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

TL;DR

This paper proves that the only half-BPS solution with SU(2,2|2) symmetry in Type IIB supergravity is the AdS_5 x S^5 background, suggesting no other such solutions with the specified symmetries exist.

Contribution

It demonstrates the rigidity of SU(2,2|2)-symmetric solutions in Type IIB supergravity, showing that only the AdS_5 x S^5 solution exists under these conditions.

Findings

Only AdS_5 x S^5 is SU(2,2|2)-symmetric in Type IIB supergravity.

No fully back-reacted intersecting D3/D7 brane solutions with the specified near-horizon geometries.

Supports the conjecture of non-existence of certain intersecting brane solutions.

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 S^2 x S^1 or AdS_5 x S^3 warped over a Riemann surface \Sigma with boundary. We prove that, in both cases, the only solution is AdS_5 x S^5 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 S^2 x S^1 x \Sigma or AdS_5 x S^3 x \Sigma near-horizon limits.