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A new result for 3D Bethe/Gauge correspondence

Xiang-Mao Ding, Ting Zhang

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Source: Crossref

Published: Nov 29, 2025

DOI: 10.1142/s0129055x25500291

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In this paper, we have established the general relationship between 3D [Formula: see text] gauge theories and quantum spin chains [X.-M. Ding and T. Zhang, Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories, J. High Energy Phys. 04 (2023) 036, arXiv:2303.03102], known as the Bethe/Gauge correspondence. In this paper, we propose to derive the correspondence with alternative setting for a different boundary conditions, and clarify the distinctions between the two approaches. We argue that these differences originate from a form of Langlands duality between Lie algebras of types [Formula: see text] and [Formula: see text].

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A new result for 3D Bethe/Gauge correspondence — Mathematical Frontier Network