Integrability for the Full Spectrum of Planar AdS/CFT
High Energy Physics - Theory
2009-12-17 v3
Abstract
We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background. This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently proposed AdS_4/CFT_3 duality is also treated in a similar fashion.
Cite
@article{arxiv.0901.3753,
title = {Integrability for the Full Spectrum of Planar AdS/CFT},
author = {Nikolay Gromov and Vladimir Kazakov and Pedro Vieira},
journal= {arXiv preprint arXiv:0901.3753},
year = {2009}
}
Comments
5 pages, 2 figures. v2: Typos corrected, references added, wrapping effects in AdS4/CFP3 corrected, v3: Typos corrected