Dimers for Relativistic Toda Models with Reflective Boundaries

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This is a Quantitative Study study.

Kimyeong Lee; Norton Lee

doi:10.48550/arxiv.2510.01768

October 2, 2025Open Access

Dimers for Relativistic Toda Models with Reflective Boundaries

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Key Points

The dimer graph is associated with the relativistic Toda chain and various classical Lie algebras.
It was shown that the Seiberg-Witten curve serves as a spectral curve for the relativistic Toda chain.
This work highlights relationships between gauge theory and the dual group structures within the context of the relativistic Toda chain.
Connections provide insights into the behavior and properties of supersymmetric gauge theories under specific conditions.

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Implication

This analysis constructs a dimer graph for relativistic Toda models and reveals connections to gauge theories.

Abstract

We construct dimer graph for relativistic Toda chain associated with classical untwisted Lie algebra of A, B, C₀, C_π, D types and twisted A, D types. We show that the Seiberg-Witten curve of 5d =1 pure supersymmetric gauge theory of gauge group G is a spectral curve of the relativistic Toda chain of the dual group G^.

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Cite This Study

Lee et al. (2025) studied this question.

synapsesocial.com/papers/68e25385d6d66a53c2474dd7 https://doi.org/10.48550/arxiv.2510.01768

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Dimers for Relativistic Toda Models with Reflective Boundaries

Key Points

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Implication

Abstract

Discussion

Cite This Study

Dimers for Relativistic Toda Models with Reflective Boundaries

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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