BFT2: a general class of 2d N = (0, 2) theories, 3-manifolds and toric geometry

Authors

Sebastían Franco, CUNY City CollegeFollow
Xingyang Yu, New York University

Document Type

Article

Publication Date

2022

Abstract

We introduce and initiate the study of a general class of 2d N = (0, 2) quiver gauge theories, defined in terms of certain 2-dimensional CW complexes on oriented 3- manifolds. We refer to this class of theories as BFT₂’s. They are natural generalizations of Brane Brick Models, which capture the gauge theories on D1-branes probing toric Calabi-Yau 4-folds. The dynamics and triality of the gauge theories translate into simple transformations of the underlying CW complexes. We introduce various combinatorial tools for analyzing these theories and investigate their connections to toric Calabi-Yau manifolds, which arise as their master and moduli spaces. Invariance of the moduli space is indeed a powerful criterion for identifying theories in the same triality class. We also investigate the reducibility of these theories.

Comments

This article was originally published in Journal of High Energy Physics, available at https://doi.org/10.1007/JHEP08(2022)277

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