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

Heng-Yu Chen·Nick Dorey·Keisuke Okamura
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Abstract

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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Heng-Yu Chen, Nick Dorey, Keisuke Okamura. 2006-10-27. The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F005

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