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Title: TQFTs of Higher SuGra Gauge Sectors

Abstract: We ask for the functorial TQFTs of topological states in the higher gauge sectors of 11D SuGra and its dimensional reductions. To specify these, one has to choose a global (IR) completion of the higher gauge fields by higher electromagnetic flux quantization. After topological light cone quantization one finds that topological quantum states form $\infty$-local systems on transversal maps to a classifying space $\mathcal{A}$ whose rationalization encodes the duality-symmetric Bianchi identities.