  The folded spinning string in AdS3 gives us an important insight into AdS/CFT
duality. Recently its one-loop energy was analyzed in the context of AdS4/CFT3
by McLoughlin and Roiban arXiv:0807.3965, by Alday, Arutyunov and Bykov
arXiv:0807.4400 and by Krishnan arXiv:0807.4561. They computed the spectrum of
the fluctuations around the classical solution.
  In this paper we reproduce their results using the algebraic curve technique
and show that under some natural resummation of the fluctuation energies the
one-loop energy agrees perfectly with the predictions of arXiv:0807.0777. This
provides a further support of the all-loop Bethe equations and of the AdS4xCP3
algebraic curve developed in arXiv:0807.0437.
