Null Polygonal Wilson Loops in Full N=4 Superspace
Niklas Beisert, Song He, Burkhard U. W. Schwab, Cristian Vergu
TL;DR
This paper calculates the one-loop expectation value of light-like polygonal Wilson loops in full N=4 superspace, connecting to known scattering amplitudes and discussing regularizations and anomalies.
Contribution
It provides the first computation of Wilson loops in full superspace, extending previous results and analyzing their relation to scattering amplitudes and anomalies.
Findings
Reproduces known NMHV tree-level amplitudes from superspace projections
Includes one-loop MHV amplitudes with additional non-amplitude terms
Discusses regularization methods and Yangian anomalies
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.
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