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The SOS model partition function and the elliptic weight functions

Abstract :

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.

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https://hal.univ-angers.fr/hal-03054036
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Soumis le : vendredi 11 décembre 2020 - 11:47:00
Dernière modification le : vendredi 28 mai 2021 - 13:24:02
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Stanislav Pakuliak, Vladimir Roubtsov, Alexey Silantyev. The SOS model partition function and the elliptic weight functions. Journal of Physics. A, Mathematical and Theoretical, 2008, 41 (29), Non spécifié. ⟨10.1088/1751-8113/41/29/295204⟩. ⟨hal-03054036⟩

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