Dynamical D4-D8 and D3-D7 branes in supergravity

Understand

We present a class of dynamical solutions for intersecting D4-D8 and D3-D7 brane systems in ten-dimensional type IIA and IIB supergravity.

• We discuss if these solutions can be recovered in lower-dimensional effective theories for the warped compactification of a general p-brane system.
• It is found that an effective $p+1$-dimensional description is not possible in general due to the entanglement of the transverse coordinates and the $p+1$-dimensional coordinates in the metric components.
• For the D4-D8 brane system, the dynamical solutions reduces to a static warped ${\rm AdS_6}\times {\rm S}^4$ geometry in a certain spacetime region.