Abstract

We evaluate the exact one-loop partition function for fundamental strings whose worldsurface ends on a cusp at the boundary of AdS4 and has a “jump” in CP3. This allows us to extract the stringy prediction for the ABJM generalized cusp anomalous dimension ΓABJMcusp (φ, θ) 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 AdS3 parts of AdS4 ×CP3 and AdS3×S3×S3×S1 backgrounds. Results are obtained applying to the string solutions relevant for the AdS4/CFT3 and AdS3/CFT2 correspondence the tools previously developed for their AdS5 × S5 counterparts.

Publication Type:	Article
Additional Information:	This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8113/46/11/115402.
Departments:	School of Science & Technology > Mathematics

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