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SUMMARY:Quantum Moduli Spaces of Flat Connections and Applications
DTSTART;VALUE=DATE-TIME:20150930T145000Z
DTEND;VALUE=DATE-TIME:20150930T150500Z
DTSTAMP;VALUE=DATE-TIME:20190619T073311Z
UID:indico-contribution-54@cern.ch
DESCRIPTION:Speakers: Mrs. COMAN-LOHI\, Ioana (DESY)\nNon-perturbative asp
ects of N=2 SUSY gauge theories of class S are encoded in the algebra of f
unctions on the moduli space M-flat of flat SL(N)-connections on Riemann s
urfaces. Expectation values of Wilson and 't Hooft line operators are rela
ted to holonomies of flat connections and\, in the low-energy effective th
eory\, to Fock-Goncharov coordinates on M-flat. \nWe determine the non-com
mutative algebra of UV line operators from the quantization of Fock-Goncha
rov Laurent polynomials and find that it coincides with the skein algebra
studied in the context of Chern-Simons theory. Another realization of the
skein algebra is generated by Verlinde network operators in Toda field the
ory. These results provide evidence for the generalization of the AGT corr
espondence to higher-rank class S theories.\n\nhttps://indico.desy.de/indi
co/event/11875/session/4/contribution/54
LOCATION:DESY Hamburg Seminar room 1
URL:https://indico.desy.de/indico/event/11875/session/4/contribution/54
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