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(Ed.)
A bstract The open string sector of the topological B-model on CY ( m + 2)-folds is described by m -graded quivers with superpotentials. This correspondence generalizes the connection between CY ( m + 2)-folds and gauge theories on the worldvolume of D(5 − 2 m )-branes for m = 0 , . . . , 3 to arbitrary m . In this paper we introduce the Calabi-Yau product, a new algorithm that starting from the known quiver theories for a pair of toric CY m +2 and CY n +2 produces the quiver theory for a related CY m + n +3 . This method significantly supersedes existing ones, enabling the simple determination of quiver theories for geometries that were previously out of practical reach.
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