Reflection algebra and functional equations

@article{Gallas2014ReflectionAA,
  title={Reflection algebra and functional equations},
  author={Wellington Gall{\'e}as and Jules Lamers},
  journal={Nuclear Physics},
  year={2014},
  volume={886},
  pages={1003-1028}
}
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22 Citations
Background Citations
5
Methods Citations
7
Results Citations
2

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22 Citations

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

Six-Vertex Model and Non-linear Differential Equations. I: Spectral Problem

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  • Mathematics
    Communications in Mathematical Physics
  • 2018
In this work we relate the spectral problem of the toroidal six-vertex model’s transfer matrix with the theory of integrable non-linear differential equations. More precisely, we establish an analogy…

Boundary correlations for the six-vertex model with reflecting end boundary condition

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New differential equations in the six-vertex model

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We study the partition function of the six-vertex model in the rational limit on arbitrary Baxter lattices with reflecting boundary. Every such lattice is interpreted as an invariant of the twisted…

Off-shell scalar products for the XXZ spin chain with open boundaries

Thermodynamic limit of the six-vertex model with reflecting end

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We have found a number of special points where the partition function is directly obtained. We…

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…

Differential approach to on-shell scalar products in six-vertex models

In this work we obtain hierarchies of partial differential equations describing on-shell scalar products for two types of six-vertex models. More precisely, six-vertex models with two different…

Elliptic free-fermion model with OS boundary and elliptic Pfaffians

  • K. Motegi
  • Mathematics, Physics
    Letters in Mathematical Physics
  • 2018
We introduce and study a class of partition functions of an elliptic free-fermionic face model. We study the partition functions with a triangular boundary using the off-diagonal K-matrix at the…

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