The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain

Details The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain

2006-10-27

arxiv.org/abs/hep-th/0610295v1

JHEP 0703:005,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, No figure

Scientific paper

10.1088/1126-6708/2007/03/005

In this paper we discuss the asymptotic spectrum of the spin chain description of planar N=4 SUSY Yang-Mills. The states appearing in the spectrum belong to irreducible representations of the unbroken supersymmetry SU(2|2) x SU(2|2) with non-trivial extra central extensions. The elementary magnon corresponds to the bifundamental representation while boundstates of Q magnons form a certain short representation of dimension 16Q^{2}. Generalising the Beisert's analysis of the Q=1 case, we derive the exact dispersion relation for these states by purely group theoretic means.

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