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SUMMARY:Saebyeok Jeong (Rutgers U)
DTSTART:20220802T050000Z
DTEND:20220802T070000Z
DTSTAMP:20260423T022807Z
UID:SNUSTRING/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNUSTRING/2/
 ">Fusion of surface defects\, Hecke operator\, and quantum Lax equation</a
 >\nby Saebyeok Jeong (Rutgers U) as part of SNU String Seminar\n\n\nAbstra
 ct\nI will consider a correlation function of two half-BPS surface defects
  in 4d N=2 gauge theory of class S\, which have different 6d origins. I wi
 ll explain their meaning after the reduction to the sigma model on a corne
 r with the Hitchin moduli space target. By localization computation\, we c
 onfirm that the introduction of the second surface defect induces an actio
 n on the parameter space of the first surface defect\, which is shown to b
 e that of the Hecke operator on the conformal block of the vertex algebra 
 at the junction of the corner. Furthermore\, the correlation function is s
 hown to satisfy the 'quantum' Lax equation\, leading to all the mutually c
 ommuting quantum Hamiltonian realized as differential operators acting on 
 the vev of the first surface defect.\n
LOCATION:https://researchseminars.org/talk/SNUSTRING/2/
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