Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Wednesday 14 November 2018
Time 14:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Chelkak
Speaker's First Name Dmitry
Speaker's Email Address dchelkak [at] gmail [dot] com
Speaker's Institution DMA, ENS
Title S-embeddings of planar graphs carrying the Ising model
Abstract During the last decade, a number of results on conformal invariance of the critical planar Ising model were obtained, both for correlation functions and collections of interfaces. Nevertheless, in sharp contrast to random-walk based models, all these results remained limited to 'nice' lattices and interaction constants (namely, to the Z-invariant Ising model on isoradial graphs) until recently. The main purpose of this talk is to discuss a new way of embedding weighted planar graphs into the complex plane - s-embeddings - which plays the role of Tutte's barycentric embedding for the critical Ising model. The technique developed so far allows to prove the convergence of critical FK-Ising interfaces to SLE(16/3) on arbitrary periodic weighted graphs and has a clear potential for generalizations.
arXiv Preprint Number 1607.08467

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