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Seiberg-Witten Map for Superfields onN=(1/2,0) andN=(1/2,1/2) Deformed Superspace

2004/03/31 by Dzo Mikulovic
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/05/077

published as JHEP 0405 (2004) 077 · 23 pages, LaTex; v3: typos corrected, two references adequately cited

openalex publication_date 2004/05/28 · arxiv created 2004/06/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

In this paper we construct the Seiberg-Witten maps for superfields on the theta-theta deformed superspaces with N=(1/2,0) and N=(1/2,1/2) supersymmety. We show that on the N=(1/2,0) deformed superspace there is no Seiberg-Witten map for antichiral superfields which is at the same time antichiral, local and which preserves the N=(1/2,0) supersymmetry. Solutions which break these requirements are presented. On the N=(1/2,1/2) deformed superspace we show that for the chiral gauge parameter, and therefore also for the chiral matter field, there is no chiral Seiberg-Witten map. Some other possible Seiberg-Witten maps for the superfields are presented.

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