Twisted Supersymmetry and Non-Anticommutative Superspace

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Published 12 January 2006 Published under licence by IOP Publishing Ltd
, , Citation Matthias Ihl and Christian Sämann JHEP01(2006)065 DOI 10.1088/1126-6708/2006/01/065

1126-6708/2006/01/065

Abstract

We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By defining a Drinfeld-twisted Hopf superalgebra, it is shown that one can restore twisted supersymmetry and therefore obtain a twisted version of the chiral rings along with certain Ward-Takahashi identities. Moreover, we argue that the representation content of theories on the deformed superspace is identical to that of their undeformed cousins and comment on the consequences of our analysis concerning non-renormalization theorems.

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10.1088/1126-6708/2006/01/065