A B Balantekin et al 2005 J. Phys. A: Math. Gen. 38 5697 doi:10.1088/0305-4470/38/25/007
A B Balantekin1, T Dereli2 and Y Pehlivan3
Show affiliationsThree well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions, we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite-dimensional complex Lie algebra.
22E65 Infinite-dimensional Lie groups and their Lie algebras (See also 17B65, 58B25, 58H05)
82B23 Exactly solvable models; Bethe ansatz
37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures
Issue 25 (24 June 2005)
Received 12 April 2005
Published 8 June 2005
A B Balantekin et al 2005 J. Phys. A: Math. Gen. 38 5697
A N F Aleixo and A B Balantekin 2007 J. Phys. A: Math. Theor. 40 3463
A B Balantekin and Y Pehlivan 2007 J. Phys. G: Nucl. Part. Phys. 34 47
A B Balantekin and Y Pehlivan 2007 J. Phys. G: Nucl. Part. Phys. 34 1783
Andreas Källberg et al 2006 Class. Quantum Grav. 23 L7
Gilad Gour and A J M Medved 2003 Class. Quantum Grav. 20 1661
David A Williams 2005 J. Phys.: Conf. Ser. 6 1
Maria Elisabetta Palumbo 2005 J. Phys.: Conf. Ser. 6 211
S Cazaux et al 2005 J. Phys.: Conf. Ser. 6 155
Giuliano Malloci et al 2005 J. Phys.: Conf. Ser. 6 178