On semiclassical equivalence of Green–Schwarz and pure spinor strings in AdS(5) × S(5)

We present a method to study the equivalence at the semiclassical level of the Green–Schwarz and pure spinor formulations of string theory in AdS(5) × S(5). This method provides a clear separation of the physical and unphysical sectors of the pure spinor formulation and allows us to prove that the two models have not only equal spectra of the fermionic fluctuations but also equal conformal weights (the bosonic ones being equal by construction). (paper)