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arxiv: hep-th/9402111 · v1 · submitted 1994-02-18 · ✦ hep-th

Separation of variables for the quantum relativistic Toda lattices

classification ✦ hep-th
keywords quantumseparationlatticesrelativistictodaanalogsconsiderequations
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We consider quantum analogs of the relativistic Toda lattices and give new $2\times 2$ $L$-operators for these models. Making use of the variable separation the spectral problem for the quantum integrals of motion is reduced to solving one-dimensional separation equations.

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  1. Dimers for Relativistic Toda Models with Reflective Boundaries

    hep-th 2025-10 unverdicted novelty 7.0

    Dimer graphs are constructed for relativistic Toda chains of listed Lie algebra types, and Seiberg-Witten curves of 5d N=1 pure SYM for group G are identified as spectral curves of the dual Toda chain for G^vee.