Mutations Vs. Seiberg duality

Details Mutations Vs. Seiberg duality Mutations Vs. Seiberg duality

2007-09-25

arxiv.org/abs/0709.3939v2

J.Algebra 321:816-828, 2009

Mathematics

Rings and Algebras

Scientific paper

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.

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