Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
David Corbino (Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, 475 Portola Plaza, Los Angeles, CA, 90095, USA)
We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form AdS 2 × S 5 × S 1 warped over a two-dimensional Riemann surface Σ. The existence of the Lie superalgebra SU(1, 1|4) ⊂ PSU(2, 2|4), whose maximal bosonic subalgebra is SO(1, 2)⊕SO(6)⊕SO(2), motivates the search for half-BPS solutions with this isometry that are asymptotic to AdS 5 ×S 5. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution AdS 5 × S 5. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form AdS 2 × S 5 × S 1 × Σ.
