Does this Xperia Play have HDMI output?

Here's a little intrigue to go along with your morning cuppa. The Xperia Play is a lovely bit of hardware lacking in a few crucial areas -- one being an inability to play games over HDMI. That's a definite problem for those who aren't quite ready to devote themselves wholesale to gaming on the (very) small screen. We had hoped Sony might release a micro-USB to HDMI adapter at some point, and