Structure constants at wrapping order

Abstract

We consider structure constants of single trace operators in planar $\mathcal{N}$ = 4 Super-Yang-Mills theory within the hexagon framework. The standard procedure for forming a three point function out of two hexagons develops divergences when the effects of virtual particles wrapping around the operators are taken into account. In this paper, we explain how to renormalize these divergences away and obtain definite predictions, at the leading wrapping order, for some of the structure constants that parameterize the OPE of two chiral primaries. We test our method at weak coupling against the four loop planar correction to the BPS-BPS-Konishi OPE coefficient, derived recently in the field theory. At strong coupling, we compare our expressions with the structure constants obtained in string theory for three semiclassical strings.

69 pages

References in corpus (28)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• An Operator Product Expansion for Polygonal null Wilson Loops
• Form factors at strong coupling via a Y-system
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Hexagonalization of Correlation Functions
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• On three-point correlation functions in the gauge/gravity duality
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Tessellating cushions: four-point functions in N=4 SYM
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• The Quantum Spectral Curve of the ABJM theory
• Form factor expansion for thermal correlators
• On the collinear limit of scattering amplitudes at strong coupling
• HHL correlators, orbit averaging and form factors
• String field theory vertex from integrability
• Three-loop universal structure constants in N=4 susy Yang-Mills theory
• The Bajnok-Janik formula and wrapping corrections
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Extracting OPE coefficient of Konishi at four loops
• Asymptotic Four Point Functions
• Smooth Wilson loops from the continuum limit of null polygons
• Exact finite volume expectation values of local operators in excited states
• Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs
• Finite volume form factors and correlation functions at finite temperature
• Half-BPS half-BPS twist two at four loops in N=4 SYM

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• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
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