Letters in Mathematical Physics

, Volume 99, Issue 1, pp 277–297

Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections


    • Institute of PhysicsJagiellonian University
Open AccessArticle

DOI: 10.1007/s11005-011-0511-z

Cite this article as:
Janik, R.A. Lett Math Phys (2012) 99: 277. doi:10.1007/s11005-011-0511-z


In integrable quantum field theories, the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles circulating around the cylinder, are encoded in so-called Lüscher corrections. In order to apply these techniques to the AdS/CFT correspondence, one has to generalize these corrections to the case of generic dispersion relations and to multiparticle states. We review these various generalizations and the applications of Lüscher’s corrections to the study of the worldsheet QFT of the superstring in AdS 5 × S 5 and, consequently, to anomalous dimensions of operators in \({\mathcal{N}=4}\) SYM theory.

Mathematics Subject Classification (2010)

81T30 81T40 81U15 81U20


AdS/CFT correspondence integrability integrable quantum field theory.

Copyright information

© The Author(s) 2011