Baxter equation for long-range SL(2|1) magnet

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.

12 pages, 1 figure

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• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Analytic solution of the multiloop Baxter equation
• Reciprocity of gauge operators in N=4 SYM
• Strong coupling expansion of Baxter equation in N=4 SYM
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Fusion hierarchies for N = 4 superYang-Mills theory
• Universality of three gaugino anomalous dimensions in N=4 SYM
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
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• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
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