Three-forms, dualities and membranes in four-dimensional supergravity

Abstract

We consider four-dimensional $\mathcal{N}=1$ supergravity models of a kind appearing in string flux compactifications. It has been recently shown that, by using double three-form multiplets instead of ordinary chiral multiplets, one can promote to dynamical variables (part of) the quantized numbers appearing in the flux-induced superpotential. We show that double three-form multiplets naturally transform under symplectic dualities associated with the special Kähler structure that characterizes their scalar sector. Furthermore, we discuss how to couple membranes which carry arbitrary `electric-magnetic' charges. The complete action is supersymmetric, kappa-symmetric and duality covariant. As an application, we derive the flow equations for BPS domain walls sourced by membranes and give simple analytic examples of their solution.

arXiv comment53 pages, 8 figures, v2: minor corrections, references added

References in corpus (56)

• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• CFT's From Calabi-Yau Four-folds
• Symmetries and Strings in Field Theory and Gravity
• Distributions of flux vacua
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• The effective action of N=1 Calabi-Yau orientifolds
• A Natural Framework for Chaotic Inflation
• The effective action of Type IIA Calabi-Yau orientifolds
• Supergravity Domain Walls
• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• An Ignoble Approach to Large Field Inflation
• Static Domain Walls in N=1 Supergravity
• Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Saltatory Relaxation of the Cosmological Constant
• F-term Axion Monodromy Inflation
• D-branes on general N=1 backgrounds: superpotentials and D-terms
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Supergravity couplings: a geometric formulation
• Local and global gravitational aspects of domain wall space-times
• What is Special Kähler Geometry ?
• Small neutrino masses from gravitational $\theta$-term
• F-theory Flux, Destabilization of Orientifolds and Soft Terms on D7--Branes
• Conformal Theory of M2, D3, M5 and `D1+D5' Branes
• Large Hierarchies from Attractor Vacua
• Domain walls, near-BPS bubbles, and probabilities in the landscape
• Backreaction Issues in Axion Monodromy and Minkowski 4-forms
• Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness
• Three-Form Gauging of axion Symmetries and Gravity
• Open string multi-branched and Kahler potentials
• Nonperturbative Stability of Supergravity and Superstring Vacua
• Membranes and Three-form Supergravity
• Three-forms in Supergravity and Flux Compactifications
• A Vacuum Accumulation Solution to the Strong CP Problem
• On How Neutrino Protects the Axion
• The Cosmological Constant is Probably Zero, and a Proof is Possibly Right
• Three-form multiplet and Inflation
• Duality and Couplings of 3-Form-Multiplets in N=1 Supersymmetry
• Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity
• Domain walls from ten dimensions
• Supergravity interacting with bosonic p-branes and local supersymmetry
• Extreme Domain Wall--Black Hole Complementarity in N=1SUPERGRAVITY with a General Dilaton Coupling
• D=4 supergravity dynamically coupled to a massless superparticle in a superfield Lagrangian approach
• Complex three-form supergravity and membranes
• Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent
• Gravity, p-branes and a spacetime counterpart of the Higgs effect
• Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet
• Domain walls and instantons in N=1, d=4 supergravity
• Supermembrane interaction with dynamical D=4 N=1 supergravity. Superfield Lagrangian description and spacetime equations of motion
• Three-form multiplet and supersymmetry breaking
• On dynamical supergravity interacting with super-p-brane sources
• Dirac equation for the supermembrane in a background with fluxes from a component description of the D=11 supergravity-supermembrane interacting system
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• D=4 supergravity dynamically coupled to superstring in a superfield Lagrangian approach
• Domain Walls in $N=1$ Supergravity

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