Star Wars: The Old Republic has been developed to be able to be played by a wide range of systems. Thus the system requirements are not very demanding and most computers with a discrete graphics card should run the game. See below whether your system meets the requirements.
Minimum System Requirements
OS Windows XP, Vista/7 CPU AMD Athlon 64 X2 Dual-Core 4000+ or better · Intel Core 2 Duo Processor 2.0GHz or better RAM Windows XP: 1.5GB · Windows Vista and Windows 7: 2GB · PCs using a built-in graphical chipset, 2GB RAM recommended. Video ATI X1800 or better* · nVidia 7800 or better* · Intel 4100 Integrated Graphics or better* DVD-ROM 8x or better *Minimum of 256MB of on-board RAM and Shader 3.0 or better support.