Double the SUSY, Double the Drinfeld

In N=2 SUSY theories, the Drinfeld double shows up somewhere.

The Drinfeld double is  with a Hopf algebra structure built up from the Hopf algebra structure of H. Take the identity element in the above (using adjunction) and it will describe the R element that turns the double into a quasitriangular Hopf algebra. This is where exciting things happen because the representation category of quasitriangular Hopf algebras is a braided monoidal category!

http://www.impan.pl/~burgunde/WSBC09/Ddouble_Hajac.pdf

So doubling the SUSY gives you favorite type of category.