Calabi-Yau products: graded quivers for general toric Calabi-Yaus

Abstract

Abstract 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 − 2m)-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.

Keywords

• Brane Dynamics in Gauge Theories
• D-branes
• Supersymmetric Gauge Theory