Solvable Gaudin models for higher rank symplectic algebras

Authors
Wagner, F Macfarlane, AJ
Citation
F. Wagner et Aj. Macfarlane, Solvable Gaudin models for higher rank symplectic algebras, CZEC J PHYS, 50(11), 2000, pp. 1371-1377
Citations number
18
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
50
Issue
11
Year of publication
2000
Pages
1371 - 1377
Database
ISI
SICI code
0011-4626(200011)50:11<1371:SGMFHR>2.0.ZU;2-V
Abstract
We study generalisations of the XXX-model to higher rank underlying symplec tic algebras in the semi-classical approximation. With the help of the meta plectic representation of sp(2n, R) we establish general results that are u seful in the analysis of these algebras, and hence solve the algebraic Beth e ansatz explicitly in this representation. The su(n) multiplet structure o f the Bethe eigenstates is revealed.