Covariant propagator in AdS5 x S5 superspace

TL;DR

This paper derives a simple explicit superspace propagator for a chiral scalar field in 10D IIB supergravity on AdS5 x S5, facilitating easier AdS/CFT calculations by avoiding complex mode expansions.

Contribution

It provides the first explicit form of the superspace propagator in AdS5 x S5, highlighting its simplicity and potential to streamline AdS/CFT computations.

Findings

Propagator is almost identical to flat space due to conformal flatness.

Explicit expansion over S5 Kaluza-Klein modes is provided.

Simplifies AdS/CFT calculations by reducing the need for mode expansion.

Abstract

We give an explicit superspace propagator for the chiral scalar field strength of 10D IIB supergravity on an AdS5 x S5 background. Because this space is conformally flat, the propagator is very simple, almost identical to that of flat space. We also give an explicit expansion over the Kaluza-Klein modes of S5. The fact that the full propagator is so much simpler suggests that, as in 2D conformal field theory, AdS/CFT calculations would be simpler without a mode expansion.