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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References in corpus (7)

• Logarithmic scaling in gauge/string correspondence
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• A Generalized Scaling Function for AdS/CFT
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result

Cited by in corpus (5)

• 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
• Nonperturbative scales in AdS/CFT
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory