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SUMMARY:Radial SLE martingale-observables - Kang\, N-G (Seoul National Uni
 versity)
DTSTART:20150618T103000Z
DTEND:20150618T113000Z
UID:TALK59873@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-author: Nikolai Makarov (Caltech) \n\nAfter implementing a 
 version of radial conformal field theory in the OPE family of statistical 
 fields generated by background charge modification of the Gaussian free fi
 eld\, I present an analytical and probabilistic proof of a well-known stat
 ement in physics that the correlation functions of such fields under the i
 nsertion of one-leg operator form a collection of radial SLE martingale-ob
 servables. In the construction of one-leg operator\, the so-called neutral
 ity conditions on the charges play an important role. I explain two neutra
 lity conditions: first\, the linear combination of bosonic fields is to be
  a well-defined Fock space field\; second\, the Coulomb gas correlation fu
 nction is to be conformally invariant. To reconcile these two neutrality c
 onditions\, one needs to place the background charge at the marked interio
 r point\, the target point of SLE. This is a joint work with Nikolai Makar
 ov. \n
LOCATION:Seminar Room 1\, Newton Institute
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