TL;DR
This paper reviews the integrability properties of planar N=4 SYM theory within the AdS/CFT correspondence, highlighting recent discoveries, limitations due to wrapping interactions, and potential tests when these interactions are negligible.
Contribution
It provides a comprehensive review of asymptotic integrability in N=4 SYM and discusses new dynamical tests of AdS/CFT where wrapping interactions are minimal.
Findings
Asymptotic integrability is established in planar N=4 SYM.
Wrapping interactions cause breakdown of integrability beyond the asymptotic region.
Potential dynamical tests of AdS/CFT are identified when wrapping effects are negligible.
Abstract
In this article we review the recently discovered asymptotic integrability in the planar N = 4 SYM theory and discuss its breakdown beyond the asymptotic region due to the wrapping interactions. We also discuss novel dynamical tests of the AdS/CFT correspondence one can perform in the special cases when the wrapping interactions may be neglected.
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