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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?

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