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arXiv · 0906.2546

Discrete Hirota dynamics for AdS/CFT

Arpad Hegedus
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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.

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Arpad Hegedus. 2009-11-13. Discrete Hirota dynamics for AdS/CFT. https://doi.org/10.1016/j.nuclphysb.2009.09.012

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