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Q-operators are 't Hooft lines

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arxiv 2103.01835 v1 pith:XOWENWDV submitted 2021-03-02 hep-th cond-mat.stat-mechmath.QA

Kevin Costello , Davide Gaiotto , Junya Yagi This is my paper · ORCID
classification hep-thcond-mat.stat-mechmath.QA
keywords q-operatorshooftlinestheorychern-simonsconventionalfour-dimensionalfundamental
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We study 't Hooft lines in four-dimensional holomorphic-topological Chern-Simons theory. We relate them to Q-operators in the theory of integrable systems. We give a physical interpretation of the fundamental TQ and QQ relations satisfied by Q-operators and conventional transfer matrices.

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Cited by 1 Pith paper

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  1. The Yang-Baxter Sigma Model from Twistor Space

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    Twistor-space 6d Chern-Simons theory with Yang-Baxter boundary conditions yields a 4d integrable field theory whose symmetry reduction is the 2d Yang-Baxter sigma model.

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