The SOS model partition function and the elliptic weight functions

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TitreThe SOS model partition function and the elliptic weight functions
Type de publicationArticle de revue
AuteurPakuliak, Stanislav, Roubtsov, Vladimir , Silantyev, Alexey
PaysRoyaume-Uni
EditeurInstitute of Physics Publishing
VilleBristol
TypeArticle scientifique dans une revue à comité de lecture
Année2008
LangueAnglais
Date2008/07/25
Numéro29
Volume41
Titre de la revueJournal of Physics. A, Mathematical and Theoretical
ISSN1751-8121
Résumé en anglais

We generalized a recent observation (Khoroshkin and Pakuliak 2005 Theor. Math. Phys. 145 1373) that the partition function of the six-vertex model with domain wall boundary conditions can be obtained from a calculation of projections of the product of total currents in the quantum affine algebra in its current realization. A generalization is done for the elliptic current algebra (Enriquez and Felder 1998 Commun. Math. Phys. 195 651, Enriquez and Rubtsov 1997 Ann. Sci. Ecole Norm. Sup. 30 821). The projections of the product of total currents in this case are calculated explicitly and are presented as integral transforms of a product of the total currents. It is proved that the integral kernel of this transform is proportional to the partition function of the SOS model with domain wall boundary conditions.

URL de la noticehttp://okina.univ-angers.fr/publications/ua175
DOI10.1088/1751-8113/41/29/295204
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http://dx.doi.org/10.1088/1751-8113/41/29/295204