TBA and Y-system for planar AdS\(_{4}\)/CFT\(_{3}\)

DOI10.1016/J.NUCLPHYSB.2010.04.005zbMath1204.81136arXiv0912.4715OpenAlexW2103815354MaRDI QIDQ622744

Roberto Tateo, Diego Bombardelli, Davide Fioravanti

Publication date: 3 February 2011

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

Full work available at URL: https://arxiv.org/abs/0912.4715

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Exactly solvable models; Bethe ansatz (82B23) Statistical thermodynamics (82B30)

Related Items (34)

BPS Wilson loops and bremsstrahlung function in ABJ(M): a two loop analysis ⋮ Reciprocity and self-tuning relations without wrapping ⋮ The low-energy limit of \(\mathrm{AdS}_{3} / \mathrm{CFT}_{2}\) and its TBA ⋮ The leading-order dressing phase in ABJM theory ⋮ Surprises from the resummation of ladders in the \(ABJ(M)\) cusp anomalous dimension ⋮ Quantum spectral curve for arbitrary state/operator in \(\mathrm{AdS}_{5}/\mathrm{CFT}_{4}\) ⋮ 12 loops and triple wrapping in ABJM theory from integrability ⋮ Exploring the spectrum of planar \(\mathrm{AdS}_{4}/\mathrm{CFT}_{3}\) at finite coupling ⋮ ABJM quantum spectral curve and Mellin transform ⋮ Strings in \(\mathrm{AdS}_4\times\mathbb CP^3\): finite size spectrum vs. Bethe ansatz ⋮ The ABJM Hagedorn temperature from integrability ⋮ Ground state energy of twisted \(AdS_3 \times S^3 \times T^4\) superstring and the TBA ⋮ Quantum strings and the AdS\({}_{4}\)/CFT\({}_{3}\) interpolating function ⋮ Y-system for \(\gamma\)-deformed ABJM theory ⋮ Integrable Wilson loops in ABJM: a \(Y\)-system computation of the cusp anomalous dimension ⋮ Extended Y-system for the \(AdS_{5}/CFT_{4}\) correspondence ⋮ Review of AdS/CFT integrability, chapter III.6: Thermodynamic Bethe ansatz ⋮ Review of AdS/CFT integrability, chapter IV.3: \({\mathcal{N}=6}\) Chern-Simons and strings on AdS\(_{4} \times\) CP\(^{3}\) ⋮ The full quantum spectral curve for \(\mathrm{AdS}_{4} /CFT_{3}\) ⋮ Discontinuity relations for the AdS\({}_4\)/CFT\({}_3\) correspondence ⋮ Finite-size corrections for quantum strings on \( {\text{AdS}_4} \times \mathbb{C}{P^3} \) ⋮ Gauge theories on {\(\Omega\)}-backgrounds from non commutative Seiberg-Witten curves ⋮ Strings on semisymmetric superspaces ⋮ Y-system, TBA and quasi-classical strings in \(\mathrm{AdS}_{4} \times \mathbb{CP}^{3}\) ⋮ On wrapping corrections to GKP-like operators ⋮ First-principles derivation of the AdS/CFT Y-systems ⋮ Wronskian solution for AdS/CFT Y-system ⋮ The high spin expansion of twist sector dimensions: the planar \({\mathcal N}=4\) super Yang-Mills theory ⋮ PSU\((2, 2|4)\) character of quasiclassical AdS/CFT ⋮ Analytic solution of bremsstrahlung TBA ⋮ ABJM quantum spectral curve at twist 1: algorithmic perturbative solution ⋮ Exact results for the low energy \(AdS_{4}\times \mathbb{C}\mathbb{P}^{3}\) string theory ⋮ Toward an analytic perturbative solution for the ABJM quantum spectral curve ⋮ Finite size spectrum of \(\operatorname{SU}(N)\) principal chiral field from discrete Hirota dynamics

Cites Work

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• The all loop \(AdS_{4}/CFT_{3}\) Bethe ansatz
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
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• Wrapping interactions and a new source of corrections to the spin-chain/string duality
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• A TOPOLOGICAL INVARIANT OF RG FLOWS IN 2D INTEGRABLE QUANTUM FIELD THEORIES
• A thermodynamic Bethe ansatz for planar AdS/CFT: a proposal
• The dressing factor and crossing equations
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• The One-Dimensional Hubbard Model

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