U(1) Instantons on AdS_4 and the Uplift to Exact Supergravity Solutions

TL;DR

This paper finds finite action U(1) instanton solutions on Euclidean AdS_4, embeds them into 10d supergravity, and uplifts them to exact solutions in 11d supergravity, advancing understanding of gauge/gravity dualities.

Contribution

It presents explicit U(1) instanton solutions on AdS_4 and demonstrates their embedding and uplift to higher-dimensional supergravity backgrounds, providing new exact solutions.

Findings

Finite action U(1) instanton solutions on Euclidean AdS_4

Embedding into 10d supergravity background of AdS_4×CP^3

Uplift to exact solutions in 11d supergravity of AdS_4×SE_7

Abstract

We consider self-duality equation of U(1) gauge fields on Euclidean AdS_4 space, and find a simple finite action solution. With a suitable ansatz, we are able to embed this solution into the 10d supergravity background of AdS_4\times CP^3. Further, we show that the solution can be uplifted to an exact solution in 11d supergravity background of AdS_4\times SE_7.