Pseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras

Simple item page
dc.creatorDorey, Patrick
dc.creatorDunning, Clare
dc.creatorMasoero, Davide
dc.creatorSuzuki, Junji
dc.creatorTateo, Roberto
dc.date2006-12-29
dc.date2007-02-01
dc.date.accessioned2026-07-07T11:59:36Z
dc.date.available2026-07-07T11:59:36Z
dc.descriptionThe correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras. New families of pseudo-differential equations are proposed, and a link between specific generalised eigenvalue problems for these equations and the Bethe ansatz is deduced. The pseudo-differential operators resemble in form the Miura-transformed Lax operators studied in work on generalised KdV equations, classical W-algebras and, more recently, in the context of the geometric Langlands correspondence. Negative-dimension and boundary-condition dualities are also observed.
dc.description50 pages, 4 figures. v2: typos corrected, extra numerical results included
dc.identifierhttps://arxiv.org/abs/hep-th/0612298
dc.identifierhttp://arxiv.org/abs/hep-th/0612298
dc.identifierNucl.Phys.B772:249-289,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.02.029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206623
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titlePseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras
dc.typetext

Files

Collections

arXiv