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arXiv · 1204.3302

Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings

V. Forini·V. Giangreco M. Puletti·O. Ohlsson Sax
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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 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.

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V. Forini, V. Giangreco M. Puletti, O. Ohlsson Sax. 2014-02-18. Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings. https://doi.org/10.1088/1751-8113/46/11/115402

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