On Pfaffians in Spin Models

Explore a 49-minute conference talk on Pfaffians in spin models presented by Marcin Lis from Technische Universität Wien at IPAM's Statistical Mechanics and Discrete Geometry Workshop. Delve into the classical result of Groeneveld, Boel, and Kasteleyn regarding boundary spin correlation functions in Ising models on planar graphs satisfying Pfaffian relations. Examine the reverse question and discover how any classical ferromagnetic spin model with correlation functions satisfying Pfaffian relations must be an Ising model on a planar graph, up to local graph simplifications. Gain insights into this joint work with Diederik van Engelenburg, recorded on March 27, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.

Marcin Lis - On Pfaffians in spin models - IPAM at UCLA