Title	The eight-vertex model via dimers
Creator	Melotti, Paul
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-22T10:07
Description	The eight-vertex model is an ubiquitous description that generalizes several spin systems, "ice-type" six-vertex models, and others. In a special "free-fermion" regime, it is known since the work of Fan, Lin, Wu in the late 60s that the model can be mapped to non-bipartite dimers. In this talk I will show how to transform these non-bipartite dimers into bipartite ones, which allows for a deep, rigorous study on generic planar graphs. I will mention a few consequences: computation of long-range correlations and critical exponents, critical regimes, and their "exact" application to Z-invariant regimes on isoradial graphs.
Extent	56.0 minutes
Subject	Mathematics; Probability Theory And Stochastic Processes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Sorbonne Université
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390969
URI	http://hdl.handle.net/2429/74551
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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