Pre-potential in the AdS5 \xd7 S5 type IIB superspace

Abstract

We found the pre-potential in the superspace with AdS5 × S5 background. The pre-potential appears as part of the vielbeins, without derivatives. In both subspaces (AdS5 and S5) we used Poincaré coordinates. We picked one bulk coordinate in AdS5 and one bulk coordinate in S5 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.