TL;DR
This paper solves the discrete Hirota equations related to the AdS/CFT correspondence using Backlund transformations, leading to new TT-, TQ-, and QQ-relations that advance understanding of integrable structures in this context.
Contribution
It introduces a novel method to solve the Hirota equations for AdS/CFT, deriving important relations that deepen the integrability framework in the theory.
Findings
Derived TT-, TQ-, and QQ-relations for AdS/CFT
Solved the Hirota equations using Backlund transformations
Enhanced the understanding of integrable structures in AdS/CFT
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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