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Superstring perturbation theory and Ramond-Ramond backgrounds

Superstring perturbation theory and Ramond-Ramond backgrounds

We consider perturbative type II superstring theory in the covariant NSR formalism in the presence of NSNS and RR backgrounds. A concrete example that we have in mind is the geometry of D3-branes which in the near-horizon region is ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}_{5},$ although our methods may be applied to other backgrounds as …