U(1) Instantons on AdS₄ and the Uplift to Exact Supergravity Solutions
classification
✦ hep-th
gr-qcmath-phmath.MP
keywords
solutionsupergravitybackgroundexacttimesableactionansatz
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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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