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Percolation and O(1) loop model

Mikhail Khristoforov, Stanislav Smirnov

30/11/21 Published in : arXiv:2111.15612

We present an "ultimate" proof of Cardy's formula for the critical percolation on the hexagonal lattice \cite{Smirnov01criticalpercolation}, showing the existence of the universal and conformally invariant scaling limit of crossing probabilities. The new approach is more conceptual, less technically demanding, and is amenable to generalizations.

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  • Quantum Systems
  • Field Theory
  • Statistical Mechanics

Polyfunctions over General Rings

2D CFTs -- Large Charge is not enough

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