U(1) Instantons on AdS_4 and the Uplift to Exact Supergravity Solutions
arXiv:1108.2786 · doi:10.1007/JHEP11(2011)041
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.
12 pages, a comment on boundary conditions and refs. added