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

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

2006-03-14

arxiv.org/abs/hep-th/0603113v1

JHEP 0605:033,2006

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex

Scientific paper

10.1088/1126-6708/2006/05/033

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} \psi^M) where Z is a complex scalar and \psi is a component of gaugino. We show that this state corresponds to the operator tr(\psi^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.

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