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SUMMARY:Integrability of the conformal loop ensemble - Morris Ang (MIT)
DTSTART:20210525T130000Z
DTEND:20210525T140000Z
UID:TALK160489@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:For 8/3 < κ < 8\, the conformal loop ensemble CLEκ is a cano
 nical random ensemble of loops which is conformally invariant in law\, and
  whose loops locally look like Schramm-Loewner evolution with parameter κ
 . It describes the scaling limits of the Ising model\, percolation\, and o
 ther models. When κ ≤ 4 the loops are simple curves. In this regime we 
 compute the three-point function of CLEκ on the sphere\, and show it agre
 es with the imaginary DOZZ formula of Zamolodchikov (2005). We also verify
  a conjecture of Kenyon and Wilson on the electrical thickness of CLEκ on
  the sphere. Our arguments depend on couplings of CLE with Liouville quant
 um gravity and the integrability of Liouville conformal field theory.\nBas
 ed on joint work with Xin Sun\, which builds on our recent work with Holde
 n and Remy.\n
LOCATION:Zoom
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