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Advances in High Energy Physics
Volume 2010 (2010), Article ID 614130, 30 pages
Review Article

The High Spin Expansion of Twist Sector Dimensions: The Planar 𝒩 = 4 Super Yang-Mills Theory

1Sezione INFN di Bologna, Dipartimento di Fisica, Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy
2Dipartimento di Fisica dell'Università della Calabria and INFN, Gruppo Collegato di Cosenza, 87036 Arcavacata di Rende, Cosenza, Italy

Received 13 March 2010; Accepted 12 April 2010

Academic Editor: Alfonso V. Ramallo

Copyright © 2010 Davide Fioravanti and Marco Rossi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 𝒩 = 4 super Yang-Mills theory (or its A d S 5 × 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.