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The Kondo system CeRuSn shows a strong anisotropy in its electric, optic and magnetic properties. We employ density functional theory plus dynamical mean field theory and show that the predominant Ce- state has total angular moment and -component in agreement with recent X-ray absorption experiments. Even though CeRuSn has the direct gap of a Kondo insulator through most of the Brillouin zone it remains weakly metallic. This is because of (i) a band crossing in the -direction and (ii) a negative indirect gap.

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