Discrete Hirota dynamics for AdS-CFT - High Energy Physics - TheoryReport as inadecuate




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Abstract: Recently a set of functional equations defining the anomalous dimensions ofarbitrary local single trace operators in planar N=4 supersymmetric Yang-Millstheory has been conjectured. These functional equations take the form of aY-system defined on a special shaped domain. This Y-system can be equivalentlyreformulated as a T-system defined on a -T-shaped fat hook-. The elements ofthe T-system satisfy discrete Hirota equations. In the present paper thediscrete Hirota equations for AdS-CFT are solved by means of a chain ofBacklund transformations and as a result TT-, TQ-, and QQ-relations areobtained for AdS-CFT.



Author: Arpad Hegedus

Source: https://arxiv.org/



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