Partially Localized Intersecting BPS Branes
Donam Youm
TL;DR
The paper develops explicit partially localized intersecting brane solutions in both eleven- and ten-dimensional supergravity by extending the harmonic-function framework to configurations where one brane remains delocalized along relative transverse directions. It derives the governing coupled partial differential equations for the harmonic functions, analyzes near-horizon behavior, and provides concrete solutions for M2/M5 intersections, M2/M2 intersections, KK monopoles, and pp-waves, along with their D-brane reductions and worldvolume interpretations. These constructions preserve brane-position moduli essential for bulk/boundary holography and offer concrete tools to study localized interactions in AdS/CFT-like settings. The results establish a catalog of partially localized intersecting brane geometries across eleven and ten dimensions, enabling precise mapping between supergravity parameters and gauge-theory moduli on brane worldvolumes.
Abstract
We present the explicit forms of supergravity solutions for the various intersecting two BPS branes in eleven and ten dimensions, where one brane is localized at the delocalized other brane. Our partially localized supergravity solutions describe brane configurations in the near horizon region of the delocalized branes, where the two constituent branes meet in the overall transverse space and the delocalized branes coincide. We also give the brane worldvolume interpretations for some of such supergravity solutions.