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<p>We construct dimer graphs for relativistic Toda chains associated with classical untwisted Lie algebras of A, B, C<sub>0</sub>, C<sub><i>π</i></sub>, D types and twisted A, D types. We show that the Seiberg-Witten curve of 5d <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1 pure supersymmetric gauge theory of gauge group <i>G</i> is a spectral curve of the relativistic Toda chain of the dual group <i>G</i><sup>∨</sup>.</p>

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Dimers for relativistic Toda models with reflective boundaries

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月24日

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  • Kimyeong Lee,
  • Norton Lee

摘要

We construct dimer graphs for relativistic Toda chains associated with classical untwisted Lie algebras of A, B, C0, Cπ, D types and twisted A, D types. We show that the Seiberg-Witten curve of 5d N \( \mathcal{N} \) = 1 pure supersymmetric gauge theory of gauge group G is a spectral curve of the relativistic Toda chain of the dual group G∨.