Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings

TL;DR

This paper computes one-loop string partition functions in AdS_4 x CP^3 and related backgrounds, providing predictions for the ABJM cusp anomalous dimension and extending techniques from AdS_5/CFT_4 to lower-dimensional dualities.

Contribution

It presents the exact one-loop partition functions for specific string configurations in AdS_4 x CP^3 and related backgrounds, advancing the understanding of integrability and anomalous dimensions in ABJM and lower-dimensional dualities.

Findings

Exact one-loop partition function for strings ending on a cusp in AdS_4 x CP^3.

Prediction of the ABJM generalized cusp anomalous dimension up to NLO.

Partition functions for folded strings in AdS_3-based backgrounds.

Abstract

We evaluate the exact one-loop partition function for fundamental strings whose world-surface ends on a cusp at the boundary of AdS_4 and has a "jump" in CP^3. This allows us to extract the stringy prediction for the ABJM generalized cusp anomalous dimension Gamma_{cusp}^{ABJM} (phi,theta) up to NLO in sigma-model perturbation theory. With a similar analysis, we present the exact partition functions for folded closed string solutions moving in the AdS_3 parts of AdS_4 x CP^3 and AdS_3 x S^3 x S^3 x S^1 backgrounds. Results are obtained applying to the string solutions relevant for the AdS_4/CFT_3 and AdS_3/CFT_2 correspondence the tools previously developed for their AdS_5 x S^5 counterparts.