The Yangian origin of the Grassmannian integral
arXiv:1002.4622 · doi:10.1007/JHEP12(2010)010
Abstract
In this paper we analyse formulas which reproduce different contributions to scattering amplitudes in N=4 super Yang-Mills theory through a Grassmannian integral. Recently their Yangian invariance has been proved directly by using the explicit expression of the Yangian level-one generators. The specific cyclic structure of the form integrated over the Grassmannian enters in a crucial way in demonstrating the symmetry. Here we show that the Yangian symmetry fixes this structure uniquely.
26 pages. v2: typos corrected, published version
References in corpus (17)
- 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
- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
- Hexagon Wilson loop = six-gluon MHV amplitude
- Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
- A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
- All tree-level amplitudes in N=4 SYM
- Exacting N=4 Superconformal Symmetry
- Sharpening The Leading Singularity
- One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
- On T-Duality and Integrability for Strings on AdS Backgrounds
- Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory
- Eliminating spurious poles from gauge-theoretic amplitudes
- T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
- Symmetries of the N=4 SYM S-matrix
Cited by in corpus (10)
- Notes on the scattering amplitude / Wilson loop duality
- New differential equations for on-shell loop integrals
- Simple loop integrals and amplitudes in N=4 SYM
- The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM
- Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
- Efficient Tree-Amplitudes in N=4: Automatic BCFW Recursion in Mathematica
- Inverse Soft Factors and Grassmannian Residues
- Yangian in the Twistor String
- Commuting Conformal and Dual Conformal Symmetries in the Regge limit
- Higher Codimension Singularities Constructing Yang-Mills Tree Amplitudes