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On the elliptic $mathfrak{gl}_2$ solid-on-solid model: functional relations and determinants

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 نشر من قبل Wellington Galleas
 تاريخ النشر 2016
  مجال البحث فيزياء
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 تأليف W. Galleas




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In this work we study an elliptic solid-on-solid model with domain-wall boundaries having the elliptic quantum group $mathcal{E}_{p, gamma}[widehat{mathfrak{gl}_2}]$ as its underlying symmetry algebra. We elaborate on results previously presented by the author and extend our analysis to include continuous families of single determinantal representations for the models partition function. Interestingly, our families of representations are parameterized by two continuous complex variables which can be arbitrarily chosen without affecting the partition function.



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