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arXiv · 1603.07362

Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace

Katrin Becker·Melanie Becker·William D. Linch III·Daniel Robbins
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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.

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Katrin Becker, Melanie Becker, William D. Linch III, Daniel Robbins. 2016-03-23. Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace. https://doi.org/10.1007/jhep06(2016)097

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