Supersymmetric Intersecting Branes in Time-dependent Backgrounds

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We construct a family of supersymmetric solutions in time-dependent backgrounds in supergravity theories. One class of the solutions are intersecting brane solutions and another class are brane solutions in pp-wave backgrounds, and their intersection rules are also given. The relation to existing literature is also discussed. An example of D1-D5 with linear null dilaton together with its possible dual theory is briefly discussed.
12 pages, corrected typo, added reference, to appear in Phys. Rev. D

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