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SUMMARY:Vincent Bouchard (University of Alberta)
DTSTART:20210924T010000Z
DTEND:20210924T020000Z
DTSTAMP:20260423T024541Z
UID:CGP-MP/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/14/">
 Whittaker vectors for W-algebras from topological recursion</a>\nby Vincen
 t Bouchard (University of Alberta) as part of IBS-CGP Mathematical Physics
  Seminar\n\n\nAbstract\nGaiotto vectors\, describing the fundamental class
  in the equivariant cohomology of a suitable compactification of the modul
 i space of G-bundles over P^2\, for G a complex simple Lie group\, are Whi
 ttaker vectors for modules of W-algebras. In this work we identify these W
 hittaker vectors with partition functions of quantum Airy structures\, whi
 ch means that they can be calculated by topological recursion methods. On 
 the physics side\, it means that the Nekrasov partition function for pure 
 N=2 4d supersymmetric gauge theories can be accessed via a topological rec
 ursion à la Chekhov-Eynard-Orantin. We formulate the connection for Gaiot
 to vectors of type A\, B\, C\, and D. For those interested in topological 
 recursion\, the type A case at arbitrary level gives rise to a new non-com
 mutative formulation of topological recursion.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/14/
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