Surface/state correspondence and bulk local operators in pp-wave holography

TL;DR

This paper explores the application of the surface/state correspondence to IIB pp-waves, proposing D-instantons as bulk local operators and demonstrating how to derive spacetime metrics from these states.

Contribution

It extends the surface/state correspondence to pp-wave backgrounds and identifies D-instantons as the bulk local operators in this context.

Findings

D-instantons act as bulk local operators in pp-wave holography.

Bulk operators create boundaries in the dual gauge theory.

Spacetime metrics can be extracted from D-instanton states.

Abstract

We apply the surface/state correspondence proposal of Miyaji et al. to IIB pp-waves and propose that the bulk local operators should be D-instantons. In line with ordinary AdS/CFT correspondence, the bulk local operators in pp-waves also create a hole, or a boundary, in the dual gauge theory as pointed out by H. Verlinde, and by Y. Nakayama and H. Ooguri. We also present simple calculations which illustrate how to extract the spacetime metric from D-instanton states.