The generalized cusp in AdS₄ × ℂp³ and more one-loop results from semiclassical strings

We evaluate the exact one-loop partition function for fundamental strings whose world surface ends on a cusp at the boundary of AdS₄ and has a 'jump' in . This allows us to extract the stringy prediction for the ABJM-generalized cusp anomalous dimension Γ^ABJM_cusp (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 and AdS₃ × S³ × S³ × S¹ backgrounds. Results are obtained applying to the string solutions relevant for the AdS ₄/CFT₃ and AdS₃/CFT₂ correspondence the tools previously developed for their AdS₅ × S⁵ counterparts.