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

Authors

Sebastián Franco, CUNY City CollegeFollow
Azeem Hasan, Università del Salento

Document Type

Article

Publication Date

2021

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.

Comments

This article was originally published in Journal of High Energy Physics, available at https://doi.org/10.1007/JHEP02(2021)174

This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).