Discrete Hirota dynamics for AdS/CFT

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25 Citations (Scopus)

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 Bäcklund transformations and as a result TT-, TQ-, and QQ-relations are obtained for AdS/CFT.

Original languageEnglish
Pages (from-to)341-365
Number of pages25
JournalNuclear Physics B
Volume825
Issue number3
DOIs
Publication statusPublished - Feb 1 2010

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Discrete Hirota dynamics for AdS/CFT. / Hegedus, Árpád.

In: Nuclear Physics B, Vol. 825, No. 3, 01.02.2010, p. 341-365.

Research output: Contribution to journalArticle

Hegedus, Árpád. / Discrete Hirota dynamics for AdS/CFT. In: Nuclear Physics B. 2010 ; Vol. 825, No. 3. pp. 341-365.
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