Towards conformal invariance of 2D lattice models

Details Towards conformal invariance of 2D lattice models Towards conformal invariance of 2D lattice models

2007-07-31

arxiv.org/abs/0708.0032v1

Proc.Int.Congr.Math.2:1421-1451,2006

Physics

Mathematical Physics

ICM 2006 paper with a few typos corrected

Scientific paper

Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, ... This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution.

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