Pfaffian and Determinant Solutions to A Discretized Toda Equation for $B_r, C_r$ and $D_r$

dc.creatorKuniba, Atsuo
dc.creatorNakamura, Shuichi
dc.creatorHirota, Ryogo
dc.date1995-09-08
dc.date.accessioned2026-07-07T10:58:37Z
dc.date.available2026-07-07T10:58:37Z
dc.descriptionWe consider a class of 2 dimensional Toda equations on discrete space-time. It has arisen as functional relations in commuting family of transfer matrices in solvable lattice models associated with any classical simple Lie algebra $X_r$. For $X_r = B_r, C_r$ and $D_r$, we present the solution in terms of Pfaffians and determinants. They may be viewed as Yangian analogues of the classical Jacobi-Trudi formula on Schur functions.
dc.descriptionPlain Tex, 9 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9509039
dc.identifierhttp://arxiv.org/abs/hep-th/9509039
dc.identifierJ.Phys.A29:1759-1766,1996
dc.identifierdoi:10.1088/0305-4470/29/8/022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187163
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titlePfaffian and Determinant Solutions to A Discretized Toda Equation for $B_r, C_r$ and $D_r$
dc.typetext

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