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One of the general strategies for realizing a wide class of interacting QFTsis via junctions and intersections of higher-dimensional bulk theories. In thecontext of string/M-theory, this includes many $D > 4$ superconformal fieldtheories (SCFTs) coupled to an IR free bulk. Gauging the flavor symmetries ofthese theories and allowing position dependent gauge couplings provides ageneral strategy for realizing novel higher-dimensional junctions of theoriescoupled to localized edge modes. Here, we show that M-theory on singular,asymptotically conical $G_2$-holonomy orbifolds provides a general template forrealizing strongly coupled 5D bulk theories with 4D $\mathcal{N} = 1$ edgemodes. This geometric approach also shows how bulk generalized symmetries areinherited in the boundary system.

Junctions, Edge Modes, and $G_2$-Holonomy Orbifolds