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arXiv · 1601.03066

Abelian Tensor Hierarchy in 4D, N=1 Superspace

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

With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in four-dimensional, N=1 superspace and construct its Chern-Simons-like invariants. When specialized to the case in which the tensors arise from a higher-dimensional theory, the invariants may be interpreted as higher-dimensional Chern-Simons forms reduced to four dimensions. As an application of the formalism, we construct the eleven-dimensional Chern-Simons form in terms of four-dimensional, N=1 superfields.

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Katrin Becker, Melanie Becker, William D Linch III, Daniel Robbins. 2016-01-12. Abelian Tensor Hierarchy in 4D, N=1 Superspace. https://doi.org/10.1007/jhep03(2016)052

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