Scaling Solutions to 6D Gauged Chiral Supergravity

TL;DR

This paper constructs explicit time-dependent solutions in 6D gauged chiral supergravity with branes, showing they likely serve as late-time attractors and describe the bulk geometry between branes with complex equations of state.

Contribution

It provides the first explicit time-dependent solutions in 6D gauged chiral supergravity with branes, including scaling solutions and their physical implications.

Findings

Solutions are plausible late-time attractors.

Matching boundary conditions to brane properties is demonstrated.

Bulk geometry between branes with non-trivial equations of state is characterized.

Abstract

We construct explicitly time-dependent exact solutions to the field equations of 6D gauged chiral supergravity, compactified to 4D in the presence of up to two 3-branes situated within the extra dimensions. The solutions we find are scaling solutions, and are plausibly attractors which represent the late-time evolution of a broad class of initial conditions. By matching their near-brane boundary conditions to physical brane properties we argue that these solutions (together with the known maximally-symmetric solutions and a new class of non-Lorentz-invariant static solutions, which we also present here) describe the bulk geometry between a pair of 3-branes with non-trivial on-brane equations of state.