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Integrable 3D lattice model in M-theory

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arxiv 2203.09706 v3 pith:ILJH6A3T submitted 2022-03-18 hep-th math-phmath.MP

Junya Yagi This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords modellatticeequationintegrablem-theorytetrahedronarguedbazhanov
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It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable three-dimensional lattice model. The local Boltzmann weights of the lattice model satisfy a generalization of Zamolodchikov's tetrahedron equation. In a special case the model is described by a solution of the tetrahedron equation discovered by Kapranov and Voevodsky and by Bazhanov and Sergeev.

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  1. Solving the tetrahedron equation by Teichm\"uller TQFT

    math-ph 2026-02 conditional novelty 6.0 of 10

    Boltzmann weights built from Teichmüller TQFT on shaped triangulations with line defects exactly solve the bicolored tetrahedron equations.

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