Universality of three gaugino anomalous dimensions in Script N = 4 SYM

Abstract

We study maximal helicity three gaugino operators in AE Super YangMills theory. We show that the lowest anomalous dimension of scaling operators with generic finite spin can be expressed in terms of the universal anomalous dimension appearing at twist-2. This statement is rigourously proved at three loops. The reason for this universality between sectors with different twist is the hidden psu´½ ½µ invariance of the su´¾ ½µ subsector of the theory.

Beyond cusp anomalous dimension from integrability

“…is the same for the operators with the smallest twist L = 2 (and determines also that of some twist three operators, see [17]). In fact, all twist two operators belong to the same supermultiplet, and their anomalous dimension is expressed in terms of a 'universal' function defined by the scalars γ univ.…”

QCD properties of twist operators in the 𝒩 = 6 Chern-Simons theory

“…· annihilation [7]. It is well tested in the gauge theory up to 5 loops and, surprisingly, it admits wide generalizations extending in some form to larger parts of psu´¾ ¾ µ [14,15,16,17,18,19,20]. Its test in string theory is definitely non trivial as discussed in [21].…”

The generalized scaling function of AdS/CFT and semiclassical string theory

“…Besides, one can also argue that large Ü physics can be related to the QCD one, being mostly related to the shared gauge sector. A recent example of this strategy is the analysis of a generalized Gribov-Lipatov reciprocity [8,9,10] for various twist-2 and twist-3 Wilson operators [11,12,13,14,15].…”