2019/10/31 by Silvia Nagy, Antonio Padilla, Ivonne Zavala
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Diffeomorphism #Gravitino #Noncommutative and Quantum Gravity Theories #Supergravity #Superspace #Supersymmetry #Supersymmetry breaking #Unimodular matrix #gr-qc #hep-th
paper · pdf · doi:10.1098/rspa.2020.0035
11 pages, version published in PRSA
openalex created_date 2019/11/08 · openalex publication_date 2020/05/01 · arxiv created 2020/05/17 · arxiv updated 2021/03/17 · openalex updated_date 2026/08/05
Understanding de Sitter space in supergravity—and string theory—has led to an intense amount of work for more than two decades, largely motivated by the discovery of the accelerated expansion of the Universe in 1998. In this paper, we consider a non-trivial generalization of unimodular gravity to minimal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="script">N</mml:mi> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:math> supergravity, which allows for de Sitter solutions without the need of introducing any matter. We formulate a superspace version of the Stückelberg procedure, which restores diffeomorphism and local supersymmetry invariance. This introduces the goldstino associated with spontaneous breaking of supersymmetry in a natural way. The cosmological constant and gravitino mass are related to the vacuum expectation value of the components of a Lagrange multiplier imposing a super-unimodularity condition.