What are the mathematical prerequisites to understand this paper?

Blumenhagen et al. Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes. *Phys. Rept.* **445** no. 1-6, pp. 1-193 (2007). doi:10.1016/j.physrep.2007.04.003, arXiv:hep-th/0610327.

I know quantum field theory and some string theory (at the level of string theory demystified) What else should I know in order to be able to read this paper?

This post imported from StackExchange Physics at 2014-07-09 07:34 (UCT), posted by SE-user sdfxvcv