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Dual interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
Author(s) -
Karl Landsteiner,
Sergio Montero
Publication year - 2005
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 - 10.1088/1126-6708/2005/08/002
Subject(s) - superpotential , duality (order theory) , seiberg duality , constraint (computer aided design) , dual (grammatical number) , gauge group , rank (graph theory) , gauge theory , physics , mathematical physics , mathematics , theoretical physics , supersymmetric gauge theory , supersymmetry , pure mathematics , geometry , combinatorics , philosophy , gauge anomaly , linguistics
We give dual interpretations of Seiberg-Witten and Dijkgraaf-Vafa (or matrixmodel) curves in n=1 supersymmetric U(N) gauge theory. This dualityinterchanges the rank of the gauge group with the degree of the superpotential;moreover, the constraint of having at most log-normalizable deformations of thegeometry is mapped to a constraint in the number of flavors N_f < N in the dualtheory.Comment: Latex2e, 22 pages, 2 figure

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