Remarks on critical points of phase functions and norms of Bethe vectors

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dc.creatorMukhin, Evgeny
dc.creatorVarchenko, Alexander
dc.date1998-10-14
dc.date.accessioned2026-07-07T05:26:27Z
dc.date.available2026-07-07T05:26:27Z
dc.descriptionWe consider a tensor product of a Verma module and the linear representation of $sl(n+1)$. We prove that the corresponding phase function, which is used in the solutions of the KZ equation with values in the tensor product, has a unique critical point and show that the Hessian of the logarithm of the phase function at this critical point equals the Shapovalov norm of the corresponding Bethe vector.
dc.identifierhttps://arxiv.org/abs/math/9810087
dc.identifierhttp://arxiv.org/abs/math/9810087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77554
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subjectLatex, 5 pages
dc.titleRemarks on critical points of phase functions and norms of Bethe vectors
dc.typetext

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