On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory

Abstract

We consider the highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory containing operators of the form tr(Z^{L-M} ψ^M) where Z is a complex scalar and ψis a component of gaugino. We show that this state corresponds to the operator tr(ψ^L) and can be viewed as an analogue of the antiferromagnetic state in the su(2) sector. We find perturbative expansions of the energy of this state in both weak and strong 't Hooft coupling regimes using asymptotic gauge theory Bethe ansatz equations. We also discuss a possible analog of this state in the conjectured string Bethe ansatz equations.

arXiv comment23 pages, Latex

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• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• Nesting and Dressing
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
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