after maverick face time don´t work?

Try the troubleshooing steps here > FaceTime for Mac: Troubleshooting FaceTime

I had this same issue with my macbook pro. I logged out of factime on every device including the mac. I restarted and logged back in. It fixxed it right away. Not quite sure what was wrong, I believe that the update messed up how I could be contacted through facetime, therefore not making it work.