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

Heng-Yu Chen, Nick Dorey, Keisuke Okamura

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.

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

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.

Paper Structure

This paper contains 4 sections, 42 equations, 1 table.

Table of Contents

  1. 1.
  2. 2.
  3. 3.
  4. Appendix: Decomposition of ${\mathcal{N}}=4$ Fields into $SU(2)^{4}$ Representations