Data di Pubblicazione:
2011
Citazione:
Proof of the Razumov–Stroganov conjecture / L. Cantini, A. Sportiello. - In: JOURNAL OF COMBINATORIAL THEORY. SERIES A. - ISSN 0097-3165. - 118:5(2011), pp. 1549-1574. [10.1016/j.jcta.2011.01.007]
Abstract:
The Razumov–Stroganov conjecture relates the ground-state coefficients in the periodic even-length dense O(1) loop model to the enumeration of fully-packed loop configurations on the square, with alternating boundary conditions, refined according to the link pattern for the boundary points.
Here we prove this conjecture, by means of purely combinatorial methods. The main ingredient is a generalization of the Wieland proof technique for the dihedral symmetry of these classes, based on the ‘gyration’ operation, whose full strength we will investigate in a companion paper.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
fully-packed loop model ; alternating sign matrices ; dense loop model ; XXZ quantum spin chain
Elenco autori:
L. Cantini, A. Sportiello
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