The superspace geometry of gravitational Chern-Simons forms and their couplings to linear multiplets : a review
Georges Girardi, Richard Grimm
TL;DR
This review explores the superspace geometry underlying gravitational Chern-Simons forms and their interactions with linear multiplets, simplifying the geometric framework within U_K(1) superspace for supergravity theories.
Contribution
It reveals a close relationship between Chern-Simons forms and 3-form multiplets, leading to a simplified geometric understanding of their couplings in supersymmetric theories.
Findings
Simplified the geometric structure of supersymmetric Chern-Simons forms.
Established a connection between Chern-Simons forms and 3-form multiplets.
Applied the analysis within U_K(1) superspace for supergravity-matter couplings.
Abstract
The superspace geometry of Chern-Simons forms is shown to be closely related to that of the 3-form multiplet. This observation allows to simplify considerably the geometric structure of supersymmetric Chern-Simons forms and their coupling to linear multiplets. The analysis is carried through in U_K(1) superspace, relevant at the same time for supergravity-matter couplings and for chirally extended supergravity.
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