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From linear to nonlinear supersymmetry via functional integration

Renata Kallosh^*, Anna Karlsson^†, and Divyanshu Murli^‡

Stanford Institute of Theoretical Physics and Department of Physics, Stanford University, Stanford, California 94305, USA

^*kallosh@stanford.edu
^†annakarl@stanford.edu
^‡divyansh@stanford.edu

Phys. Rev. D 93, 025012 – Published 14 January, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.025012

Abstract

We derive a complete pure de Sitter supergravity action with nonlinearly 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 (dS) 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.

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References (26)

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From linear to nonlinear supersymmetry via functional integration

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