The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory

Abstract

This review is devoted to collecting some results on the high spin expansion of (minimal) anomalous dimension. Thanks to the recent rationale on integrability, planar $\mathcal{N}=4$ super Yang-Mills theory (or its ${\text{AdS}}_5\times {\text{S}}^5$ string counterpart) represents a very practicable field. Here the attention will be restricted to its sector of twist operators, although the analysis tools are quite general (in integrable theories). Some structures and ideas turn out to be general also for other sectors or gauge theories.

arXiv comment27 pages, review article submitted to Advances in High Energy Physics, special issue on the "Gauge/String duality"; v2: references added, typos corrected

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• Yangians, S-matrices and AdS/CFT
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• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT