Five loop Konishi from AdS/CFT

Z. Bajnok, A. Hegedűs, Romuald A. Janik, Tomasz Łukowski

Research output: Contribution to journalArticle

83 Citations (Scopus)

Abstract

We derive the perturbative five loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating finite size effects using Lüscher formulas adapted to multimagnon states at weak coupling. In addition, we derive the five loop wrapping contribution for the L = 2 single impurity state in the β deformed theory, which may be within reach of a direct perturbative computation. The Konishi expression exhibits two new features - a modification of Asymptotic Bethe Ansatz quantization and sensitiveness to an infinite set of coefficients of the BES/BHL dressing phase. The result satisfies nontrivial self-consistency conditions - simple transcendentality structure and cancellation of μ-term poles. It may be a testing ground for the proposed AdS/CFT TBA systems.

Original languageEnglish
Pages (from-to)426-456
Number of pages31
JournalNuclear Physics B
Volume827
Issue number3
DOIs
Publication statusPublished - Mar 11 2010

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cancellation
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strings
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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Five loop Konishi from AdS/CFT. / Bajnok, Z.; Hegedűs, A.; Janik, Romuald A.; Łukowski, Tomasz.

In: Nuclear Physics B, Vol. 827, No. 3, 11.03.2010, p. 426-456.

Research output: Contribution to journalArticle

Bajnok, Z. ; Hegedűs, A. ; Janik, Romuald A. ; Łukowski, Tomasz. / Five loop Konishi from AdS/CFT. In: Nuclear Physics B. 2010 ; Vol. 827, No. 3. pp. 426-456.
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