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On the structure of noncommutative N = 2 super Yang-Mills theory
Author(s) -
Diego Bellisai,
J. M. Isidro,
Marco Matone
Publication year - 2000
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 - 10.1088/1126-6708/2000/10/026
Subject(s) - noncommutative geometry , commutative property , action (physics) , mathematics , mathematical physics , pure mathematics , function (biology) , differential equation , physics , mathematical analysis , quantum mechanics , evolutionary biology , biology
We show that the recently proposed formulation of noncommutative N=2 SuperYang-Mills theory implies that the commutative and noncommutative effectivecoupling constants \tau(u) and \tau_{nc}(u) coincide. We then introduce a keyrelation which allows to find a nontrivial solution of such equation, thusfixing the form of the low-energy effective action. The dependence on thenoncommutative parameter arises from a rational function deforming theSeiberg-Witten differential.Comment: 1+5 pages, LaTe

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