Dimers for type D relativistic Toda model

A bstract We construct dimer graphs for type D relativistic Toda models by introducing impurities into the Y 2 N ,0 square dimer graphs. By properly placing the impurities and changing the canonical variables assigned to the 1-loops on the dimer graph, we perform a “folding” of the graphs, which yie...

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Veröffentlicht in:	The journal of high energy physics 2024-09, Vol.2024 (9), p.198-33, Article 198
Hauptverfasser:	Lee, Kimyeong, Lee, Norton
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Classical and Quantum Gravitation Dimers Elementary Particles Graphs Impurities Lattice Integrable Models Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativistic effects Relativity Theory String Theory Supersymmetric Gauge Theory
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Zusammenfassung:	A bstract We construct dimer graphs for type D relativistic Toda models by introducing impurities into the Y 2 N ,0 square dimer graphs. By properly placing the impurities and changing the canonical variables assigned to the 1-loops on the dimer graph, we perform a “folding” of the graphs, which yields the type D relativistic Toda lattice Hamiltonian and monodromy matrix.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP09(2024)198