Dynamical D4-D8 and D3-D7 branes in supergravity

Abstract

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 $\mathrm{Ad}{\mathrm{S}}_6\times {\mathrm{S}}^4$ geometry in a certain spacetime region. For the D3-D7 brane system, we find a dynamical solution whose metric form is similar to that of a D3-brane solution. The main difference is the existence of a nontrivial dilaton configuration in the D3-D7 solution. Then we discuss cosmology of these solutions. We find that they behave like a Kasner-type cosmological solution at $\tau \to \infty$, while it reduces to a warped static solution at $\tau \to 0$, where $\tau$ is the cosmic time.

25 pages, no figure, typos corrected, references and discussions of D3-D7 brane solutions added

References in corpus (1)

• On Dp-Dp+4 systems, QCD dual and phenomenology

Cited by in corpus (2)

• Dynamics of intersecting brane systems -- Classification and their applications --
• Dynamical solution of supergravity