If your carpet is dark burgundy then have a lot of color options to paint the wall. A lighter shade of burgundy or white will set the colors off great! You can place a border at the top that is the same color of the carpet too.
If you have burgundy carpet, a good color to paint your bedroom would be a dark tan color. It would go great with your carpet, and it would match any color of furniture that you have in the room. If you are feeling more dramatic, you could even go with light brown.