Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule

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dc.creatorDi Francesco, P.
dc.creatorZinn-Justin, P.
dc.date2004-10-28
dc.date2006-03-07
dc.date.accessioned2026-07-07T06:38:33Z
dc.date.available2026-07-07T06:38:33Z
dc.descriptionWe prove that the sum of entries of the suitably normalized groundstate vector of the O(1) loop model with periodic boundary conditions on a periodic strip of size 2n is equal to the total number of n x n alternating sign matrices. This is done by identifying the state sum of a multi-parameter inhomogeneous version of the O(1) model with the partition function of the inhomogeneous six-vertex model on a n x n square grid with domain wall boundary conditions.
dc.description30 pages. v2: Eq. (3.38) corrected. v3: title changed, references added. v4: q and q^{-1} switched to conform to standard conventions
dc.identifierhttps://arxiv.org/abs/math-ph/0410061
dc.identifierhttp://arxiv.org/abs/math-ph/0410061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100773
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectCombinatorics
dc.subjectExactly Solvable and Integrable Systems
dc.titleAround the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
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