The Superspace Geometry of Gravitational Chern–Simons Forms and Their Couplings to Linear Multiplets: A Self-Contained Presentation

1998/01/29 by G. Girardi, Georges Girardi, R. Grimm +1 · 21 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Chern–Simons theory #Cosmology and Gravitation Theories #Coupling (piping) #Gauge theory #Gravitation #Mathematical physics #Multiplet #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Supergravity #Superspace #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1006/aphy.1998.5880

published in Annals of Physics 272(1), 49-129 (Elsevier BV) · 82 pages, LateX2e

arxiv created 1998/01/29 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Coordinate and Kähler σ-model anomalies and their cancellation in string effective field theories
• Moduli dependence of string loop corrections to gauge coupling constants
• Supersymmetry and Supergravity

Cited by

• Modular-invariant anomalous U(1) breaking