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We derive the general supertrace formula for a system with $N$ chiral superfields and one nilpotent chiral superfield in global and local supersymmetry. The nilpotent multiplet is realized by taking the scalar-decoupling limit of a chiral…

High Energy Physics - Theory · Physics 2018-05-09 Divyanshu Murli , Yusuke Yamada

We construct a supersymmetric formulation of linearized New Massive Gravity without introducing higher derivatives. Instead, we introduce supersymmetrically a set of bosonic and fermionic auxiliary fields which, upon elimination by their…

High Energy Physics - Theory · Physics 2013-09-10 Eric A. Bergshoeff , Marija Kovacevic , Lorena Parra , Jan Rosseel , Yihao Yin , Thomas Zojer

The theory of non-linear realizations is used to derive the dynamics of the branes of M theory. A crucial step in this procedure is to use the enlarged automorphism group of the supersymmetry algebra recently introduced. The field strengths…

High Energy Physics - Theory · Physics 2009-10-31 P. West

We study the conditions under which a generic supergravity model involving chiral and vector multiplets can admit vacua with spontaneously broken supersymmetry and realistic cosmological constant. We find that the existence of such viable…

High Energy Physics - Theory · Physics 2008-11-26 Marta Gomez-Reino , Claudio A. Scrucca

When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra "$i$"s in…

High Energy Physics - Theory · Physics 2015-05-20 Yu Nakayama

The conformal compensator formalism is a convenient and versatile representation of supergravity (SUGRA) obtained by gauge fixing conformal SUGRA. Unfortunately, practical calculations often require cumbersome manipulations of component…

High Energy Physics - Phenomenology · Physics 2012-03-08 Clifford Cheung , Francesco D'Eramo , Jesse Thaler

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We propose a Goldstino model formulated in terms of a constrained complex linear superfield. Its comparison to other Goldstino models is given. Couplings to supersymmetric matter and supergravity are briefly described.

High Energy Physics - Theory · Physics 2016-08-26 Sergei M. Kuzenko , Simon J. Tyler

The concept of self-dual supersymmetric nonlinear electrodynamics is generalized to a curved superspace of N = 1 supergravity, for both the old minimal and the new minimal versions of N = 1 supergravity. We derive the self-duality equation,…

High Energy Physics - Theory · Physics 2009-11-07 Sergei M. Kuzenko , Shane A. McCarthy

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

In the framework of linearized non-minimal supergravity (20/20), we present the embedding of the $R + R^2$ model and we analyze its field spectrum. As usual, the auxiliary fields of the Einstein theory now become propagating, giving rise to…

High Energy Physics - Theory · Physics 2015-06-23 Fotis Farakos , Alex Kehagias , Konstantinos Koutrolikos

We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry in supergravity. Specifically, we construct a modified formulation of standard minimal N=1 supergravity as well as of anti-de Sitter supergravity…

High Energy Physics - Theory · Physics 2015-07-23 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva , Mahary Vasihoun

By introducing a nonlinearly transforming goldstino field non-super\-sym\-metric matter can be coupled to supergravity. This implies the possibility of coupling a standard model with one Higgs to supergravity.

High Energy Physics - Theory · Physics 2016-08-15 Jörg Teschner

We construct a non-relativistic limit of ten-dimensional N=1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand…

High Energy Physics - Theory · Physics 2022-01-05 E. A. Bergshoeff , J. Lahnsteiner , L. Romano , J. Rosseel , C. Simsek

We show that the instabilities of higher derivative gravity models with quadratic curvature invariant $\alpha R^2+\beta R_{\mu\nu}R^{\mu\nu}$ can be removed by judicious addition of constraints at the quadratic level of metric fluctuations…

High Energy Physics - Theory · Physics 2015-06-17 Tai-jun Chen , Eugene A. Lim

We build the minimal supergravity model where the nilpotent chiral goldstino superfield is coupled to a chiral matter superfield, realising a different non-linear representation through a mixed nilpotency constraint. The model describes the…

High Energy Physics - Theory · Physics 2016-01-20 Gianguido Dall'Agata , Sergio Ferrara , Fabio Zwirner

We develop a new off-shell formulation for five-dimensional (5D) conformal supergravity obtained by gauging the 5D superconformal algebra in superspace. An important property of the conformal superspace introduced is that it reduces to the…

High Energy Physics - Theory · Physics 2015-02-20 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We systematically investigate the finite set of possible gauge groups and matter content for N = 1 supergravity theories in six dimensions with no tensor multiplets, focusing on nonabelian gauge groups which are a product of SU(N) factors.…

High Energy Physics - Theory · Physics 2011-04-22 Vijay Kumar , Daniel S. Park , Washington Taylor

We give an overview of the different non-Lorentzian supergravity theories in diverse dimensions that have been constructed in recent years. After giving a detailed discussion of non-Lorentzian geometries as compared to Lorentzian…

High Energy Physics - Theory · Physics 2022-11-07 Eric A. Bergshoeff , Jan Rosseel

We study a non-relativistic limit of 11-dimensional supergravity. This limit leads to a theory with an underlying membrane Newton-Cartan geometry. Consistency of the non-relativistic limit requires the imposition of constraints, requiring…

High Energy Physics - Theory · Physics 2025-03-24 Eric A. Bergshoeff , Chris D. A. Blair , Johannes Lahnsteiner , Jan Rosseel