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UID:619@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20151021T133000
DTEND;TZID=Europe/Berlin:20151021T143000
DTSTAMP:20151007T171029Z
URL:https://qft.physik.hu-berlin.de/next-seminars/ioana-coman-lohi-desy/
SUMMARY:Ioana Coman-Lohi\, DESY - Network operators\, quantized moduli spac
 es of flat connections and Toda CFT
DESCRIPTION:Non-perturbative aspects of N=2 SUSY gauge theories of class S 
 are encoded in the algebra of functions on the moduli space M-flat of flat
  SL(N\,C)-connections on Riemann surfaces. Expectation values of Wilson an
 d 't Hooft line operators are thus related to holonomies of flat connectio
 ns and\, in the low-energy effective theory\, to Fock-Goncharov coordinate
 s on M-flat. We determine the non-commutative algebra of UV line operators
  from the quantization of Fock-Goncharov Laurent polynomials and find that
  it coincides with the skein algebra of links in oriented 3-manifolds\, st
 udied in the context of Chern-Simons theory. Another realization of the sk
 ein algebra is generated by Verlinde network operators in Toda conformal f
 ield theory and together\, these results provide evidence for the generali
 zation of the AGT correspondence to higher-rank class S theories.\n&nbsp\;
CATEGORIES:Research Seminars
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