The generalized cusp in AdS(4) x CP3 and more one-loop results from semiclassical strings

Journal article, 2013

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 CP3. This allows us to extract the stringy prediction for the ABJM-generalized cusp anomalous dimension Gamma(ABJM)(cusp) (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 CP3 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)/CFT3 and AdS(3)/CFT2 correspondence the tools previously developed for their AdS(5) x S-5 counterparts.