Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6)

Abstract

We demonstrate the equivalence between the worldsheet one-loop partition functions computed near classical string solutions in the Green-Schwarz and in the pure-spinor formulations of superstrings in AdS(5) x S(5). While their bosonic sectors are the same in the conformal gauge, their fermionic sectors superficially appear to be very different (first vs second derivative kinetic terms, presence vs absence of fermionic gauge symmetry). Still, we show that the quadratic fluctuation spectrum of sixteen fermionic modes of the pure-spinor formulation is the same as in the Green-Schwarz superstring and the contribution of the extra "massless" fermionic modes cancels against that of the pure-spinor ghosts. We also provide evidence for a similar semiclassical equivalence between the Green-Schwarz and the hybrid formulations of superstrings in AdS(2) x S(2) x T(6) by studying several particular examples of string solutions.

28 pages; v2: minor corrections, references updated

References in corpus (9)

• Spinning strings and AdS/CFT duality
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• String States on AdS_3 x S^3 from the Supergroup
• On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background
• On pure spinor formalism for quantum superstring and spinor moving frame
• On covariant quantization of M0-brane. Spinor moving frame, pure spinor formalism and hidden symmetries of D=11 supergravity

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• On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)
• Spectra of Sigma Models on Semi-Symmetric Spaces