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We revisit and clarify the supersymmetric versions of $R+ R^2$ gravity, in view of the renewed interest to these models in cosmology. We emphasize that the content of the dual standard supergravity theory in the old minimal formulation…

High Energy Physics - Theory · Physics 2015-06-17 Sergio Ferrara , Renata Kallosh , Antoine Van Proeyen

We study field theories with N extended non-linearly realized supersymmetries, describing the couplings of models that contain N goldstini. We review all the known formulations of the N=1 goldstino theories and we generalize them to an…

High Energy Physics - Theory · Physics 2016-12-21 N. Cribiori , G. Dall'Agata , F. Farakos

We review two off-shell models for spontaneously broken ${\cal N}=1$ and ${\cal N}=2$ supergravity proposed in arXiv:1702.02423 and arXiv:1707.07390. The ${\cal N}=1$ model makes use of a real scalar superfield subject to three nilpotency…

High Energy Physics - Theory · Physics 2018-11-14 Sergei M. Kuzenko

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow…

High Energy Physics - Theory · Physics 2018-01-03 Evgeny I. Buchbinder , Jessica Hutomo , Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We analyze theories in which a supersymmetric sector is coupled to a supersymmetry-breaking sector described by a non-linear realization. We show how to consistently couple N=1 supersymmetric matter to non-supersymmetric matter in such a…

High Energy Physics - Theory · Physics 2008-11-26 Matthias Klein

We examine spontaneously broken N=2 supersymmetry in four dimensions and associate a spinor superfield with each Goldstino via a finite supersymmetry transformation with parameters that are the Grassmann coordinates of N=2 superspace.…

High Energy Physics - Theory · Physics 2015-05-28 S. M. Kuzenko , I. N. McArthur

We use nonlinear realizations to describe the spontaneous breaking of $N=2$ supersymmetry to $N=1$ in four dimensions. We identify the Goldstone multiplet with an $N=1$ chiral superfield, and show that chiral $N=1$ matter is consistent with…

High Energy Physics - Theory · Physics 2008-11-26 J. Bagger , A. Galperin

N=1, D=4 non linear sigma models, parametrized by chiral superfields, usually describe Kaehlerian geometries, provided that Einstein frame supergravity is used. The sigma model metric is no longer Kaehler when local supersymmetry becomes…

High Energy Physics - Theory · Physics 2018-01-17 S. Ferrara , M. Porrati

We present a non-linear MSSM with non-standard Higgs sector and goldstino field. Non-linear supersymmetry for the goldstino couplings is described by the constrained chiral superfield and, as usual, the Standard Model sector is encompassed…

High Energy Physics - Phenomenology · Physics 2015-06-11 Fotis Farakos , Alex Kehagias

In the framework of N=2 conformal supergravity in four dimensions, we introduce a nilpotent chiral superfield suitable for the description of partial supersymmetry breaking in maximally supersymmetric spacetimes. As an application, we…

High Energy Physics - Theory · Physics 2016-04-20 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the…

High Energy Physics - Theory · Physics 2016-03-23 Gianguido Dall'Agata , Fotis Farakos

We derive supersymmetry/supergravity models with constrained orthogonal nilpotent superfields from the linear models in the formal limit where the masses of the sgoldstino, inflatino and sinflaton tend to infinity. The case where the…

High Energy Physics - Theory · Physics 2016-05-18 Renata Kallosh , Anna Karlsson , Benjamin Mosk , Divyanshu Murli

We present consistent supersymmetric theories invariant under the generalization of the Galilean shift symmetry to ${\cal{N}}=1$ superspace. These theories are constructed via the decoupling limit of certain non-minimally derivative coupled…

High Energy Physics - Theory · Physics 2015-06-16 Fotis Farakos , Cristiano Germani , Alex Kehagias

We study the application of a supersymmetric model with two constrained supermultiplets to inflationary cosmology. The first superfield S is a stabilizer chiral superfield satisfying a nilpotency condition of degree 2, S^2=0. The second…

High Energy Physics - Theory · Physics 2016-02-17 Sergio Ferrara , Renata Kallosh , Jesse Thaler

We study curved-space rigid supersymmetry for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric fields theories with a vector-like $R$-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be…

High Energy Physics - Theory · Physics 2015-06-19 Cyril Closset , Stefano Cremonesi

The supersymmetric completion of $R+R^2$ gravity is known to be equivalent to standard supergravity coupled to two chiral supermultiples with a K\"ahler potential of the no-scale type. The generalization of this programme to $f(R)$ gravity…

High Energy Physics - Theory · Physics 2015-11-23 G. A. Diamandis , A. B. Lahanas , K. Tamvakis

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

When supersymmetry is spontaneously broken it will be generically non-linearly realized. A method to describe the non-linear realization of supersymmetry is with constrained superfields. We discuss the basic features of this description and…

High Energy Physics - Theory · Physics 2017-04-28 Fotis Farakos

This Ph.D. thesis investigates effective field and string theories in which supersymmetry is realized and broken in various ways. Chapter 1 addresses effective theories with nonlinearly realized supersymmetry, constructed using the…

High Energy Physics - Theory · Physics 2025-07-01 Gabriele Casagrande