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.

11 pages

References in corpus (13)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• 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
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Gluon scattering in N=4 super-Yang-Mills theory from weak to strong coupling
• Fundamental String and D1-brane in I-brane Background

Cited by in corpus (11)

• Exacting N=4 Superconformal Symmetry
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• The Yangian origin of the Grassmannian integral
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• Symmetries of the N=4 SYM S-matrix
• Fermionic T-duality: A snapshot review
• Null Polygonal Wilson Loops in Full N=4 Superspace
• Theory of Superdualities and the Orthosymplectic Supergroup
• Dual conformal transformations of smooth holographic Wilson loops