Seiberg Duality is an Exceptional Mutation
Author(s) -
Christopher P. Herzog
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/08/064
Subject(s) - seiberg duality , duality (order theory) , equivalence (formal languages) , pure mathematics , singularity , class (philosophy) , mathematics , coherent sheaf , gauge theory , manifold (fluid mechanics) , gauge (firearms) , derived category , physics , mathematical physics , functor , mathematical analysis , supersymmetric gauge theory , computer science , gauge anomaly , geography , mechanical engineering , archaeology , artificial intelligence , engineering
The low energy gauge theory living on D-branes probing a del Pezzosingularity of a non-compact Calabi-Yau manifold is not unique. In fact thereis a large equivalence class of such gauge theories related by Seiberg duality.As a step toward characterizing this class, we show that Seiberg duality can bedefined consistently as an admissible mutation of a strongly exceptionalcollection of coherent sheaves.Comment: 32 pages, 4 figures; v2 refs added, "orbifold point" discussion refined; v3 version to appear in JHEP, discussion of torsion sheaves improve
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