Refined functional relations for the elliptic SOS model

@article{Gallas2012RefinedFR,
  title={Refined functional relations for the elliptic SOS model},
  author={Wellington Gall{\'e}as},
  journal={Nuclear Physics},
  year={2012},
  volume={867},
  pages={855-871}
}
  • W. Galléas
  • Published 23 July 2012
  • Computer Science, Mathematics
  • Nuclear Physics
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29 Citations
Background Citations
12
Methods Citations
9
Results Citations
1

29 Citations

Integral formula for elliptic SOS models with domain walls and a reflecting end

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from integrable vertex models

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Scalar Product of Bethe Vectors from Functional Equations

  • W. Galléas
  • Mathematics
    Communications in Mathematical Physics
  • 2014
In this work the scalar product of Bethe vectors for the six-vertex model is studied by means of functional equations. The scalar products are shown to obey a system of functional equations…

The Functional Method for the Domain-Wall Partition Function

  • Jules Lamers
  • Mathematics
    Symmetry, Integrability and Geometry: Methods and Applications
  • 2018
We review the (algebraic-)functional method devised by Galleas and further developed by Galleas and the author. We first explain the method using the simplest example: the computation of the…

35 References

Functional relations for the six-vertex model with domain wall boundary conditions

In this work we demonstrate that the Yang–Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six-vertex model with domain wall boundary…

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We generalized a recent observation (Khoroshkin and Pakuliak 2005 Theor. Math. Phys. 145 1373) that the partition function of the six-vertex model with domain wall boundary conditions can be obtained…

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Partition function of the eight-vertex model with domain wall boundary condition

We derive the recursive relations of the partition function for the eight-vertex model on an N×N square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the…

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Three-coloring statistical model with domain wall boundary conditions: Functional equations

We consider the Baxter three-coloring model with boundary conditions of the domain wall type. In this case, it can be proved that the partition function satisfies some functional equations similar to…

On the Wess-Zumino-Witten models on Riemann surfaces

An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices