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Completing earlier work on three dimensional (3D) N=1 supergravity with curvature-squared terms, we construct the general supergravity extension of cosmological massive gravity theories. We expand about supersymmetric anti-de Sitter vacua,…

High Energy Physics - Theory · Physics 2010-12-17 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Ergin Sezgin , Paul K. Townsend

Using on-shell gauge invariant formulation of relativistic dynamics we study interaction vertices for a massive spin 5/2 Dirac field propagating in (A)dS space of dimension greater than or equal to four. Gravitational interaction vertex for…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

These notes are intended to provide an introduction to supersymmetry. The notes begin with supersymmetric quantum mechanics and the basic properties of spinor fields. The supersymmetry of simple theories of spin-zero and spin-one-half…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kevin Cahill

Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such…

High Energy Physics - Theory · Physics 2021-05-12 I. L. Buchbinder , V. A. Krykhtin , Mirian Tsulaia , Dorin Weissman

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

We construct a ``pseudo-supersymmetric" fermionic extension of the effective action of the bosonic string in arbitrary spacetime dimension D. The theory is invariant under pseudo-supersymmetry transformations up to the quadratic fermion…

High Energy Physics - Theory · Physics 2015-05-28 H. Lu , C. N. Pope , Zhao-Long Wang

In this paper, we continue our investigation of gravitational interactions for massive higher spins extending our previous work on massive spin 3/2 and spin 2 to massive spin 5/2, including partially massless and massless limits. We use the…

High Energy Physics - Theory · Physics 2025-10-17 Yu. M. Zinoviev

We review the actions of the supergravity theory in eleven dimensions as well as the type IIA and IIB supergravities in ten dimensions and derive the bosonic equations of motion in a coordinate-free notation. We also consider the existence…

Differential Geometry · Mathematics 2016-07-20 M. J. D. Hamilton

Massive spin-2 fields in addition to the standard massless graviton arise naturally in extensions of General Relativity, such as massive bigravity or models with extra dimensions. This work explores the observational signatures of these…

General Relativity and Quantum Cosmology · Physics 2026-01-22 Jose A. R. Cembranos , Álvaro Cendal , Hector Villarrubia-Rojo

We give a basic introduction to ghost-free nonlinear theories involving massive spin-2 fields, focussing on bimetric theory. After motivating the construction of such models from field theoretical considerations, we review the linear…

General Relativity and Quantum Cosmology · Physics 2016-02-25 Angnis Schmidt-May

In this paper we construct explicit Lagrangian formulation for the massive spin-2 supermultiplets with N = k supersymmetries k = 1,2,3,4. Such multiplets contain 2k particles with spin-3/2, so there must exist N = 2k local supersymmetries…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

We analyse the couplings of a partially massless spin-2 field with a doublet of massless, real spin-3/2 fields. In the flat limit, this spectrum coincides with the spectrum of ${\cal N}=2$ pure supergravity around anti-de Sitter spacetime…

High Energy Physics - Theory · Physics 2025-01-13 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grassmann rules for manipulating the fields, in four spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephen C. Anco

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

We study the interaction of massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space and construct the corresponding cubic vertices. Construction is based on generalization of Fradkin-Vasiliev…

High Energy Physics - Theory · Physics 2015-06-19 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin…

High Energy Physics - Theory · Physics 2016-07-01 Masafumi Fukuma , Hikaru Kawai , Katsuta Sakai , Junji Yamamoto

The low-energy effective theories describing string compactifications in the presence of fluxes are so-called gauged supergravities: deformations of the standard abelian supergravity theories. The deformation parameters can be identified…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben

In the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spin$^c$ spinors on a spindle with an azimuthal rotation symmetry we show that under rather…

High Energy Physics - Theory · Physics 2022-02-09 Pietro Ferrero , Jerome P. Gauntlett , James Sparks

We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities.…

High Energy Physics - Theory · Physics 2009-11-07 E. Bergshoeff , T. de Wit , U. Gran , R. Linares , D. Roest

We construct Lorentz-invariant massless/massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we…

High Energy Physics - Theory · Physics 2019-04-24 Atsushi Naruko , Rampei Kimura , Daisuke Yamauchi