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Abstract: We provide a direct prescription for computing the mixing among gaugeinvariant operators in N=4 SYM. Our approach is based on the action of thesuperalgebra on the states of the theory and thus it can be also applied toresolve the mixing in the dual string description. As an example, we focus onthe supermultiplet containing the BMN operators with two impurities. On thefield theory side, we derive the leading planar quantum corrections to thenaive expression of the highest weight state. Then we use the same prescriptionin the BMN limit of the AdS5xS5 string theory and derive the form of the2-impurity highest weight state. The string expression matches nicely the SYMresult and provides a prediction for the mixing due to higher order quantumcorrections in field theory.



Autor: George Georgiou, Valeria L. Gili, Rodolfo Russo

Fuente: https://arxiv.org/







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