Duality and Couplings of 3-Form-Multiplets in N=1 Supersymmetry

Abstract

In this paper we study 3-form gauge fields in four-dimensional N=1 supersymmetric theories. We give the sigma model action together with its Poincare dual action for massless and massive 3-forms. The resulting target space geometries are Kahler where the respective field variables and superspace couplings are related by a Legendre transformation.

35 pages, minor changes

References in corpus (3)

• Making Sense of the Legendre Transform
• Correspondence between the 3-form and non-minimal multiplet in supersymmetry
• First Order Actions and Duality

Cited by in corpus (29)

• F-term Axion Monodromy Inflation
• Backreaction Issues in Axion Monodromy and Minkowski 4-forms
• Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness
• Three-forms in Supergravity and Flux Compactifications
• The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies
• UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity
• An Axion-induced SM/MSSM Higgs Landscape and the Weak Gravity Conjecture
• Three-forms, dualities and membranes in four-dimensional supergravity
• Three-form multiplet and Inflation
• How many fluxes fit in an EFT?
• Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity
• 3-form inflation in Randall-Sundrum II
• Non-Gaussianity in multiple three-form field inflation
• Three-forms, Supersymmetry and String Compactifications
• Three-form multiplet and supersymmetry breaking
• Effective actions for dual massive (super) p-forms
• On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry
• U(1) symmetric $\alpha$-attractors
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Black hole and naked singularity geometries supported by three-form fields
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• Higher Forms and Membranes in 4D Supergravities
• Supermembranes and domain walls in $\mathcal{N}=1$, $D=4$ SYM
• Three-forms and Fayet-Iliopoulos terms in Supergravity: Scanning Planck mass and BPS domain walls
• de Sitter decay through goldstino evaporation
• Matrix Thermalization
• Superstring at the boundary of open supermembrane interacting with D=4 supergravity and matter supermultiplets
• Reviving chaotic inflation with fermion production: a supergravity model
• Gravitational lensing by traversable wormholes supported by three-form fields