Fully localized solution for intersecting D-branes in flat 10d

Construct a fully localized ten-dimensional supergravity solution describing two intersecting D-branes with asymptotically flat boundary conditions, without resorting to partial smearing of sources, thereby clarifying how such a solution should work in full detail.

Background

The paper discusses challenges in obtaining fully local supergravity solutions when multiple brane or orientifold sources intersect. While some cases with completely intersecting sources admit local solutions, the general problem of intersecting sources remains difficult.

The authors highlight that even in flat ten-dimensional space, a complete, localized solution for two intersecting D-branes has not been established. This issue impacts attempts to construct controlled string vacua with intersecting sources and underpins the need for reliable local treatments beyond smearing.