Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end

Ghali Filali

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Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end

Ghali Filali

Mathematical Physics · Submitted 2 Dec 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that it can be represented in the form of a single Izergin determinant.

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We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel'd twist, we compute the partition function of this model with domain wall boundary conditions. We show that it can be represented in the form of a single Izergin determinant.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end.	contribution 1.00	0.95	0.17	asserted 1.00
s1	Using factorizing Drinfel'd twist, we compute the partition function of this model with domain wall boundary conditions.	method 0.88	0.95	0.11	asserted 1.00
s2	We show that it can be represented in the form of a single Izergin determinant.	result 1.00	0.94	0.58	asserted 1.00

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Original abstract

We introduce in this paper an elliptic dynamical reflection algebra describing an SOS model with reflecting end. Using factorizing Drinfel'd twist, we compute the partition function of this model with domain wall boundary conditions. We show that it can be represented in the form of a single Izergin determinant.

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7 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 8 sentences without a confident label

Builds on it 1 paper

Consider the following elliptic version of Tsuchiya's determinant [ref] : (see a similar determinant in [ref] ) [equation] Conventionally, $_̋0=1$.

Sum rule for the eight-vertex model on its combinatorial line · Further factorization as determinants · 0.93

Cites it as background 2 papers

In 2011, Filali [ref] found a single determinant formula for the partition function of the 8VSOS model with DWBC and one reflecting end.

A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain · Introduction · 0.83
In the dynamical (sos) case the domain-wall partition function [ref] was found by Rosengren [ref] , and the reflecting-end partition function [ref] by Filali and Kitanine [ref] .

The Functional Method for the Domain-Wall Partition Function · Summary and outlook · 0.87

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Cites as background 1 paper

Within the Quantum Inverse Scattering frameworks, partition functions are essential for the study of correlations functions [ref] .

Correlation functions of the open XXZ chain II · Introduction · 0.94

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