Your Blu Ray player will connect to the HDTV via 3 ways. The player most likely included the old standard SD cables ( Yellow, White and Red) to allow you to connect to the any of the TVs standard AV inputs. Some players may have included a HDMI cable that you connect between the player and one of the HDMI inputs on the TV. The only converter box you will need is to tune HD channels that are not broadcast over the air. There is no reason, and in most cases, no way to connect a Blu Ray player through a converter box. they ususlayy send signals to different inputs on a TV.