Intel i7 3770k quad core CPU (8 logical with HT), clocked at 4.2GHz.
16GB RAM
AMD R9 295X2 (2x8GB) GPU
SSD 256 GB Storage.
I've heard AMD are working on it together with the developer of the game, so hopefully it will be fixed soon. Also, not everyone with AMD cards seem to be having problems, looks like it could be the higher-end-cards, like 290 290x, 295x.
I'm using the 15.4 AMD driver. I also disabled one of the 290x's in my setup, still not working well. So, it's not only an SLI problem. Check the forums, and benchmarks, at least some AMD cards are not doing well with this game so far.
I tried disabling Hyper-threading and that actually helps, but it does not solve the performance issue.