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• W2305428585 abstract "We gauge the abelian hierarchy of tensor fields in 4D by a Lie algebra. The resulting non-abelian tensor hierarchy can be interpreted via an equivariant chain complex. We lift this structure to N=1 superspace by constructing superfield analogs for the tensor fields, along with covariant superfield strengths. Next we construct Chern-Simons actions, for both the bosonic and N=1 cases, and note that the condition of gauge invariance can be presented cohomologically. Finally, we provide an explicit realization of these structures by dimensional reduction, for example by reducing the three-form of eleven-dimensional supergravity into a superspace with manifest 4D, N=1 supersymmetry." @default.
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• W2305428585 date "2016-06-01" @default.
• W2305428585 modified "2023-09-24" @default.
• W2305428585 title "Chern-Simons actions and their gaugings in 4D, N =1 superspace" @default.
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• W2305428585 doi "https://doi.org/10.1007/jhep06(2016)097" @default.
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