Mutations Vs. Seiberg duality
Rings and Algebras
2010-05-07 v2 High Energy Physics - Theory
Abstract
For a quiver with potential, Derksen, Weyman and Zelevinsky defined a combinatorial transformation - mutations. Mukhopadhyay and Ray, on the other hand, tell us how to compute Seiberg dual quivers for some quivers with potentials through a tilting procedure, thus obtaining derived equivalent algebras. In this text, we compare mutations with the concept of Seiberg duality, concluding that for a certain class of potentials (the good ones) mutations coincide with Seiberg duality, therefore giving derived equivalences.
Keywords
Cite
@article{arxiv.0709.3939,
title = {Mutations Vs. Seiberg duality},
author = {Jorge Vitória},
journal= {arXiv preprint arXiv:0709.3939},
year = {2010}
}