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This paper studies type IIA string theory in AdS4 x CP3 in both the BMN limitand the Maldacena-Swanson or near-flat-space limit. We derive the simplerLagrangian for the latter limit by taking a large worldsheet boost of the BMNtheory. We then calculate one-loop corrections to the correlators of thevarious fields using both theories. In all cases the near-flat-space resultsagree with a limit of the BMN results, providing evidence for the quantumconsistency of this truncation. The corrections can also be compared to anexpansion of the exact dispersion relation, known from integrability apart fromone interpolating function h(lambda). Here we see agreement with the results ofMcLoughlin, Roiban & Tseytlin, and we observe that it does not appear to bepossible to fully implement the cutoff suggested by Gromov & Mikhaylov,although for some terms we can do so. In both the near-flat-space and BMNcalculations there are some extra terms in the mass shifts which breaksupersymmetry. These terms are extremely sensitive to the cutoff used, and canperhaps be seen as a consequence of using dimensional regularisation.

The Near-Flat-Space and BMN Limits for Strings in AdS4 x CP3 at One Loop