Large spin corrections in \({\mathcal N}=4\) SYM \(sl(2)\): still a linear integral equation

DOI10.1016/j.nuclphysb.2008.09.030zbMath1192.82016arXiv0802.0027OpenAlexW2000299412MaRDI QIDQ985892

Davide Fioravanti, Diego Bombardelli, Marco Rossi

Publication date: 6 August 2010

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

Full work available at URL: https://arxiv.org/abs/0802.0027

zbMATH Keywords

integrabilitycounting functionBethe ansatz equationsAds-CFT correspondenceinfinite conserved charges

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Spinor and twistor methods applied to problems in quantum theory (81R25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (26)

Reciprocity and self-tuning relations without wrapping ⋮ Quantum dispersion relations for the \( Ad{S}_4\times {\mathbb{C}}\mathbb{P}^3 \) GKP string ⋮ Reciprocity and integrability in the \({\mathbf{s}\mathbf{l}}(2)\) sector of \(\mathcal{N} = 4\) SYM ⋮ From weak coupling to spinning strings ⋮ The generalised scaling function: a note ⋮ On the scattering over the GKP vacuum ⋮ TBA and Y-system for planar AdS\(_{4}\)/CFT\(_{3}\) ⋮ Extended Y-system for the \(AdS_{5}/CFT_{4}\) correspondence ⋮ Review of AdS/CFT integrability, chapter III.4: Twist states and the cusp anomalous dimension ⋮ 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 ⋮ Scattering of giant holes ⋮ Generalized scaling function from light-cone gauge \(\mathrm{AdS}_{5} \times S^{5}\) superstring ⋮ 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 ⋮ Strong coupling for planar \({\mathcal N}=4\) SYM theory: an all-order result ⋮ 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 ⋮ Finite size spectrum of \(\operatorname{SU}(N)\) principal chiral field from discrete Hirota dynamics ⋮ Confinement and Mayer cluster expansions

Cites Work

• Planar \(\mathcal N= 4\) gauge theory and the Hubbard model
• Twist 3 of the \(\mathrm{sl}(2)\) sector of \(N=4\) SYM and reciprocity respecting evolution
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Logarithmic scaling in gauge/string correspondence
• On the highest transcendentality in \(\mathcal N=4\) SUSY
• 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
• Integrability and transcendentality
• EULER-LAGRANGE EQUATIONS FOR THE GRIBOV REGGEON CALCULUS IN QCD AND IN GRAVITY
• A generalized scaling function for AdS/CFT

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