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

82 pages, LateX2e

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Cited by in corpus (18)

• Supergravity couplings: a geometric formulation
• Spectra in Standard-like Z_3 Orbifold Models
• Duality and Couplings of 3-Form-Multiplets in N=1 Supersymmetry
• Fluxes and Warping for Gauge Couplings in F-theory
• Anomaly cancellation in D=4, N=1 orientifolds and linear/chiral multiplet duality
• Vector/tensor duality in the five dimensional supersymmetric Green-Schwarz mechanism
• Modular Invariant Gaugino Condensation in the Presence of an Anomalous U(1)
• Modular Invariant Anomalous U(1) Breaking
• More Modular Invariant Anomalous U(1) Breaking
• Higher-derivative supergravity in U(1) superspace
• The Anomaly Structure of Regularized Supergravity
• One loop divergences and anomalies from chiral superfields in supergravity
• Anomaly cancellation in effective supergravity theories from the heterotic string: two simple examples
• More on the gauge-fixed D3-brane action with dilaton-axion coupling from N=1 superspace
• Anomaly cancellation in effective supergravity from the heterotic string with an anomalous U(1)
• Full Component Lagrangian in the Linear Multiplet Formulation of String-inspired Effective Supergravity
• Anomaly Structure of Supergravity and Anomaly Cancellation
• N=4 central charge superspace at work for supergravity coupled to an arbitrary number of abelian vector multiplets