Generalized cusp in AdS4 × CP³ and more one-loop results from semiclassical strings

Generalized cusp in AdS4 × CP³ and more one-loop results from semiclassical strings (2014)

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by V. Forinia , V. Giangreco M. Puletti , O. Ohlsson Sax

BibTeX

@MISC{Forinia14generalizedcusp,
    author = {V. Forinia and V. Giangreco M. Puletti and O. Ohlsson Sax},
    title = {Generalized cusp in AdS4 × CP³ and more one-loop results from semiclassical strings},
    year = {2014}
}

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Abstract

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 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.