Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace

Details Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace

2005-06-07

arxiv.org/abs/hep-th/0506057v2

JHEP 0601 (2006) 065

Physics

High Energy Physics

High Energy Physics - Theory

1+17 pages; typos fixed, minor corrections

Scientific paper

10.1088/1126-6708/2006/01/065

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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