Yangian symmetry of light-like Wilson loops
arXiv:1011.4264 · doi:10.1007/JHEP11(2011)049
Abstract
We show that a certain class of light-like Wilson loops exhibits a Yangian symmetry at one loop, or equivalently, in an Abelian theory. The Wilson loops we discuss are equivalent to one-loop MHV amplitudes in N=4 super Yang-Mills theory in a certain kinematical regime. The fact that we find a Yangian symmetry constraining their functional form can be thought of as the effect of the original conformal symmetry associated to the scattering amplitudes in the N=4 theory.
15 pages, 5 figures
References in corpus (22)
- Gluon scattering amplitudes at strong coupling
- Classical Polylogarithms for Amplitudes and Wilson Loops
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
- Hexagon Wilson loop = six-gluon MHV amplitude
- The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
- An Operator Product Expansion for Polygonal null Wilson Loops
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
- Notes on the scattering amplitude / Wilson loop duality
- All tree-level amplitudes in N=4 SYM
- Exacting N=4 Superconformal Symmetry
- The Yangian origin of the Grassmannian integral
- One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
- Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
- Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
- On T-Duality and Integrability for Strings on AdS Backgrounds
- New differential equations for on-shell loop integrals
- Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
- Bootstrapping Null Polygon Wilson Loops
- Analytic Results for MHV Wilson Loops
- A Two-Loop Octagon Wilson Loop in N = 4 SYM