Quantum folded string in S^5 and the Konishi multiplet at strong coupling

TL;DR

This paper investigates the strong coupling spectrum of the Konishi multiplet in AdS/CFT using algebraic curve methods, confirming universality of quantum corrections within the multiplet.

Contribution

It applies the algebraic curve approach to compute quantum corrections for the su(2) state of the Konishi multiplet, extending previous results for the sl(2) state.

Findings

Confirmed universality of quantum corrections inside the multiplet

Computed the correction to the su(2) state at strong coupling

Extended integrability methods to analyze multiplet spectrum

Abstract

The Konishi superconformal multiplet is an important theoretical laboratory where one can test AdS/CFT methods to compute strong coupling corrections to the spectrum of superstrings in AdS_5 x S^5. In particular, one can exploit integrability for finite charge states/operators. The multiplet ground state is a singlet operator with two simple descendants in the rank-1 sectors sl(2) and su(2) of N=4 super Yang-Mills theory. Recently, the next-to-leading quantum correction to the sl(2) state has been computed. Here, we use the algebraic curve approach to determine the correction to the other state recovering universality of the correction inside the multiplet.