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 =1superspaceandconstructitsChern-Simons-likeinvariants. Whenspecializedtothe 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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Becker, K., Becker, M., Linch, W.D. et al. Abelian tensor hierarchy in 4D, N = 1 superspace. J. High Energ. Phys. 2016, 52 (2016). https://doi.org/10.1007/JHEP03(2016)052
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DOI: https://doi.org/10.1007/JHEP03(2016)052