On the construction of local fields in the bulk of AdS_5 and other spaces

TL;DR

This paper develops a method to explicitly construct local bulk fields from boundary operators in AdS_5 and other spaces, providing explicit Green's functions and extending the approach to near horizon geometries of Dp branes.

Contribution

It introduces a leading-order explicit construction of bulk fields from boundary data in AdS_5 and generalizes to Dp brane geometries, with initial steps towards interacting cases.

Findings

Constructed local bulk fields from boundary operators in AdS_5.

Derived the Green's function associated with these bulk fields.

Extended the construction to near horizon geometries of Dp branes.

Abstract

In the Poincare patch of Minkovski AdS_5 we explicitly construct local bulk fields from the boundary operators, to leading order in 1/N. We also construct the Green's function implicitly defined by this procedure. We generalize the construction of local fields for near horizon geometries of Dp branes. We try to expand the procedure to the interacting case, with partial success.