The integrable O(6) model and the correspondence: checks and predictions

Abstract

We exactly compute the energy density of the integrable O(n) non-linear sigma model as a convergent series. This series is specifically analysed for the very important O(6) symmetry, since it was suggested to result as a peculiar limit of the AdS string theory by Alday and Maldacena [1]. In this respect, the O(6) model gives also refined confirmations and predictions once compared with the SYM Bethe Ansatz [2,3].

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Cited by in corpus (13)

• Four loop twist two, BFKL, wrapping and strings
• Comment on the Scaling Function in AdS4 x CP3
• Scaling function in AdS/CFT from the O(6) sigma model
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Beyond cusp anomalous dimension from integrability
• Nonperturbative scales in AdS/CFT
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• The generalised scaling function: a note
• The generalised scaling function: a systematic study
• Spiky strings in the SL(2) Bethe Ansatz
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling