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

TL;DR

This paper identifies the pre-potential within the superspace of the $AdS_{5}\times S^{5}$ background, revealing its role in vielbeins and boundary symmetries, despite gauge choices affecting bulk covariance.

Contribution

It introduces the pre-potential in $AdS_{5}\times S^{5}$ superspace as part of the vielbeins, highlighting boundary Lorentz covariance preservation.

Findings

Pre-potential appears as part of vielbeins without derivatives.

Space-cone gauge breaks bulk Lorentz covariance.

Boundary Lorentz covariance remains intact.

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.