Scale invariant Volkov–Akulov supergravity

S Ferrara,M Porrati,A Sagnotti

doi:10.1016/j.physletb.2015.08.066

Abstract

A scale invariant goldstino theory coupled to supergravity is obtained as a standard supergravity dual of a rigidly scale-invariant higher-curvature supergravity with a nilpotent chiral scalar curvature. The bosonic part of this theory describes a massless scalaron and a massive axion in a de Sitter Universe.

Highlights

Motivated by single-field inflationary scenarios [1], several sgoldstinoless [2,3,4,5] supergravity extensions of inflationary models were recently considered [6,7,8,9,10,11]
A scale invariant goldstino theory coupled to supergravity is obtained as a standard supergravity dual of a rigidly scale-invariant higher-curvature supergravity with a nilpotent chiral scalar curvature
Enough, in [7,11] many of these models were linked to pure higher-derivative supergravity with a nilpotency constraint on the scalar curvature chiral superfield R

Summary

Contents lists available at ScienceDirect

Sagnotti a,e,∗,2 a Th-Ph Department, CERN, CH-1211 Geneva 23, Switzerland b INFN – Laboratori Nazionali di Frascati, Via Enrico Fermi 40, 00044 Frascati, Italy c Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547, USA d CCPP, Department of Physics, NYU, 4 Washington Pl., New York, NY 10003, USA e Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, 56126 Pisa, Italy article info. Article history: Received 12 August 2015 Accepted 31 August 2015 Available online 2 September 2015 Editor: A. A scale invariant goldstino theory coupled to supergravity is obtained as a standard supergravity dual of a rigidly scale-invariant higher-curvature supergravity with a nilpotent chiral scalar curvature.

Introduction

The final result is the standard supergravity action density

The supersymmetry breaking scale