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It is known that every irreducible unitary representation of positive energy of the Poincar\'e group can be realized as a subspace of tensor fields on Minkowski spacetime subjected to suitable partial differential equations. We first…

Mathematical Physics · Physics 2014-07-22 Daniel Bennequin , Michel Egeileh

We propose a supergravity model with a constrained curvature multiplet, which realizes the Starobinsky inflation and the de Sitter vacuum in the present universe simultaneously. Surprisingly, at the vacuum, the soft supersymmetry breaking…

High Energy Physics - Theory · Physics 2015-12-15 Fuminori Hasegawa , Yusuke Yamada

We classify Minkowski$_4$ solutions in type IIA supergravity, with N=2 supersymmetry and an SU(2) R-symmetry of a certain type. Many subcases can be reduced to relatively simple PDEs, among which we recover various intersecting brane…

High Energy Physics - Theory · Physics 2017-12-05 Niall T. Macpherson , Alessandro Tomasiello

We develop an inflationary model without small parameters on the basis of multidimensional $f(R)$ gravity with a minimally coupled scalar field. The model is described by two stages of space expansion. The first one begins at energy scales…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Polina Petriakova , Sergey G. Rubin

Nonlinear sigma models arise in supergravity theories with or without matter couplings in various dimensions and they are important in understanding the duality symmetries of M-theory. With this motivation in mind, we review the salient…

High Energy Physics - Theory · Physics 2007-05-23 R. Percacci , E. Sezgin

We analyze a simple extension of the Schwinger model, which we refer to as the $p$-Schwinger model, on a de Sitter background. In this theory, the charged massless fermions carry non-unit integer charge $p$. In Minkowski space, the…

High Energy Physics - Theory · Physics 2026-05-05 Jeremias Aguilera-Damia , Dionysios Anninos , Tarek Anous , Johnny Gleeson , Alan Rios Fukelman

We discuss an ${\cal R}+{\cal R}^n$ class of modified ${\cal N}=1$, D=4 supergravity models where the deformation is a monomial ${\cal R}^n\big|_F$ in the chiral scalar curvature multiplet ${\cal R}$ of the "old minimal" auxiliary field…

High Energy Physics - Theory · Physics 2015-06-17 Sergio Ferrara , Alex Kehagias , Massimo Porrati

Moduli with flat or run-away classical potentials are generic in theories based on supersymmetry and extra dimensions. They mix between themselves and with matter fields in kinetic terms and in the nonperturbative superpotentials. As the…

High Energy Physics - Theory · Physics 2010-11-03 Zygmunt Lalak

We present a supergravity inflationary scenario in which the inflaton field takes values considerably larger than the Planck scale. It is based on a class of inflationary potentials which can be derived from ``singular'' Kaehler potentials…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Panagiotakopoulos

We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the…

High Energy Physics - Theory · Physics 2026-04-23 Tetiana Obikhod

Following the general formalism presented in arXiv:0812.3615 -- referred to as Paper I -- we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of…

High Energy Physics - Theory · Physics 2009-07-22 Nicolas Boulanger , Carlo Iazeolla , Per Sundell

We consider the most general form for eleven dimensional supersymmetry compatible with on-shell superfields. This allows for the introduction of a conformal Spin(1,10) connection. In eleven dimensional Minkowski space this modification is…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , N. D. Lambert , P. C. West

In this work we analyze the role of $\alpha '$-corrections to type IIB orientifold compactifications in K\"ahler moduli stabilization and inflation. In particular, we propose a model independent scenario to achieve non-supersymmetric…

High Energy Physics - Theory · Physics 2019-03-27 Matthias Weissenbacher

We construct non-perturbatively exact four-dimensional Minkowski vacua of type IIB string theory with non-trivial fluxes. These solutions are found by gluing together, consistently with U-duality, local solutions of type IIB supergravity on…

High Energy Physics - Theory · Physics 2015-06-23 Philip Candelas , Andrei Constantin , Cesar Damian , Magdalena Larfors , Jose Francisco Morales

We obtain de Sitter (dS) solutions from controlled string-theory constructions. We review how minimal gauged chiral 6D supergravity evades standard dS no-go theorems by having a positive scalar potential and describe the known 4D classical…

High Energy Physics - Theory · Physics 2024-08-08 C. P. Burgess , F. Muia , F. Quevedo

We classify $\mathcal N = 2$ Minkowski$_4$ solutions of IIB supergravity with an $SU(2)_R$ symmetry geometrically realized by an $S^2$-foliation in the remaining six dimensions. For the various cases of the classification, we reduce the…

High Energy Physics - Theory · Physics 2018-05-09 Fabio Apruzzi , Jakob C. Geipel , Andrea Legramandi , Niall T. Macpherson , Marco Zagermann

In effective supergravity theories following from the superstring, a modulus field can quite naturally set the neccessary initial conditions for successful cosmological inflation to be driven by a hidden sector scalar field. The leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 Subir Sarkar

We explore in detail the prospects of obtaining a four-dimensional de Sitter universe in classical supergravity models with warped and time-independent extra dimensions, presenting explicit cosmological solutions of the $(4+n)$-dimensional…

High Energy Physics - Theory · Physics 2011-03-28 Ishwaree P. Neupane

A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. Zet , C. D. Oprisan , S. Babeti

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