Twisted Supersymmetry and Non-Anticommutative Superspace | Zendy

Matthias Ihl | Zendy; Christian Sämann | Zendy

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Twisted Supersymmetry and Non-Anticommutative Superspace

Author(s) -

Matthias Ihl,

Christian Sämann

Publication year - 2006

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 - 10.1088/1126-6708/2006/01/065

Subject(s) - superspace , noncommutative geometry , supersymmetry , f term , superalgebra , supermultiplet , mathematical physics , d term , physics , invariant (physics) , spacetime , theoretical physics , lorentz transformation , interpretation (philosophy) , mathematics , pure mathematics , supergravity , quantum mechanics , algebra over a field , philosophy , linguistics

We extend the analysis of hep-th/0408069 on a Lorentz invariantinterpretation of noncommutative spacetime to field theories onnon-anticommutative superspace with half the supersymmetries broken. Bydefining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restoretwisted supersymmetry and therefore obtain a twisted version of the chiralrings along with certain Ward-Takahashi identities. Moreover, we argue that therepresentation content of theories on the deformed superspace is identical tothat of their undeformed cousins and comment on the consequences of ouranalysis concerning non-renormalization theorems.Comment: 1+17 pages; typos fixed, minor correction

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