On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)

TL;DR

This paper demonstrates that the Green-Schwarz and pure spinor string formulations in AdS(5) x S(5) are semiclassically equivalent, sharing spectra and conformal weights, through a new method separating physical and unphysical sectors.

Contribution

It introduces a novel method to establish semiclassical equivalence by clearly separating physical and unphysical sectors in the pure spinor formulation.

Findings

Equal spectra for fermionic fluctuations in both models

Matching conformal weights for the models

Bosonic sectors are inherently equal by construction

Abstract

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) x S(5). This method provides a clear separation of the physical and unphysical sectors of the pure spinor formulation and allows one to prove that the two models have not only equal spectra for the fermionic fluctuations but also equal conformal weights (the bosonic ones being equal by construction).