Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
Abstract
We investigate the existence of half-BPS solutions in Type IIB supergravity which are invariant under the superalgebra SU(2,2|2) realized on either AdS5 x S2 x S1 or AdS5 x S3 warped over a Riemann surface with boundary. We prove that, in both cases, the only solution is AdS5 x S5 itself. We argue that this result provides evidence for the non-existence of fully back-reacted intersecting D3/D7 branes with either AdS5 x S2 x S1 x or AdS5 x S3 x near-horizon limits.
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