To be specific - here is the message that I get
We're sorry, but your current web browser, operating system, or the combination of both is not currently supported by the SlingPlayer plug-in. Please click here for more information.
Yes, it seems that Sony Bravia is not a "currently supported connected device".
Some other makes of TV are compatible with Sling software, but not Bravia.
I am hoping that Bravia will eventually be a supported device, but for now slingcatcher seems to be the best solution.
Edit.. depending on you using a compatible Slingbox.
I wonder why Sling do not like these type of things being discussed? (see the terms and conditions).