Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model

@article{Cantini2019IntegralFA,
  title={Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model},
  author={Luigi Cantini and Filippo Colomo and Andrei G. Pronko},
  journal={Annales Henri Poincar{\'e}},
  year={2019},
  volume={21},
  pages={865-884}
}
We study the relationship between various integral formulas for nonlocal correlation functions of the six-vertex model with domain wall boundary conditions. Specifically, we show how the known representation for the emptiness formation probability can be derived from that for the so-called row configuration probability. A crucial ingredient in the proof is a relation expressing the result of antisymmetrization of some given function with respect to permutations in two sets of its variables in… 
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