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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2509.09209 |
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| _version_ | 1866918207923683328 |
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| author | Liénardy, Jean Hagendorf, Christian Walmsley |
| author_facet | Liénardy, Jean Hagendorf, Christian Walmsley |
| contents | The open XXZ spin chain with the anisotropy parameter $Δ=-\frac12$, diagonal boundary fields that depend on a parameter $x$, and finite length $N$ is studied. In a natural normalisation, the components of its ground-state vector are polynomials in $x$ with integer coefficients. It is shown that their sum is given by a generating function for the weighted enumeration of totally-symmetric alternating sign matrices with weights depending on $x$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The open XXZ chain at $Δ=-1/2$ and totally-symmetric alternating sign matrices Liénardy, Jean Hagendorf, Christian Walmsley Mathematical Physics Statistical Mechanics The open XXZ spin chain with the anisotropy parameter $Δ=-\frac12$, diagonal boundary fields that depend on a parameter $x$, and finite length $N$ is studied. In a natural normalisation, the components of its ground-state vector are polynomials in $x$ with integer coefficients. It is shown that their sum is given by a generating function for the weighted enumeration of totally-symmetric alternating sign matrices with weights depending on $x$. |
| title | The open XXZ chain at $Δ=-1/2$ and totally-symmetric alternating sign matrices |
| topic | Mathematical Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2509.09209 |