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Konishi at strong coupling from ABE

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Adam Rej and Fabian Spill

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FAST TRACK COMMUNICATION

In this communication, we derive analytically the scaling dimension of the Konishi operator in the planar \mathcal {N}=4 gauge theory at strong coupling from the asymptotic Bethe equations. The first two leading terms agree with the recent string computation and numerical analysis of TBA equations. At the third order we find a spurious logarithm of the coupling constant, which should be absent in the anomalous dimension of any finite operator of the planar \mathcal {N}=4 SYM theory. Showing the cancellation of this term would provide an important test at strong coupling of the recently proposed sets of TBA equations for the planar AdS/CFT correspondence.


PACS

11.15.Me Strong-coupling expansions

11.25.Hf Conformal field theory, algebraic structures

11.10.Jj Asymptotic problems and properties

11.30.Pb Supersymmetry

MSC

81T40 Two-dimensional field theories, conformal field theories, etc.

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

81T60 Supersymmetric field theories

Subjects

Particle physics and field theory

Dates

Issue 44 (6 November 2009)

Received 31 August 2009

Published 8 October 2009



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