That is many PCs fail under higher loads. Hopefully it's in warranty so you can let them sort out the PC.
Bob
Whenever I play games like Assassin's Creed or Prince of Persia even on minimum resolution and settings, my computer abruptly goes into power save mode and I can't get out of it other than just holding the power button until the computer shuts off that way. There are no signs before it happens like drop in frame rate, but there is a soft "clunk/thud" sound immediately after it goes into power save. My computer more than meets the recommended requirements for these games, but the fans are a little louder than usual when I run a game. The crash happens about 5 minutes into a game (runs longer if its not full screen) but can happen even if I'm on a settings page and the game is running. I don't recall if ever happening when the game is minimized and in the background and this only happens in games, nothing else... Overheating maybe? Please help!

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic