Discrete Hirota dynamics for AdS/CFT
High Energy Physics - Theory
2009-11-13 v2
Abstract
Recently a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 supersymmetric Yang-Mills theory has been conjectured. These functional equations take the form of a Y-system defined on a special shaped domain. This Y-system can be equivalently reformulated as a T-system defined on a "T-shaped fat hook". The elements of the T-system satisfy discrete Hirota equations. In the present paper the discrete Hirota equations for AdS/CFT are solved by means of a chain of Backlund transformations and as a result TT-, TQ-, and QQ-relations are obtained for AdS/CFT.
Cite
@article{arxiv.0906.2546,
title = {Discrete Hirota dynamics for AdS/CFT},
author = {Arpad Hegedus},
journal= {arXiv preprint arXiv:0906.2546},
year = {2009}
}
Comments
published version, typos corrected