On n-point Amplitudes in N=4 SYM
arXiv:0708.1625 · doi:10.1088/1126-6708/2007/11/021
Abstract
The computation of n-point planar amplitudes in N=4 SYM at strong coupling is known to be reduced to the search for solutions of the integrable 2d SO(4,2) sigma-model with growing asymptotics on the world-sheet and to the study of their Whitham deformations induced by an epsilon-regularization, which breaks both integrability and SO(4,2) symmetry. A multi-parameter (moduli) family of such solutions is constructed for n=4. They all correspond to the same s and t and some are related by SO(4,2) transformations. Nevertheless, they lead to different regularized areas, whose minimum is the Alday-Maldacena solution. A brief review of results on n-point amplitudes is also provided, with special emphasis on the underlying equivalence of the above regularized minimal area in AdS and a double contour integral along the same boundary, two purely geometric quantities.
minor cosmetic changes, references added in the introduction
References in corpus (63)
- Gauge Theory Correlators from Non-Critical String Theory
- Large N Field Theories, String Theory and Gravity
- Strings in flat space and pp waves from Super Yang Mills
- Wilson loops in large N field theories
- The Bethe-Ansatz for N=4 Super Yang-Mills
- Lecture Notes on Holographic Renormalization
- Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Modeling the fifth dimension with scalars and gravity
- Gluon scattering amplitudes at strong coupling
- Hidden Symmetries of the AdS_5 x S^5 Superstring
- A semi-classical limit of the gauge/string correspondence
- Hard Scattering and Gauge/String Duality
- Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
- The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
- On the Holographic Renormalization Group
- Semiclassical quantization of rotating superstring in AdS_5 x S^5
- Wilson Loops and Minimal Surfaces
- Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
- Integrability and Seiberg-Witten Exact Solution
- Deep Inelastic Scattering and Gauge/String Duality
- Classical/quantum integrability in AdS/CFT
- Gravitational Stability and Renormalization-Group Flow
- Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
- Structure functions for large and renormalization of Wilson loops
- NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
- Spacetime and the Holographic Renormalization Group
- Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence
- One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
- The Supergravity Dual of N=1 Super Yang-Mills Theory
- Continuous distributions of D3-branes and gauged supergravity
- One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits
- A remark on the AdS/CFT correspondence and the renormalization group flow
- RG-Flow, Gravity and the Cosmological Constant
- Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
- Anomalous dimensions of Wilson operators in N=4 SYM theory
- String Theory and Quark Confinement
- Geometric Holography, the Renormalization Group and the c-Theorem
- A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
- Holographic Renormalization of Probe D-Branes in AdS/CFT
- Integrability in QCD and beyond
- Simplifying superstring action on AdS_5 x S^5
- From Free Fields to
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- High energy scattering and the AdS/CFT correspondence
- Worldsheet Scattering in AdS_5 x S^5
- On Integrability of Classical SuperStrings in AdS_5 x S^5
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- High energy scattering in QCD and cross singularities of Wilson loops
- Introduction to the Maldacena Conjecture on AdS/CFT
- RG Equations from Whitham Hierarchy
- Prepotential and the Seiberg-Witten Theory
- The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
- A Symplectic Structure for String Theory on Integrable Backgrounds
- Dimensionally regulated one-loop box scalar integrals with massless internal lines
- Light-Cone Wilson Loops and the String/Gauge Correspondence
- World-sheet scattering in AdS_5 x S^5 at two loops
- Infrared Limit of Gluon Amplitudes at Strong Coupling
- Gluino-Condensate (CIV-DV) Prepotential from its Whitham-Time Derivatives
- On Renormalization Group in Abstract QFT
- An introduction to AdS/CFT correspondence
- On RG-flow and the Cosmological Constant
- A Solvable Sector of AdS Theory
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- The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
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- On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
- On spacelike and timelike minimal surfaces in
- Quark scattering amplitudes at strong coupling
- Comments on gluon 6-point scattering amplitudes in N=4 SYM at strong coupling
- A note on string solutions in AdS_3
- Boundary Ring: a way to construct approximate NG solutions with polygon boundary conditions: I. Z_n-symmetric configurations
- Constant mean curvature surfaces in AdS_3
- A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling
- Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
- Series Solution and Minimal Surfaces in AdS
- Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
- Deviation from Alday-Maldacena Duality For Wavy Circle
- Conformal SO(2,4) Transformations for the Helical AdS String Solution
- Spiky Strings with Two Spins in AdS5
- Note About String with Euclidean World-Sheet in AdS(5)xS(5)