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SUMMARY:3d holomorphic blocks from the intertwiner of quantum toroidal alg
ebra
DTSTART;VALUE=DATE-TIME:20190205T020000Z
DTEND;VALUE=DATE-TIME:20190205T030000Z
DTSTAMP;VALUE=DATE-TIME:20210416T180920Z
UID:indico-contribution-628-2649@indico.ipmu.jp
DESCRIPTION:Speakers: Hiroaki Kanno ()\nThe intertwiner of the Fock repre
sentation of the quantum toroidal algebra of $\\mathfrak{gl}_1$ type can b
e identified with the refined topological vertex\, which is a building blo
ck of 5d lift of the Nekrasov instanton partition function. In general the
correlation function of the intertwiners satisfies a difference equation
of KZ type\, where the associated R-matrix is featured. In this talk I wil
l explain how we can derive generalized KZ equation for quantum toroidal a
lgebra in a simplified setting and show that 3d holomorphic blocks arise a
s solutions to the equation.\n\nhttps://indico.ipmu.jp/event/168/contribut
ions/2649/
LOCATION:Lecture Hall(1F)\, Kavli IPMU
URL:https://indico.ipmu.jp/event/168/contributions/2649/
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