D. Keating, N. Reshetikhin, A. Sridhar, “Conformal limit for dimer models on the hexagonal lattice”, Zap. Nauchn. Sem. POMI, 2018, Volume 473,Pages <nobr>174

Conformal limit for dimer models on the hexagonal lattice

D. Keating^a, N. Reshetikhin^bca, A. Sridhar^d

^a Department of Mathematics, University of California, Berkeley, CA 94720, USA
^b St. Petersburg University, Russia
^c KdV Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
^d Google LLC

Abstract: In this note we derive the asymptotical behavior of local correlation functions in dimer models on a domain of the hexagonal lattice in the continuum limit, when the size of the domain goes to infinity and parameters of the model scale appropriately.

Key words and phrases: dimer models, Dirac fermions, Kasteleyn operator, Burgers equation, conformal correlation functions.

UDC: 517.9

Received: 22.11.2018

Language: English