Vitoria, Jorge (2009) Mutations vs. Seiberg duality. Journal of Algebra, Vol.321 (No.3). pp. 816-828. doi:10.1016/j.jalgebra.2008.11.012 ISSN 0021-8693.

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Abstract

For a quiver with potential, Derksen, Weyman and Zelevinsky defined in [H. Derksen, J. Weyman, A. Zelevinsky, Quivers with potentials and their representations 1: Mutations, arXiv: 0704.0649v2 [math.RA]] a combinatorial transformation, mutations. Mukhopadhyay and Ray, on the other hand, tell us how to compute Seiberg dual quiver!: 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 given by [S. Mukhopadhyay, K. Ray, Seiberg duality as derived equivalence for some quiver gauge theories, arXiv: hep-th/0309191v2], Concluding that for a certain class of potentials (the good ones) mutations coincide with Seiberg duality, therefore giving derived equivalences. (C) 2008 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Journal of Algebra
Publisher:	Academic Press Inc Elsevier Science
ISSN:	0021-8693
Official Date:	1 February 2009
Dates:	Date Event 1 February 2009 Published
Volume:	Vol.321
Number:	No.3
Number of Pages:	13
Page Range:	pp. 816-828
DOI:	10.1016/j.jalgebra.2008.11.012
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	FCT, Portugal
Grant number:	SFRH/BD/28268/2006

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