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SUMMARY:Norton Lee (IBS Center for Geometry and Physics)
DTSTART:20220916T080000Z
DTEND:20220916T090000Z
DTSTAMP:20260423T022722Z
UID:CGP-MP/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/30/">
 Defect in gauge theory and quantum spin chains</a>\nby Norton Lee (IBS Cen
 ter for Geometry and Physics) as part of IBS-CGP Mathematical Physics Semi
 nar\n\n\nAbstract\nThe N=2 supersymmetric gauge theories in four dimension
 s have intrinsic connection to algebraic integrable systems. The gauge the
 ory of interests\, the asymptotically superconformal N=2 SQCD in four dime
 nsions\, reveals a structure which has dual descriptions. On the one hand 
 it is the complex generalization of the Heisenberg XXX spin chain\, based 
 on the Lie algebra sl_2. On the other hand is the Gaudin model (a special 
 type of Hitchin system)\, based on the Lie algebra sl_N. In this talk I wi
 ll focus on the spin chain side. I will show that by introducing BPS surfa
 ce defects\, we find observables in the gauge theory that satisfy differen
 ce equations called fractional quantum T-Q equation. The observables repre
 sents states of the XXX Heisenberg spin chain of N Heisenberg-Weyl modules
  over Y(sl_2). We also exploited to find the the explicit formula for the 
 Jost function of the XXX Heisenberg spin chain from gauge theory.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/30/
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