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.
| Original language | English (US) |
|---|---|
| Article number | 046021 |
| Journal | Physical Review D |
| Volume | 98 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 15 2018 |
Bibliographical note
Publisher Copyright:© 2018 authors. Published by the American Physical Society.