• Corpus ID: 235731680

Integrability of the conformal loop ensemble

  title={Integrability of the conformal loop ensemble},
  author={Morris Ang and Xin Sun},
We demonstrate that the conformal loop ensemble (CLE) has a rich integrable structure by establishing exact formulas for two CLE observables. The first describes the joint moments of the conformal radii of loops surrounding three points for CLE on the sphere. Up to normalization, our formula agrees with the imaginary DOZZ formula due to Zamolodchikov (2005) and KostovPetkova (2007), which is the three-point structure constant of certain conformal field theories that generalize the minimal… 

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