S-duality, 't Hooft operators and the operator product expansion

Abstract

We study S-duality in N=4 super Yang-Mills with an arbitrary gauge group by determining the operator product expansion of the circular BPS Wilson and 't Hooft loop operators. The coefficients in the expansion of an 't Hooft loop operator for chiral primary operators and the stress-energy tensor are calculated in perturbation theory using the quantum path-integral definition of the 't Hooft operator recently proposed. The corresponding operator product coefficients for the dual Wilson loop operator are determined in the strong coupling expansion. The results for the 't Hooft operator in the weak coupling expansion exactly reproduce those for the dual Wilson loop operator in the strong coupling expansion, thereby demonstrating the quantitative prediction of S-duality for these observables.

33 pages; v2: references added

References in corpus (15)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Arithmetic of Quantum Entropy Function
• Wilson Loops in N=4 SYM and Fermion Droplets
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Gauge Theory, Ramification, And The Geometric Langlands Program
• Bubbling Surface Operators And S-Duality
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• The algebra of Wilson-'t Hooft operators
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• On S-duality for Non-Simply-Laced Gauge Groups
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Exact 1/4 BPS Loop - Chiral Primary Correlator

Cited by in corpus (23)

• Gauge Theory Loop Operators and Liouville Theory
• Correlation Functions of Coulomb Branch Operators
• Entanglement, Holography and Causal Diamonds
• Exact Results for 't Hooft Loops in Gauge Theories on S^4
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories
• Twist operators in higher dimensions
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• Comments on Jacobson's "Entanglement equilibrium and the Einstein equation"
• Spinning conformal defects
• Free energy and defect $C$-theorem in free scalar theory
• 't Hooft Operators in Gauge Theory from Toda CFT
• Operator product expansion for conformal defects
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Type-B Anomaly Matching and the 6D (2,0) Theory
• Non-thermal production of lepton asymmetry and dark matter in minimal seesaw with right handed neutrino induced Higgs potential
• On the Mutual Information in Conformal Field Theory
• Rényi Mutual Information for Free Scalar in Even Dimensions
• Instanton effects in correlation functions on the light-cone
• Holographic Mutual Information of Two Disjoint Spheres
• More on 't Hooft loops in N=4 SYM
• OPE of the stress tensors and surface operators
• S-duality transformation of $\mathcal{N}$ $=4$ SYM theory at the operator level