4D N=1 Kaluza-Klein superspace

Abstract

Motivated by recent efforts to encode 11D supergravity in 4D N=1 superfields, we introduce a general covariant framework relevant for describing any higher dimensional supergravity theory in external 4D N=1 superspace with n additional internal coordinates. The superspace geometry admits both external and internal diffeomorphisms and provides the superfields necessary to encode the components of the higher dimensional vielbein, except for the purely internal sector, in a universal way that depends only on the internal dimension n. In contrast, the N=1 superfield content of the internal sector of the metric is expected to be highly case dependent and involve covariant matter superfields, with additional hidden higher dimensional Lorentz and supersymmetry transformations realized in a non-linear manner.

arXiv comment53 pages; v2: added references

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Cited by in corpus (4)

• Components of Eleven-dimensional Supergravity with Four Off-shell Supersymmetries
• Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces
• Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations
• Linearized Off-shell 4+7 Supergeometry of 11D Supergravity