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

We found the pre-potential in the superspace with AdS 5 × S 5 background. The pre-potential appears as part of the vielbeins, without derivatives. In both subspaces (AdS 5 and S 5) we used Poincaré coordinates. We picked one bulk coordinate in AdS 5 and one bulk coordinate in S 5 to define the space-cone gauge. Such space-cone gauge destroys the bulk Lorentz covariance. However, it still preserves boundary Lorentz covariance (and gives projective superspace) SO(3, 1) ⊗ SO(4) and so symmetries of boundary CFT are manifest.