Publications and Research
Document Type
Article
Publication Date
2018
Abstract
We introduce a unified mathematical framework that elegantly describes minimally supersymmetry gauge theories in even dimensions, ranging from six dimensions to zero dimensions, and their dualities. This approach combines and extends recent developments on graded quivers with potentials, higher Ginzburg algebras, and higher cluster categories (also known as m-cluster categories). Quiver mutations studied in the context of mathematics precisely correspond to the order-(m + 1) dualities of the gauge theories. Our work indicates that these equivalences of quiver gauge theories sit inside an infinite family of such generalized dualities.
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Comments
This article was originally published in Physical Review D, available at https://doi.org/10.1103/PhysRevD.98.046021
This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).