Antiferromagnetic Operators in N=4 Supersymmetric Yang-Mills Theory

Abstract

The spectrum of operators in the su(2) sector of N=4 SYM is bounded because the number of operators is finite. According to the AdS/CFT correspondence, the string spectrum in this sector should be also bounded. In this paper the upper bound on the scaling dimension is calculated in the limit of the large R-charge using Bethe ansatz.

Figures (1)

• Figure 1: The density of Bethe roots ($2\pi \rho/ \sqrt{\lambda }$) as a function of the scaling variable $U=2\pi u/\sqrt{\lambda }$ at $\lambda =7$ (left pane); $\lambda =30$ (middle pane); and $\lambda =2000$ (right pane).