D-instantons probing D3-branes and the AdS/CFT correspondence

TL;DR

This paper investigates how D-instantons probe D3-branes and demonstrates that the one-loop level metric they sense matches the BPS R-R 3-brane metric, providing insights into the AdS/CFT correspondence within M-atrix theory.

Contribution

It shows that D-instantons can probe the D3-brane geometry and that the one-loop metric coincides with the BPS R-R 3-brane metric, linking to the AdS/CFT correspondence.

Findings

Probed metric matches BPS R-R 3-brane at one loop.

D-instantons sense the external metric via effective action.

Results suggest a connection to AdS/CFT in M-atrix theory.

Abstract

D-instantons are considered as a probe of coinciding $N$ D3-branes. They can feel an external metric via the commutator terms in their effective action. We show that when the D-instantons are separated from the D3-branes, the metric which is probed at the one loop level, {\it exactly} coincides with that of the BPS R-R 3-brane. Interesting connection of this result to the possible explanation of the AdS/CFT correspondence within IKKT M-atrix theory is discussed.