Cracked traces on a board SOMETIMES could be repaired. "Sometimes" and "Could" being the key words.
It is not a job for an amateur and it depends on where the crack is and how bad it is.
The idea is to remove some of the material covering the trace on either side of the crack, and solder a new jumper wire across the crack.
Like I said, not for a noob. And, in general, not recommended. I have never tried it myself. I guess the only reason I would try is if the gear had sentimental value or if it were very valuable or collectable. Honestly, if that was the situation, I might be more inclined to build a complete new power supply board--also not a job for a noob.
Your best bets
1) Cut your losses
2) Take it to a pro
3) Keep looking for the exact replacement board
Personally, I don't care for Sony, so it would be off to recycling if it were mine.