Integral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations

dc.creatorFelder, Giovanni
dc.creatorVarchenko, Alexander
dc.date1995-02-28
dc.date1995-05-19
dc.date.accessioned2026-07-07T09:03:56Z
dc.date.available2026-07-07T09:03:56Z
dc.descriptionWe give an integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations for arbitrary simple Lie algebras. If the level is a positive integer, we obtain formulas for conformal blocks of the WZW model on a torus. The asymptotics of our solutions at critical level gives eigenfunctions of Euler-Calogero-Moser integrable $N$-body systems. As a by-product, we obtain some remarkable integral identities involving classical theta functions.
dc.description12 pages, AmsLaTex; some misprints were corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9502165
dc.identifierhttp://arxiv.org/abs/hep-th/9502165
dc.identifierInt. Math. Res. Notices (1995) 221-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149194
dc.subjectHigh Energy Physics - Theory
dc.titleIntegral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations
dc.typetext

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