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Using the algebraic curve approach we one-loop quantize the folded stringsolution for the type IIB superstring in AdS(5)xS(5). We obtain an explicitresult valid for arbitrary values of its Lorentz spin S and R-charge J in termsof integrals of elliptic functions. Then we consider the limit S ~ J ~ 1 andderive the leading three coefficients of strong coupling expansion of shortoperators. Notably, our result evaluated for the anomalous dimension of theKonishi state gives 2\lambda^{1/4}-4+2/\lambda^{1/4}. This reproduces correctlythe values predicted numerically in arXiv:0906.4240. Furthermore we compare ourresult using some new numerical data from the Y-system for another similarstate. We also revisited some of the large S computations using our methods. Inparticular, we derive finite--size corrections to the anomalous dimension ofoperators with small J in this limit.

Quantum folded string and integrability: from finite size effects to Konishi dimension