Rigidity of SU(2,2|2)-symmetric solutions in Type IIB (1001.4808v1)

Published 26 Jan 2010 in hep-th

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 AdS_5 x S² x S¹ or AdS_5 x S³ warped over a Riemann surface \Sigma with boundary. We prove that, in both cases, the only solution is AdS_5 x S⁵ itself. We argue that this result provides evidence for the non-existence of fully back-reacted intersecting D3/D7 branes with either AdS_5 x S² x S¹ x \Sigma or AdS_5 x S³ x \Sigma near-horizon limits.

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