Discrete Hirota dynamics for AdS/CFT

Details Discrete Hirota dynamics for AdS/CFT Discrete Hirota dynamics for AdS/CFT

2009-06-14

arxiv.org/abs/0906.2546v2

Nucl.Phys.B825:341-365,2010

Physics

High Energy Physics

High Energy Physics - Theory

published version, typos corrected

Scientific paper

10.1016/j.nuclphysb.2009.09.012

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.

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