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

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.

29 pages, Latex

References in corpus (4)

• Spinning strings and AdS/CFT duality
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• N=2 Super Yang-Mills and the XXZ spin chain
• The complete one-loop spin chain for N=2 Super-Yang-Mills

Cited by in corpus (20)

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• Spinning Gluons from the QCD Light-Ray OPE
• Integrability of two-loop dilatation operator in gauge theories
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Baxter equation for long-range SL(2|1) magnet
• Reciprocity of gauge operators in N=4 SYM
• Universality of three gaugino anomalous dimensions in N=4 SYM
• Renormalization of twist-four operators in light-cone gauge
• Revisiting instanton corrections to the Konishi multiplet
• Dual conformal symmetry on the light-cone
• Sum rules for higher twist sl(2)operators in N=4 SYM
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Instanton corrections to twist-two operators
• QCD-like properties for anomalous dimensions in N=4 SYM
• Superfield twist-$2$ operators in $\mathcal{N}=1$ SCFTs and their renormalization-group improved generating functional in $\mathcal{N}=1$ SYM theory