Dilatation operator and Cayley graphs

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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30 pages and 3 eps figures, v2: few typos corrected

Scientific paper

10.1088/1126-6708/2008/07/110

We use the algebraic definition of the Dilatation operator provided by
Minahan, Zarembo, Beisert, Kristijansen, Staudacher, proper for single trace
products of scalar fields, at leading order in the large-N 't Hooft limit to
develop a new approach to the evaluation of the spectrum of the Dilatation
operator. We discover a vast number of exact sequences of eigenstates.

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