2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117711I study A-infinity enhancements of algebraic Calabi-Yau triangulated categories admitting a (triangle) generator, showing that the Serre pairing on such categories determines and is determined by a cyclic pairing on an enhancement of the generator. Using this result, I construct a formal topological string field action inducing an extended D-brane superpotential for such categories. I also give a procedure for lifting certain 2d boundary topological field theories to open topological string theories generated by a single D-brane.84 pages, 2 figuresHigh Energy Physics - TheoryGenerating the superpotential on a D-brane category: Itext