Strong coupling for planar \({\mathcal N}=4\) SYM theory: an all-order result

DOI10.1016/j.nuclphysb.2008.10.018zbMath1192.81263arXiv0804.2893OpenAlexW2025095467MaRDI QIDQ985898

Marco Rossi, Paolo Grinza, Davide Fioravanti

Publication date: 6 August 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2893

zbMATH Keywords

integrabilitycounting functionBethe ansatz equationsASs-CFT correspondenceinfinite conserved charges

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (20)

Reciprocity and self-tuning relations without wrapping ⋮ The contribution of scalars to \(\mathcal{N} = 4\) SYM amplitudes. II: Young tableaux, asymptotic factorisation and strong coupling ⋮ Resurgence of the cusp anomalous dimension ⋮ From weak coupling to spinning strings ⋮ The generalised scaling function: a note ⋮ On the scattering over the GKP vacuum ⋮ Review of AdS/CFT integrability, chapter III.3: The dressing factor ⋮ Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops ⋮ Exciting the GKP string at any coupling ⋮ Lüscher formula for GKP string ⋮ Bethe ansätze for GKP strings ⋮ On the high spin expansion in the \(sl(2)_{{\mathcal N}=4}\) SYM theory ⋮ Quantum folded string and integrability: from finite size effects to Konishi dimension ⋮ On wrapping corrections to GKP-like operators ⋮ Generalised scaling at subleading order ⋮ The high spin expansion of twist sector dimensions: the planar \({\mathcal N}=4\) super Yang-Mills theory ⋮ Embedding nonlinear \(O(6)\) sigma model into \({N=4}\) super-Yang-Mills theory ⋮ Four loop twist two, BFKL, wrapping and strings ⋮ TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT ⋮ Exact results for the low energy \(AdS_{4}\times \mathbb{C}\mathbb{P}^{3}\) string theory

Cites Work

• Comments on operators with large spin
• Logarithmic scaling in gauge/string correspondence
• On the highest transcendentality in \(\mathcal N=4\) SUSY
• Large spin corrections in \({\mathcal N}=4\) SYM \(sl(2)\): still a linear integral equation
• Anti de Sitter space and holography
• Nonlinear integral equation and excited-states scaling functions in the sine-Gordon model
• Gauge/string duality for QCD conformal operators
• EULER-LAGRANGE EQUATIONS FOR THE GRIBOV REGGEON CALCULUS IN QCD AND IN GRAVITY
• A generalized scaling function for AdS/CFT

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