Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5

Abstract

We review the semiclassical analysis of strings in AdS5xS5 with a focus on the relationship to the underlying integrable structures. We discuss the perturbative calculation of energies for strings with large charges, using the folded string spinning in an AdS3 subset of AdS5 as our main example. Furthermore, we review the perturbative light-cone quantization of the string theory and the calculation of the worldsheet S-matrix.

20 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated

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• Giant Magnons
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Logarithmic scaling in gauge/string correspondence
• On AdS_5 x S^5 String S-matrix
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
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• A Universality Test of the Quantum String Bethe Ansatz
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Pohlmeyer reduction revisited
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Exact expressions for quantum corrections to spinning strings
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• World-sheet scattering in AdS_5 x S^5 at two loops
• On reduced models for superstrings on AdS_n x S^n
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• Quark-antiquark potential in AdS at one loop
• Scaling function in AdS/CFT from the O(6) sigma model
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Quantum corrections to energy of short spinning string in AdS5
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
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• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
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• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Quantum Scattering of Giant Magnons
• On the perturbative S-matrix of generalized sine-Gordon models
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Semiclassical Quantization of the Giant Magnon

Cited by in corpus (12)

• Integrability of the AdS_5 x S^5 superstring and its deformations
• Two-dimensional S-matrices from unitarity cuts
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• A light-cone approach to three-point functions in AdS_5 x S^5
• Macroscopic (and Microscopic) Massless Modes
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Green-Schwarz superstring on the lattice
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• On regularizing the AdS superstring worldsheet