3d printing of 2d N = (0, 2) gauge theories

Authors

Sebastían Franco, CUNY City CollegeFollow
Azeem Hasan, CUNY Graduate CenterFollow

Document Type

Article

Publication Date

2018

Abstract

We introduce 3d printing, a new algorithm for generating 2d N = (0, 2) gauge theories on D1-branes probing singular toric Calabi-Yau 4-folds using 4d N = 1 gauge theories on D3-branes probing toric Calabi-Yau 3-folds as starting points. Equivalently, this method produces brane brick models starting from brane tilings. 3d printing represents a significant improvement with respect to previously available tools, allowing a straightforward determination of gauge theories for geometries that until now could only be tackled using partial resolution. We investigate the interplay between triality, an IR equivalence between different 2d N = (0, 2) gauge theories, and the freedom in 3d printing given an underlying Calabi-Yau 4-fold. Finally, we present the first discussion of the consistency and reduction of brane brick models.

Comments

This article was originally published in Journal of High Energy Physics, available at https://doi.org/10.1007/JHEP05(2018)082

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