Abstract
We consider, at the linearized level, the superspace formulation of lower-dimensional F-theory. In particular, we describe the embedding of 3D Type II super-gravity of the superstring, or 4D, N = 1 supergravity of M-theory, into the corresponding F-theory in full detail, giving the linearized action and gauge transformations in terms of the prepotential. This manifestly supersymmetric formulation reveals some features not evident from a component treatment, such as Weyl and local S-supersymmetry invariances. The linearized multiplet appears as a super 3-form (just as that for the manifestly T-dual theory is a super 2-form), reflecting the embedding of M-theory (as the T-dual theory embeds Type II supergravity). We also give the embedding of matter multiplets into this superspace, and derive the F-constraint from the gauge invariance of the gauge invariance.
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Linch, W.D., Siegel, W. F-theory superspace. J. High Energ. Phys. 2021, 59 (2021). https://doi.org/10.1007/JHEP03(2021)059
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DOI: https://doi.org/10.1007/JHEP03(2021)059