Baxter equation for long-range SL(2|1) magnet
A.V. Belitsky
TL;DR
This paper develops a Baxter equation for the SL(2|1) sector in N=4 SYM, enabling computation of anomalous dimensions of operators using the analytical Bethe Ansatz, and validates it against perturbative results.
Contribution
It introduces a long-range Baxter equation for the SL(2|1) sector, extending integrability methods to this supersymmetric gauge theory sector.
Findings
Baxter equation accurately predicts anomalous dimensions.
Comparison with multiloop calculations confirms validity.
Provides a new tool for analyzing operator spectra.
Abstract
We construct a long-range Baxter equation encoding anomalous dimensions of composite operators in the SL(2|1) sector of N = 4 supersymmetric Yang-Mills theory. The formalism is based on the analytical Bethe Ansatz. We compare predictions of the Baxter equations for short operators with available multiloop perturbative calculations.
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