Phys. 50 (2000) 1317-1322

Physics

Mathematical Physics

6 pages. LaTeX, presented at the 9th Colloquium ``Quantum groups and integrable systems'', Prague, 22--24 June 2000

Scientific paper

10.1023/A:1022881528752

We give a brief review on the use of Bethe ansatz techniques to construct solutions of recursive functional equations which emerged in a bootstrap approach to the quantum Ernst system. The construction involves two particular limits of a rational Bethe ansatz system with complex inhomogeneities. First, we pinch two insertions to the critical value. This links Bethe systems with different number of insertions and leads to the concept of sequential Bethe vectors. Second, we study the semiclassical limit of the system in which the scale parameter of the insertions tends to infinity.

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