Higher category structure of defects in 3d TFTs and 2d RCFTs indicate to the existence
of a 3-category with modular fusion categories as objects. This 3-category provides
a higher categorification of the Witt group of modular categories.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/6477