There has been a lot of mis-information on which and what type of Limited Slip Differential (LSD) unit that comes on the Track packages of the Hyundai Genesis Coupe. I'll try to explain as simply as possible which lSD the Genesis Coupe has and why it uses this type of system versus others.
The Hyundai Genesis Coupe has a Torsen (this is the manufacture name) Limited Slip Differential. Torsen typically uses helical gears in their LSDs rather than clutches. They have a very smooth engagement (you usually do not know they are even working) and work great with the Electronic Control systems found on many cars today. They are also very low maintenance for a LSD as there are no wearing parts. It is one of the reasons that many OEMs use this type of system (GM, Ford, Audi, Mitsubishi, etc).
So in the Torsen LSDs, the job of these helical gears is to basically transfer torque or power, either to both drive wheels at the same time or a Ratio (Bias) of power to the drive wheels. Some other generic names that these types of LSD can go by is a "Torque Sensing" or "Torque Biasing". In a nutshell, Torsen LSDs can "detect" when one wheel loses traction over the other and transfers this power automatically (or as I like to say, "AutoMAGICALLY!"). This is important for when you go around corners and one wheel needs to spin faster than the other. You want most of the power going to the outside drive wheel.. When used with the Electronic Traction Control or Electronic Stability Control found on many cars a Torsen unit can aid in getting out of bad driving conditions like in sand, dirt, gravel, snow and even on ice. Another benefit of these units is that you can in a sense "lock" both drive wheels for optimal traction. Great for drag racing in a straight line!
Keep in mind that because of the varying ratios of torque transfer that these units emply they are not called 1 way or 1.5 way or 2-way LSDs. You'll usually find these designations on aftermarket LSD units (Kaaz is one that gets thrown around a lot) that employ a different type of LSD system, usually clutch packs. They are higher maintenance items compared to Torsen units as the clutch packs can wear out and you often have to use a special friction enhanced differential fluid. The Torsen units have no problem running on regular dino gear lube.
So for the Genesis Coupe, Torsen units are great choices for most people. They have smooth low noise operation and they are low maintenance. They will plant power down to the ground and let you light up both tires when you feel like turning off the traction control and showing off to your friends.
Well that's it for now and hopefully this clear up some things on the type of LSD the Genesis Coupe uses. I posted some example pictures below.
Example of Helical Gears that I was talking about
and a complete view of some different Torsen units with Helical gears: