Notes on highest weight modules of the elliptic algebra ${\cal A}_{q,p}\left(\widehat{sl}_2\right)$

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dc.creatorFoda, O.
dc.creatorIohara, K.
dc.creatorJimbo, M.
dc.creatorKedem, R.
dc.creatorMiwa, T.
dc.creatorYan, H.
dc.date1994-05-10
dc.date.accessioned2026-07-07T11:14:44Z
dc.date.available2026-07-07T11:14:44Z
dc.descriptionWe discuss a construction of highest weight modules for the recently defined elliptic algebra ${\cal A}_{q,p}(\widehat{sl}_2)$, and make several conjectures concerning them. The modules are generated by the action of the components of the operator $L$ on the highest weight vectors. We introduce the vertex operators $Φ$ and $Ψ^*$ through their commutation relations with the $L$-operator. We present ordering rules for the $L$- and $Φ$-operators and find an upper bound for the number of linearly independent vectors generated by them, which agrees with the known characters of $\widehat{sl}_2$-modules.
dc.descriptionNonstandard macro package eliminated
dc.identifierhttps://arxiv.org/abs/hep-th/9405058
dc.identifierhttp://arxiv.org/abs/hep-th/9405058
dc.identifierProg.Theor.Phys.Suppl.118:1-34,1995
dc.identifierdoi:10.1143/PTPS.118.1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192171
dc.subjectHigh Energy Physics - Theory
dc.titleNotes on highest weight modules of the elliptic algebra ${\cal A}_{q,p}\left(\widehat{sl}_2\right)$
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