T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5

Abstract

In recent years two intriguing observations have been made for N=4 super Yang-Mills theory and for superstrings on AdS5xS5: In the planar limit the computation of the spectrum is vastly simplified by the apparent integrability of the models. Furthermore, planar scattering amplitudes of the gauge theory display remarkable features which have been attributed to the appearance of a dual superconformal symmetry. Here we review the connection of these two developments from the point of view of the classical symmetry by means of a super-T-self-duality. In particular, we show explicitly how the charges of conformal symmetry and of the integrable structure are related to the dual ones.

arXiv comment11 pages

References in corpus (31)

• Gluon scattering amplitudes at strong coupling
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Transcendentality and Crossing
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• On planar gluon amplitudes/Wilson loops duality
• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Near Horizon Superspace
• Simplifying superstring action on AdS_5 x S^5
• Superstrings on AdS_5 x S^5 supertwistor space
• On T-Duality and Integrability for Strings on AdS Backgrounds
• On Integrable Backgrounds Self-dual under Fermionic T-duality
• A k Gauge Fixed Type IIB Superstring Action on AdS_{5} X S_{5}
• Gluon scattering in N=4 super-Yang-Mills theory from weak to strong coupling
• Fundamental String and D1-brane in I-brane Background
• A Note on T-dualities in the Pure Spinor Heterotic String

Cited by in corpus (29)

• Scattering into the fifth dimension of N=4 super Yang-Mills
• Exacting N=4 Superconformal Symmetry
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• The Yangian origin of the Grassmannian integral
• Yangians, Grassmannians and T-duality
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• Self-Duality of Green-Schwarz Sigma-Models
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• An Operator Product Expansion for Form Factors
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• Symmetries of the N=4 SYM S-matrix
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Review of AdS/CFT Integrability, Chapter V.2: Dual Superconformal Symmetry
• Fermionic T-duality: A snapshot review
• Null Polygonal Wilson Loops in Full N=4 Superspace
• Theory of Superdualities and the Orthosymplectic Supergroup
• $O(d,d)$ transformations preserve classical integrability
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Yangian Symmetry in N=4 super Yang-Mills
• Dual conformal transformations of smooth holographic Wilson loops
• Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
• Supersums for all supersymmetric amplitudes
• Weak Separation, Positivity and Extremal Yangian Invariants