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Tetrahedron duality

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arxiv 2405.02870 v2 pith:CO4QAYER submitted 2024-05-05 hep-th math-phmath.MPnlin.SI

Tetrahedron duality

classification hep-th math-phmath.MPnlin.SI
keywords tetrahedrondualityequationtheoryarguedcertaincontinuousfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A certain two-dimensional supersymmetric gauge theory is argued to satisfy a relation that promotes the Zamolodchikov tetrahedron equation to an infrared duality between two quantum field theories. Solutions of the tetrahedron equation with continuous spin variables are obtained from partition functions of this theory and its variants.

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

    math-ph 2026-02 conditional novelty 6.0

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