Supersymmetric Intersecting Branes in Time-dependent Backgrounds

TL;DR

This paper constructs a broad class of supersymmetric intersecting brane solutions in time-dependent backgrounds within supergravity, exploring their properties, intersection rules, and potential dual theories.

Contribution

It introduces new supersymmetric solutions with time-dependent metrics, including intersecting branes and branes in pp-wave backgrounds, expanding the understanding of dynamic supergravity configurations.

Findings

Solutions preserve various amounts of supersymmetry.

Intersection rules are explicitly derived.

Potential dual theories are discussed.

Abstract

We construct a fairy general family of supersymmetric solutions in time- and space-dependent backgrounds in general supergravity theories. One class of the solutions are intersecting brane solutions with factorized form of time- and space-dependent metrics, the second class are brane solutions in pp-wave backgrounds carrying spacetime-dependence, and the final class are the intersecting branes with more nontrivial spacetime-dependence, and their intersection rules are given. Physical properties of these solutions are discussed, and the relation to existing literature is also briefly mentioned. The number of remaining supersymmetries are identified for various configurations including single branes, D1-D5, D2-D6-branes with nontrivial dilaton, and their possible dual theories are briefly discussed.