Sony VAIO PCG-F20 and PCG-XG9 LCD
.... A8045754A 13.3 A-8045-754-A
.... Samsung part number: LT133X7-124
As far as I can make out, it's a 3.3 volt, LVDS panel.
I have a good collection of LCD pinouts and datasheets, but I don't have this one. Maybe the above info will help you find it. Unfortunately, LCD manufacturers who sell to other manufacturers rarely like to give out specs - they are generally considered confidential.
Try looking at these two - they are not for your model, but often they use the same pinouts. If they look similar, try tracing the power and ground connections on the LCD or laptop board to see if they match. If so, its a fair bet...
http://www.axiomtek.com.tw/Download/Manual/PK898B.pdf
http://www.axiomtek.com.tw/Download/Manual/PK898G.pdf
Maybe try to identify the video controller on the laptop board, get its datasheet (probably easier than the LCD one) and trace out the connections? There aren't that many for an LVDS panel.
That's what I would do, anyway. I've done it on a few panels with ultimate success.
If you do work it out, please post the info so we can share it.
Best of luck,
FoxyRick.