Non-Extremal D-instantons and the AdS/CFT Correspondence

TL;DR

This paper explores non-extremal D-instantons in AdS_5 x S^5, revealing their distinct holographic duals, deviations from self-duality, and their role in Euclidean wormholes with potential implications for holography and cosmology.

Contribution

It introduces the study of non-extremal D-instantons in AdS_5 x S^5 and analyzes their dual operators, deviations from self-duality, and wormhole solutions relevant for holography in cosmological contexts.

Findings

Non-extremal D-instantons do not correspond to self-dual Yang-Mills instantons.

Explicit computation of deviation from self-duality.

Existence of Euclidean axionic wormhole solutions with two asymptotic boundaries.

Abstract

We investigate non-extremal D-instantons in an asymptotically $ AdS_5 \times S^5$ background and the role they play in the $ AdS_5 / CFT_4$ correspondence. We find that the holographic dual operators of non-extremal D-instanton configurations do not correspond to self-dual Yang-Mills instantons, and we compute explicitly the deviation from self-duality. Furthermore, a class of non-extremal D-instantons yield Euclidean axionic wormhole solutions with two asymptotic boundaries. After Wick rotating, this provides a playground for investigating holography in the presence of cosmological singularities in a closed universe.