AdS4/CFT3 at One Loop

TL;DR

This paper calculates one-loop corrections to classical string solutions in AdS4/CFT3, revealing a discrepancy between string theory and gauge theory results despite similar functional forms.

Contribution

It provides the first detailed one-loop sigma model correction for rotating strings in AdS4, highlighting differences with the dual Chern-Simons theory predictions.

Findings

Energy shift scales as E-S=f(lambda) ln S with specific lambda dependence.

Numerical value of one-loop correction differs from gauge theory calculations.

Functional form of the correction matches but coefficients differ.

Abstract

I consider semi-classical type IIA strings rotating in the AdS4 part of AdS4 X CP3. The one loop sigma model corrections to this classical solution are used to compute the energy shift, and the result is found to be E-S=f(lambda) ln S with f(lambda)= sqrt{2 lambda} - 5 ln 2 /2 pi + O (1/sqrt{lambda}). Even though the functional forms match, the actual numerical value of this one loop string result differs from the result obtained on the integrable N=6 Chern-Simons (ABJM) theory side.