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The four-loop anomalous dimension of the Konishi operator in \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills theory

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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 gaugeinvariant operators and the spectrum of the string states in the framework of the gauge/string duality.

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  1. Theoretical Physics Department, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg, 188300, Russia

    V. N. Velizhanin

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Velizhanin, V.N. The four-loop anomalous dimension of the Konishi operator in \( \mathcal{N} \) = 4 Supersymmetric Yang-Mills theory. Jetp Lett. 89, 6–9 (2009). https://doi.org/10.1134/S0021364009010020

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