6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values

Details 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values

2010-10-27

arxiv.org/abs/1010.5606v3

JHEP 1101:054,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, references added

Scientific paper

10.1007/JHEP01(2011)054

Anomalous dimension of the simplest nontrivial single impurity operator in the beta=1/2 deformed theory is determined at six loops from the AdS/CFT correspondence. L\"uscher correction is evaluated at next-to-next-to-leading order (NNLO) in terms of multiple zeta values. The result can be simplified into the products of simple zeta functions and the same form of the correction is expected for the Konishi operator at six loops, too.

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