Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing

Abstract

This review is devoted to the classical integrability of the AdS5xS5 superstring theory. It starts with a reminder of the corresponding action as a coset model. The symmetries of this action are then reviewed. The classical integrability is then considered from the lagrangian and hamiltonian points of view. The second part of this review deals with the gauge fixing of this theory. Finally, some aspects of the pure spinor formulation are also briefly reviewed.

18 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated; v3: minor corrections

References in corpus (21)

• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Finite-size Effects from Giant Magnons
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
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• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
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Cited by in corpus (19)

• An integrable deformation of the AdS_5 x S^5 superstring action
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Gauge Theory and Integrability, II
• Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• 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
• Yangians, S-matrices and AdS/CFT
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Construction of Lax Connections by Exponentiation
• Yangian Algebra and Correlation Functions in Planar Gauge Theories
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• Integrability structures in string theory
• PSU(2,2|4) Exchange Algebra of N=4 Superconformal Multiplets
• Super Yangian of superstring on AdS5xS5 revisited
• Killing scalar of non-linear sigma models on G/H realizing the classical exchange algebra