Q-operators are 't Hooft lines

Abstract

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.

79 pages, 6 figures

References in corpus (9)

• Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
• A Shortcut to the Q-Operator
• Gauge Theory and Integrability, II
• Supersymmetric gauge theory and the Yangian
• Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
• Yangians and quantizations of slices in the affine Grassmannian
• A unifying 2d action for integrable $\sigma$-models from 4d Chern-Simons theory
• The Chern-Simons Origin of Superstring Integrability
• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains

Cited by in corpus (6)

• 4-dimensional Chern-Simons theory and integrable field theories
• 't Hooft lines of ADE-type and Topological Quivers
• Lax Operator and superspin chains from 4D CS gauge theory
• Topological 4D gravity and gravitational defects
• Line Operators in 4d Chern-Simons Theory and Cherkis Bows
• Four-Dimensional Chern-Simons and Gauged Sigma Models