Pre-potential in the \(AdS_{5}\,\times\,S^{5}\) Type IIB superspace

Abstract

We found the pre-potential in the superspace with \(AdS_{5}\,\times\,S^{5}\) background. The pre-potential appears as part of the vielbeins, without derivatives. The space-cone gauge destroys the bulk Lorentz covariance, but still preserves boundary Lorentz covariance (projective superspace) \(SO\,(\,3,\,1\,)\,\otimes\,SO\,(\,4\,)\), i.e. symmetries of boundary CFT are manifest.