Generalized emptiness formation probability in the six-vertex model

Abstract

In the six-vertex model with domain wall boundary conditions, the emptiness formation probability is the probability that a rectangular region in the top left corner of the lattice is frozen. We generalize this notion to the case where the frozen region has the shape of a generic Young diagram. We derive here a multiple integral representation for this correlation function.

11 pages, 2 figures, v2: a few comments and two references added

References in corpus (6)

• Inhomogeneous field theory inside the arctic circle
• Algebraic representation of correlation functions in integrable spin chains
• Arctic curves of the six-vertex model on generic domains: the Tangent Method
• The Influence of Boundary Conditions in the Six-Vertex Model
• The 6-vertex model with fixed boundary conditions
• Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions

Cited by in corpus (6)

• Arctic curves of the six-vertex model on generic domains: the Tangent Method
• Arctic curve of the free-fermion six-vertex model in an L-shaped domain
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Finite size corrections to scaling of the formation probabilities and the Casimir effect in the conformal field theories
• The hard-edge tacnode process for Brownian motion
• Scaling limit of domino tilings on a pentagonal domain