Space-like minimal surfaces in \(AdS\) {\(\times\)} \(S\)

DOI10.1007/JHEP04(2010)004zbMath1272.81149arXiv0912.3829MaRDI QIDQ367889

Chrysostomos Kalousios, Nadav Drukker, Harald Dorn, G. P. Dzhordzhadze

Publication date: 16 September 2013

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

Full work available at URL: https://arxiv.org/abs/0912.3829

zbMATH Keywords

AdS-CFT correspondenceintegrable field theoriesbosonic strings

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Wilson loops and minimal area surfaces in hyperbolic space ⋮ Minimal area surfaces dual to Wilson loops and the Mathieu equation ⋮ Euclidean Wilson loops and minimal area surfaces in Lorentzian \(\mathrm{AdS}_{3}\) ⋮ Constant mean curvature surfaces in \(AdS_3\) ⋮ Thermodynamic Bethe ansatz equations for minimal surfaces in \(AdS_3\) ⋮ Review of AdS/CFT integrability, chapter II.1: Classical \(AdS _{5} \times S ^{5}\) string solutions ⋮ Review of AdS/CFT integrability, chapter V.3: Scattering amplitudes at strong coupling ⋮ Octagons I: combinatorics and non-planar resummations ⋮ From polygon Wilson loops to spin chains and back

Cites Work

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• Pohlmeyer reduction revisited
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• The algebraic curve of classical superstrings on \(\mathrm{AdS}_{5} \times S^{5}\)
• Pohlmeyer reduction of \(\text{AdS}_5\times S^5\) superstring sigma model
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Pohlmeyer-reduced form of string theory in AdS₅×S⁵: semiclassical expansion
• A generalized scaling function for AdS/CFT

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