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Superconformal operators in Yang-Mills theories on the light-cone

A. V. Belitsky·S. E. Derkachov·G. P. Korchemsky·A. N. Manashov
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Abstract

We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N=1,2,4 supercharges. These operators have an autonomous scale dependence to one-loop order and determine the eigenfunctions of the dilatation operator in the underlying gauge theory. We demonstrate that for arbitrary N the superconformal operators are given by remarkably simple, universal expressions involving the light-cone superfields. When written in components field, they coincide with the known results obtained by conventional techniques.

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A. V. Belitsky, S. E. Derkachov, G. P. Korchemsky, A. N. Manashov. 2005-03-17. Superconformal operators in Yang-Mills theories on the light-cone. https://doi.org/10.1016/j.nuclphysb.2005.06.007

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