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arXiv · 0712.3560

D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity

Jerome P. Gauntlett·Oscar Varela
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Abstract

We consider the most general class of supersymmetric solutions of D=11 supergravity consisting of a warped product of AdS_5 with a six-dimensional internal manifold N_6, which are dual to N=2 super conformal field theories in d=4. For any such N_6 we construct the full non-linear Kaluza-Klein ansatz for the reduction of D=11 supergravity on N_6 down to D=5 SU(2)xU(1) gauged supergravity, at the level of the bosonic fields. This allows one to uplift any solution of the D=5 supergravity to obtain a solution of D=11 supergravity for any given N_6. Using an explicit N_6, corresponding to M5-branes wrapping holomorphic curves in a Calabi-Yau two-fold, we uplift some solutions and comment upon their interpretation.

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Jerome P. Gauntlett, Oscar Varela. 2008-02-22. D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F083

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