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X-FROM-URL:https://eom.sdu.dk/events/ical/b61d52ba-4b5a-46b4-8a6e-97d77d18
 2380
X-WR-CALNAME:QM Research Seminar: Quantization of Hitchin integrable syste
 m and N=2 gauge theory with surface defects
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163402Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Saebyeok Jeong [/b] (Department of Theoretical Phy
 sics\, CERN) [nl]\n[b]Abstract:[/b][nl]\nThe Coulomb branch of four-dimen
 sional N=2 supersymmetric gauge theory of class S is well-known to be ide
 ntical to the moduli space of Hitchin's equations. I will consider the ca
 se of genus-0 with regular marked points\, where the associated integrabl
 e system is the Gaudin model. I'll explain how the quantization of the Ga
 udin model can be formulated in the N=2 supersymmetric gauge theory with 
 the help of half-BPS surface defects. We consider two types of surface de
 fects: the "canonical" surface defect and the "regular monodromy" surface
  defect\, inserted on top of each other. The action of the former on the 
 latter is diagonal due to cluster decomposition\, interpreted as the Heck
 e eigensheaf property with the eigenvalue given by the oper. In this way\
 , we formulate the geometric Langlands correspondence in the N=2 gauge th
 eory setting. I will also explain that the separation of variables and th
 e bispectral duality of the quantum Hitchin integrable system can be acco
 unted for by surface defect transitions.\n[nl]
DTEND:20231011T140000Z
DTSTAMP:20260602T163402Z
DTSTART:20231011T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Quantization of Hitchin integrable system and
  N=2 gauge theory with surface defects
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