English

Generalized emptiness formation probability in the six-vertex model

Mathematical Physics 2016-10-11 v2 math.MP

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.

Cite

@article{arxiv.1605.01700,
  title  = {Generalized emptiness formation probability in the six-vertex model},
  author = {Filippo Colomo and Andrei G. Pronko and Andrea Sportiello},
  journal= {arXiv preprint arXiv:1605.01700},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T13:54:10.585Z