Collapse Multiple Attribute Tables into a Single Slicer

I have a data modeling/vizualization problem which has stumped me. Currently my report has a single table that includes 4 separate categories. A series of bridge tables allows me to connect to the fact table. Because the categories are in a single table I can create a slicer that allows users to chose one of the 4 categories. 

My goals is to implement this same functionality using a star schema. This simplifies the data model, however I do not know how to construct a slicer with the same functionality. In other words, I want to collapse the 4 separate categories which are now correctly stored in a star schema into a single slicer. 

Can anyone help me with a solution?

thanks, 

- B