Konishi at strong coupling from ABE

TL;DR

This paper analytically derives the strong coupling scaling dimension of the Konishi operator in planar N=4 SYM, confirming leading terms with string theory and numerical TBA results, and discusses the cancellation of spurious logarithmic terms at third order.

Contribution

It provides an analytical derivation of the Konishi operator's scaling dimension at strong coupling from Bethe equations, highlighting the need to cancel spurious logarithmic terms for consistency.

Findings

First two terms match string and TBA results

Identification of spurious logarithm at third order

Importance of canceling the logarithm for consistency

Abstract

In this letter, we derive analytically the scaling dimension of the Konishi operator in planar 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 spurious logarithm of the coupling constant, which should be absent in the anomalous dimension of any finite operator of planar N=4 SYM theory. Showing the cancelation of this term would provide an important test at strong coupling for the recently proposed sets of TBA equations for planar AdS/CFT correspondence.