Emptiness formation probability of the six-vertex model and the sixth Painlevé equation

DOI10.1007/s00220-016-2636-5zbMath1361.82013arXiv1505.00032OpenAlexW3100232370MaRDI QIDQ2630735

Andrei G. Pronko, Alexander V. Kitaev

Publication date: 21 July 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00032

zbMATH Keywords

Painlevé equationssix-vertex model

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Fredholm integral equations (45B05) Painlevé-type functions (33E17)

Related Items

Finite size corrections to scaling of the formation probabilities and the Casimir effect in the conformal field theories ⋮ Some explicit results for the generalized emptiness formation probability of the six-vertex model ⋮ Boundary one-point function of the rational six-vertex model with partial domain wall boundary conditions: explicit formulas and scaling properties ⋮ The partition function of the four-vertex model in inhomogeneous external field and trace statistics

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