Towards conformal invariance of 2D lattice models

Stanislav Smirnov

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arXiv · 0708.0032

Towards conformal invariance of 2D lattice models

Stanislav Smirnov

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Abstract

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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Stanislav Smirnov. 2007-07-31. Towards conformal invariance of 2D lattice models. https://arxiv.org/abs/0708.0032

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