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## Appendix A: Third Order Response Functions 

In this appendix we list the third order response func- tion used in calculating the impulsive 2D spectra. The first index of the response function follows the standard notation of Ref. [3]. The second index is g for pathways not involving the two-exciton band, while all pathways denoted by f include a two-exciton contribution (see e.g. Ref. [11]). 

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Operators and superoperators used in this appendix are defined in Section IV A. 

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