Combinatorial nature of ground state vector of O(1) loop model

Simple item page
dc.creatorRazumov, A. V.
dc.creatorStroganov, Yu. G.
dc.date2001-04-24
dc.date2001-05-06
dc.date.accessioned2026-07-07T06:19:08Z
dc.date.available2026-07-07T06:19:08Z
dc.descriptionHanging about a hypothetical connections between the ground state vector for some special spin systems and the alternating-sign matrices, we have found a numerical evidence for the fact that the numbers of the states of the fully packed loop model with fixed link-patterns coincide with the components of the ground state vector of the dense O$(1)$ loop model considered by Batchelor, de Gier and Nienhuis. Our conjecture generalizes in a sense the conjecture of Bosley and Fidkowski, refined by Cohn and Propp, and proved by Wieland.
dc.description5 pages, LaTeX2e, DFPL is changed to FPL in accordance with a suggestion of J. Propp
dc.identifierhttps://arxiv.org/abs/math/0104216
dc.identifierhttp://arxiv.org/abs/math/0104216
dc.identifierTheor.Math.Phys. 138 (2004) 333-337; Teor.Mat.Fiz. 138 (2004) 395-400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94973
dc.subjectCombinatorics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleCombinatorial nature of ground state vector of O(1) loop model
dc.typetext

Files

Collections

arXiv