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VOLUME 89 | ISSUE 1 | PAGE 8
The four-loop anomalous dimension of the Konishi operator in \boldsymbol{{\mathcal N}=4} Supersymmetric Yang-Mills theory
V. N. Velizhanin
Theoretical Physics Department, Petersburg Nuclear Physics Institute
188300 Gatchina, St. Petersburg, Russia


PACS: 11.15.-q, 11.25.Tq, 11.30.Pb, 12.38.Bx
Abstract
We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in {\mathcal N} =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield and superstring computations, which take into account finite size corrections to the all-loop asymptotic Bethe ansatz for the integrable models describing the spectrum of the anomalous dimensions of the gauge-invariant operators and the spectrum of the string states in the framework of the gauge/string duality.


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