id: 05907807 dt: j an: 05907807 au: Brandhuber, Andreas; Spence, Bill; Travaglini, Gabriele; Yang, Gang ti: Form factors in ${\cal N} = 4$ super Yang-Mills and periodic Wilson loops. so: J. High Energy Phys. 2011, No. 1, 134, 22 p., electronic only (2011). py: 2011 pu: Springer, Berlin la: EN cc: ut: supersymmetric gauge theory; extended supersymmetry; ads-CFT correspondence; gauge symmetry ci: li: doi:10.1007/JHEP01(2011)134 ab: Summary: We calculate form factors of half-BPS operators in ${\cal N} = 4$ super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors with two scalars and an arbitrary number of positive-helicity gluons. These quantities resemble closely the MHV scattering amplitudes, including holomorphicity of the tree-level form factor, and the expansion in terms of two-mass easy box functions of the one-loop result. Next, we compare our result for these form factors to the calculation of a particular periodic Wilson loop at one loop, finding agreement. This suggests a novel duality relating form factors to periodic Wilson loops. rv: