Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
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.
Keywords
Cite
@article{arxiv.1204.3302,
title = {Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings},
author = {V. Forini and V. Giangreco M. Puletti and O. Ohlsson Sax},
journal= {arXiv preprint arXiv:1204.3302},
year = {2014}
}
Comments
48 pages, 2 figures, version 3, corrected misprints in formulas 2.12, B.86, C.33, added comment on verification of the light-like limit