Null Polygonal Wilson Loops in Full N=4 Superspace

Abstract

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level next-to-maximally-helicity-violating (NMHV) scattering amplitude. The one-loop MHV amplitude is also included in our result but there are additional terms which do not immediately correspond to scattering amplitudes. We finally discuss different regularizations and their Yangian anomalies.

arXiv comment55 pages, v2: reference added

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• Yangian Symmetry of smooth Wilson Loops in N=4 super Yang-Mills Theory
• Integrability of Smooth Wilson Loops in N=4 Superspace
• Lightlike contours with fermions
• On the Geometry of Null Polygons in Full N=4 Superspace
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• Superpropagator and superconformal invariants
• Supersymmetric Duality in Deformed Superloop Space
• Twistors, Harmonics and Holomorphic Chern-Simons
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Twistor Parametrization of Locally BPS Super-Wilson Loops