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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, a comment on boundary conditions and refs. added

Scientific paper

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.

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