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Using superconformal methods we derive an explicit de Sitter supergravity action invariant under spontaneously broken local ${\cal N}=1$ supersymmetry. The supergravity multiplet interacts with a nilpotent goldstino multiplet. We present a…

High Energy Physics - Theory · Physics 2016-10-11 Eric A. Bergshoeff , Daniel Z. Freedman , Renata Kallosh , Antoine Van Proeyen

Recent progress in understanding de Sitter spacetime in supergravity and string theory has led to the development of a four dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua, also called de Sitter…

High Energy Physics - Theory · Physics 2021-03-31 Sukruti Bansal , Silvia Nagy , Antonio Padilla , Ivonne Zavala

We obtain a four-dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua by coupling a superspace action of minimal N=1, D=4 supergravity to a locally supersymmetric generalization of the Volkov-Akulov…

High Energy Physics - Theory · Physics 2016-03-23 Igor Bandos , Luca Martucci , Dmitri Sorokin , Mario Tonin

We advance the study of pure de Sitter supergravity by introducing a finite formulation of unimodular supergravity via the super-St\"uckelberg mechanism. Building on previous works, we construct a complete four-dimensional action of…

High Energy Physics - Theory · Physics 2025-06-17 Sukŗti Bansal , Silvia Nagy , Antonio Padilla , Ivonne Zavala

Recently, the complete action for an N=1 pure supergravity action in 4 dimensions that allows a positive, negative or zero cosmological constant has been constructed. The action is the generalization of a Volkov-Akulov action for the…

High Energy Physics - Theory · Physics 2016-02-16 Eric Bergshoeff , Dan Freedman , Renata Kallosh , Antoine Van Proeyen

De Sitter supergravity describes interaction of supergravity with general chiral and vector multiplets as well as one nilpotent chiral multiplet. The extra universal positive term in the potential due to the nilpotent multiplet,…

High Energy Physics - Theory · Physics 2016-06-29 Renata Kallosh

We find new realizations of Volkov-Akulov-Starobinsky supergravity, i.e. Starobinsky inflationary models in supergravity coupled to a nilpotent superfield describing Volkov-Akulov goldstino. Our constructions are based on the no-scale…

High Energy Physics - Theory · Physics 2020-04-23 Yermek Aldabergenov

As generalizations of the original Volkov-Akulov action in four-dimensions, actions are found for all space-time dimensions D invariant under N non-linear realized global supersymmetries. We also give other such actions invariant under the…

High Energy Physics - Theory · Physics 2009-10-31 Hitoshi Nishino

Understanding de Sitter space in supergravity - and string theory - has lead 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…

High Energy Physics - Theory · Physics 2021-03-17 Silvia Nagy , Antonio Padilla , Ivonne Zavala

In this paper we review the appearance and utility of a nilpotent chiral multiplet in the context of supergravity, string theory and cosmology. Coupling a nilpotent chiral superfield to supergravity, one obtains what is called pure dS…

High Energy Physics - Theory · Physics 2016-11-03 Marjorie Schillo , Ellen van der Woerd , Timm Wrase

We develop a nonlinear realisation approach to topologically massive supergravity in three dimensions, with and without a cosmological term. It is a natural generalisation of a similar construction for ${\cal N}=1$ supergravity in four…

High Energy Physics - Theory · Physics 2023-09-22 Sergei M. Kuzenko , Jake C. Stirling

We present the explicit de Sitter supergravity action describing the interaction of supergravity with an arbitrary number of chiral and vector multiplets as well as one nilpotent chiral multiplet. The action has a non-Gaussian dependence on…

High Energy Physics - Theory · Physics 2015-11-09 Renata Kallosh , Timm Wrase

We study supergravity theories with supersymmetry intrinsically non-linearly realized supported only by four-form flux. We demonstrate that supersymmetry can be restored by the evaporation of the goldstino multiplet. Such procedure requires…

High Energy Physics - Theory · Physics 2021-03-17 Fotis Farakos , Alex Kehagias , Nikolaos Liatsos

The subject of this thesis is the construction and the study of four-dimensional effective theories with spontaneously broken and non-linearly realised global and local supersymmetry. In the first part, the global supersymmetric case is…

High Energy Physics - Theory · Physics 2019-01-09 Niccolò Cribiori

Typical de Sitter (dS) vacua of gauged supergravity correspond to saddle points of the potential and often the unstable mode runs into a singularity. We explore the possibility to obtain dS points where the unstable mode goes on both sides…

High Energy Physics - Theory · Physics 2009-11-10 Klaus Behrndt , Swapna Mahapatra

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…

High Energy Physics - Theory · Physics 2015-09-30 S. Ferrara , M. Porrati , A. Sagnotti

We elaborate on the nonlinear realisation approach to spontaneously broken supergravity in three dimensions presented in arXiv:2304.09506. Using this approach we provide a novel derivation of $\mathcal{N}$-extended supergravity, with and…

High Energy Physics - Theory · Physics 2025-10-13 Jake C. Stirling

We put forward a unimodular $N=1, d=4$ anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter…

High Energy Physics - Theory · Physics 2020-03-18 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

We discuss further the universality of the Volkov-Akulov (V-A) action of a Nambu-Goldstone (N-G) fermion for the spontaneous breaking of supersymmetry (SUSY). We show general relations between the standard V-A action and nonlinear (NL) SUSY…

High Energy Physics - Theory · Physics 2009-11-10 Kazunari Shima , Motomu Tsuda

The complex linear Goldstino superfield was proposed in arXiv:1102.3042 for the cases of global and local four-dimensional N=1 supersymmetry. Here we make use of this superfield to construct a supergravity action which is invariant under…

High Energy Physics - Theory · Physics 2015-10-06 Sergei M. Kuzenko
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