U(1) Instantons on AdS4 and the Uplift to Exact Supergravity Solutions

Abstract

We consider self-duality equation of U(1) gauge fields on Euclidean AdS4 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 AdS4× CP3. Further, we show that the solution can be uplifted to an exact solution in 11d supergravity background of AdS4× SE7.

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