Open AccessDuals of noncommutative supersymmetric U(1) gauge theory
Author(s) -
Omer Faruk Dayi,
Kayhan Ülker,
Barış Yapışkan
Publication year - 2003
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 - 10.1088/1126-6708/2003/10/010
Subject(s) - noncommutative geometry , physics , dual polyhedron , mathematical physics , seiberg duality , gauge theory , supersymmetric gauge theory , s duality , symmetry (geometry) , gauge symmetry , supersymmetry , duality (order theory) , gauge anomaly , quantum mechanics , mathematics , pure mathematics , quantum , geometry , quantum gravity , relationship between string theory and quantum field theory
Parent actions for component fields are utilized to derive the dual ofsupersymmetric U(1) gauge theory in 4 dimensions. Generalization of theSeiberg-Witten map to the component fields of noncommutative supersymmetricU(1) gauge theory is analyzed. Through this transformation we proposed parentactions for noncommutative supersymmetric U(1) gauge theory as generalizationof the ordinary case.Duals of noncommutative supersymmetric U(1) gauge theoryare obtained. Duality symmetry under the interchange of fields with dualsaccompanied by the replacement of the noncommutativity parameter\Theta_{\mu\nu} with \tilde{\Theta}_{\mu \nu} =\epsilon_{\mu\nu\rho\sigma}\Theta^{\rho\sigma} of the non--supersymmetric caseis broken at the level of actions. We proposed a noncommutative parent actionfor the component fields which generates actions possessing this dualitysymmetry.Comment: Typos corrected. Version which will appear in JHE
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