F-theory Superspace

WD Linch III, W Siegel - arXiv preprint arXiv:1501.02761, 2015 - arxiv.org
WD Linch III, W Siegel
arXiv preprint arXiv:1501.02761, 2015arxiv.org
We consider, at the linearized level, the superspace formulation of lower-dimensional F-
theory. In particular, we describe the embedding of 3D Type II supergravity 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 …
We consider, at the linearized level, the superspace formulation of lower-dimensional F-theory. In particular, we describe the embedding of 3D Type II supergravity 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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