The superspace geometry of gravitational Chern-Simons forms and their couplings to linear multiplets : a review

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 UK(1) superspace, relevant at the same time for supergravity-matter couplings and for chirally extended supergravity.

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