Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet

TL;DR

This paper uses semiclassical string quantization to compute strong-coupling corrections to operator dimensions in the Konishi multiplet, aligning string theory results with integrability-based approaches in N=4 SYM.

Contribution

It extends previous semiclassical methods by including an extra S^5 angular momentum component, enabling precise matching with integrability results for Konishi multiplet operators.

Findings

Calculated leading strong-coupling corrections for Konishi multiplet operators.

Found the correction coefficient for J=2 states is twice that of previous simpler models.

Confirmed the string theory results agree with Y-system/TBA calculations, resolving earlier discrepancies.

Abstract

Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS_5 x S^5 string states on the first excited string level that should correspond to operators in the Konishi multiplet of N=4 SYM theory. Compared to examples in our previous paper the string solutions we consider here carry an extra component of S^5 angular momentum J. This facilitates their identification with operators in the Konishi multiplet. We show that for such string states with J=2 the coefficient of the subleading lambda^(-1/4) term in the large string tension expansion of the energy is twice the one found in arXiv:0906.4294. The resulting value matches the one found for the Konishi state in the sl(2) sector from the Y-system/TBA approach, resolving an apparent disagreement claimed earlier.