Semiclassical quantization of rotating superstring in AdS₅ × S⁵

Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in AdS₅ × S⁵. We start with a classical solution describing string rotating in AdS₅ and boosted along large circle of S⁵. The energy of the classical solution E is a function of the spin S and the momentum J (R-charge) which interpolates between the limiting cases S = 0 and J = 0 considered previously. We derive the corresponding quadratic fluctuation action for bosonic and fermionic fields from the GS string action and compute the string 1-loop (large √λ = R²/α') correction to the classical energy spectrum in the (S,J) sector. We find that the 1-loop correction to the ground-state energy does not cancel for S ≠ 0. For large S it scales as ln S, i.e. as the classical term, with no higher powers of ln S appearing. This supports the conjecture made in hep-th/0204051 that the classical E−S = aln S scaling can be interpolated to weak coupling to reproduce the corresponding operator anomalous dimension behaviour in gauge theory.