Quantum Strings and the AdS4/CFT3 Interpolating Function

TL;DR

This paper investigates quantum corrections in the AdS4/CFT3 correspondence, focusing on the interpolating function h(λ), and compares different cutoff prescriptions through giant magnon calculations and finite-J effects.

Contribution

It provides a detailed calculation of quantum corrections for giant magnons using the algebraic curve and compares various cutoff prescriptions in the CP3 sector.

Findings

Different cutoff prescriptions yield the same constant c in the dispersion relation.

A mismatch is observed in finite-J effects for one of the sum prescriptions.

Computed dyonic and higher F-terms for future analysis.

Abstract

The existence of a nontrivial interpolating function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.