From Linear to Non-linear Supersymmetry via Functional Integration

Abstract

We derive a complete pure de Sitter supergravity action with non-linearly realized supersymmetry and its rigid limit, the Volkov-Akulov action, from the corresponding models with linear supersymmetry, by computing the path integral in the limit of infinite sgoldstino mass. In this, we use a non-Gaussian functional integration formula that was recently discovered in a derivation of de Sitter supergravity from the superconformal theory. We also present explicit examples of pure dS supergravity and the case with one matter multiplet. These two simple examples serve as a test and a demo of the universal action formula valid for de Sitter supergravities with general matter coupling.

15 pages

References in corpus (10)

• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• $\overline{D3}$ and dS
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• On sgoldstino-less supergravity models of inflation
• Inflation and Uplifting with Nilpotent Superfields
• Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition
• The general de Sitter supergravity component action
• $\alpha$-Attractors: Planck, LHC and Dark Energy

Cited by in corpus (17)

• Global String Embeddings for the Nilpotent Goldstino
• Cosmology with orthogonal nilpotent superfields
• $\overline{D3}$ Induced Geometric Inflation
• Cosmological Attractors and Asymptotic Freedom of the Inflaton Field
• Constrained superfields in Supergravity
• String Theory Origin of Constrained Multiplets
• Inflation from Nilpotent Kähler Corrections
• Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking
• Interactions of N Goldstini in Superspace
• Constrained superfields on metastable anti-D3-branes
• Construction of the de Sitter supergravity
• Goldstino Condensation?
• Constrained Superfields in Dynamical Background
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
• Inflation, Universality and Attractors
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model
• Modification of T/E models and their multi-field versions