Emptiness formation probability of the six-vertex model and the sixth Painlev\'e equation
classification
🧮 math-ph
math.MP
keywords
emptinessformationprobabilityequationmodelpainlevsix-vertexsixth
read the original abstract
We show that the emptiness formation probability of the six-vertex model with domain wall boundary conditions at its free-fermion point is a $\tau$-function of the sixth Painlev\'e equation. Using this fact we derive asymptotics of the emptiness formation probability in the thermodynamic limit.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.