Extracting OPE coefficient of Konishi at four loops

DOI10.1007/JHEP03(2017)079zbMath1377.81171arXiv1607.02195MaRDI QIDQ1692953

Vasco Gonçalves

Publication date: 10 January 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02195

zbMATH Keywords

conformal field theoryAdS-CFT correspondence

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of statistics to physics (62P35)

Related Items

All five-loop planar four-point functions of half-BPS operators in \( \mathcal{N}=4 \) SYM ⋮ Two spinning Konishi operators at three loops. ⋮ A note on three-point functions of unprotected operators ⋮ Second order splitting functions and infrared safe cross sections in $ \mathcal{N} = 4 $ SYM theory ⋮ On structure constants with two spinning twist-two operators ⋮ Non-planar data of \(\mathcal{N} = 4\) SYM ⋮ Bootstrapping \(\mathcal{N} = 4\) super-Yang-Mills on the conformal manifold ⋮ Konishi OPE coefficient at the five loop order ⋮ Decagon at two loops ⋮ Structure constants in \(\mathcal{N} = 4\) SYM at finite coupling as worldsheet \(g\)-function ⋮ Finite remainders of the Konishi at two loops in \(\mathcal{N}=4 \) SYM ⋮ Structure constants at wrapping order ⋮ Hexagons and correlators in the fishnet theory ⋮ Two-loop doubly massive four-point amplitude involving a half-BPS and Konishi operator ⋮ Asymptotic four point functions

Uses Software

• FIRE
• LiteRed

Cites Work

• Gluing hexagons at three loops
• Generalised ladders and single-valued polylogs
• FIRE4, LiteRed and accompanying tools to solve integration by parts relations
• Five-loop Konishi in \(\mathcal{N}=4\) SYM
• Hidden symmetry of four-point correlation functions and amplitudes in \(\mathcal{N}=4\) SYM
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in \(\mathcal{N}=4\) SYM
• Four loop massless propagators: an algebraic evaluation of all master integrals
• Analytic tools for Feynman integrals
• Leading singularities and off-shell conformal integrals
• Wrapping at four loops in \(\mathcal N=4\) SYM
• Three-point functions in \(\mathcal{N}=4\) SYM: the hexagon proposal at three loops
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Superconformal symmetry, correlation functions and the operator product expansion