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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