期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
卷 26, 期 26, 页码 4553-4583出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X11054590
关键词
Giant gravitons; AdS/CFT correspondence; super-Yang-Mills theory
We compute the one-loop anomalous dimensions of restricted Schur polynomials with a classical dimension Delta similar to O(N). The operators that we consider are labeled by Young diagrams with two long columns or two long rows. Simple analytic expressions for the action of the dilatation operator are found. The projection operators needed to define the restricted Schur polynomials are constructed by translating the problem into a spin chain language, generalizing earlier results obtained in the SU(2) sector of the theory. The diagonalization of the dilatation operator reduces to solving five term recursion relations. The recursion relations can be solved exactly in terms of products of symmetric Kravchuk polynomials with Hahn polynomials. This proves that the dilatation operator reduces to a decoupled set of harmonic oscillators and therefore it is integrable, extending a similar conclusion reached for the SU(2) sector of the theory.
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