The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity

Abstract

We show that different (brane and constrained superfield) descriptions for the Volkov-Akulov goldstino coupled to N=1, D=4 supergravity with matter produce similar wide classes of models with spontaneously broken local supersymmetry and discuss the relation between the different formulations. As with the formulations with irreducible constrained superfields, the geometric goldstino brane approach has the advantage of being manifestly off-shell supersymmetric without the need to introduce auxiliary fields. It provides an explicit solution of the nilpotent superfield constraints and avoids issues with non-Gaussian integration of auxiliary fields. We describe general couplings of the supersymmetry breaking sector, including the goldstino and other non-supersymmetric matter, to supergravity and matter supermultiplets. Among various examples, we discuss a goldstino brane contribution to the gravitino mass term and the supersymmetrization of the anti-D3-brane contribution to the effective theory of type IIB warped flux compactifications.

Dedicated to the memory of Mario Tonin, 47 pages; v2,v3: comments and references added, typos corrected

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• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• $\overline{D3}$ and dS
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• On sgoldstino-less supergravity models of inflation
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• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• Warping the Kähler potential of F-theory/IIB flux compactifications
• Large-Field Inflation and Supersymmetry Breaking
• Inflation, de Sitter Landscape and Super-Higgs effect
• Constrained superfields from an anti-D3-brane in KKLT
• Soft branes in supersymmetry-breaking backgrounds
• Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet

Cited by in corpus (19)

• On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
• Anti-D3 branes and moduli in non-linear supergravity
• Early Dark Energy in Type IIB String Theory
• New nilpotent $\mathcal{N}=2$ superfields
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms
• Unimodular vs Nilpotent Superfield Approach to Pure dS Supergravity
• Goldstino Condensation?
• (Super)Universal Attractors and the de Sitter Vacua in String Landscape
• Mass Production of Type IIA dS Vacua
• Goldstino condensation at large N
• Nilpotent superfields for broken abelian symmetries
• On massive higher spins in d=3
• Causality constraints on nonlinear supersymmetry
• Stückelberg path to pure de Sitter supergravity
• Constrained Superfields in Dynamical Background
• Massless spin 2 interacting with massive higher spins in d=3
• Supersymmetric Horizons at the Edge of Effective Field Theory
• Aspects of cubic nilpotent superfields