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Related papers: AdS--Maxwell superalgebra and supergravity

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We present SuperMaxwell algebra: an N=1, D=4 algebra with two Majorana supercharges, obtained as the minimal enlargement of superPoincare containing the Maxwell algebra as a subalgebra. The new superalgebra describes the supersymmetries of…

High Energy Physics - Theory · Physics 2010-04-06 Sotirios Bonanos , Joaquim Gomis , Kiyoshi Kamimura , Jerzy Lukierski

The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified…

High Energy Physics - Theory · Physics 2022-11-01 S. M. Kuzenko , E. S. N. Raptakis , G. Tartaglino-Mazzucchelli

We explore the supersymmetry invariance of a supergravity theory in the presence of a non-trivial boundary. The explicit construction of a bulk Lagrangian based on an enlarged superalgebra, known as $AdS$-Lorentz, is presented. Using a…

High Energy Physics - Theory · Physics 2016-09-08 P. K. Concha , M. C. Ipinza , L. Ravera , E. K. Rodríguez

We deform the anti-de Sitter algebra by adding additional generators $\mathcal{Z}_{ab}$, forming in this way the negative cosmological constant counterpart of the Maxwell algebra. We gauge this algebra and construct a dynamical model with…

High Energy Physics - Theory · Physics 2015-05-28 R. Durka , J. Kowalski-Glikman , M. Szczachor

We describe a new first-order formulation of D=11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange…

High Energy Physics - Theory · Physics 2016-09-06 Yi Ling , Lee Smolin

We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of…

High Energy Physics - Theory · Physics 2010-01-06 Roel Andringa , Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Ergin Sezgin , Paul K. Townsend

Applying an efficient pattern-based computational method of generating the so-called 'resonating' algebraic structures results in a broad class of the new Lie (super)algebras. Those structures inherit the AdS base (anti)commutation pattern…

High Energy Physics - Theory · Physics 2022-12-09 Remigiusz Durka , Krzysztof M. Graczyk

The text is an essentially self-contained introduction to four-dimensional N=1 supergravity, including its couplings to super Yang-Mills and chiral matter multiplets, for readers with basic knowledge of standard gauge theories and general…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt

In this paper we formulate ${\cal N}=1$ supergravity as a constrained $BF$ theory with $OSp(4|1)$ gauge superalgebra. We derive the modified supergravity Lagrangian that, apart from the standard supergravity with negative cosmological…

High Energy Physics - Theory · Physics 2014-11-20 R. Durka , J. Kowalski-Glikman , M. Szczachor

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory. Brane solutions are surveyed. The geometry and symmetries of…

High Energy Physics - Theory · Physics 2007-05-23 Eric D'Hoker , Daniel Z. Freedman

In all the odd dimensions which allow Majorana spinors, we consider a gravitational Lagrangian possessing local Poincare invariance and given by the dimensional continuation of the Euler density in one dimension less. We show that the local…

High Energy Physics - Theory · Physics 2014-11-18 Mokhtar Hassaine , Mauricio Romo

We consider the minimal off-shell formulation for four-dimensional N=2 supergravity with a cosmological term, in which the second compensator is an improved tensor multiplet. We use it to derive a linearized supergravity action (and its…

High Energy Physics - Theory · Physics 2011-08-18 Daniel Butter , Sergei M. Kuzenko

We show that the first-order D=4, N=1 pure supergravity lagrangian four-form can be obtained geometrically as a quadratic expression in the curvatures of the Maxwell superalgebra. This is achieved by noticing that the relative coefficient…

High Energy Physics - Theory · Physics 2015-06-19 J. A. de Azcarraga , J. M. Izquierdo

Previously, Pahlavan, Rouhani and Takook have introduced a novel $N=1$ super-symmetric algebra in de Sitter space-time. This paper is an attempt to build a proper $N=1$ super-symmetric field theory of classical level in the de Sitter space.…

High Energy Physics - Theory · Physics 2016-11-22 M. R. Masouminia

The two-dimensional super-BMS$_{3}$ invariant theory dual to three-dimensional asymptotically flat $\mathcal{N}=1$ supergravity is constructed. It is described by a constrained or gauged chiral Wess-Zumino-Witten action based on the…

High Energy Physics - Theory · Physics 2015-10-30 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso

Supergravity theories at D=4 allow to formulate the Swampland de Sitter conjectures in the complex field space of scalar components of chiral multiplets. We formulate the de Sitter and refined de Sitter conjecture by using the K\"ahler…

High Energy Physics - Theory · Physics 2020-03-18 Sergio Ferrara , Magnus Tournoy , Antoine Van Proeyen

We construct two-dimensional supergravity theories endowed with a positive cosmological constant, that admit de Sitter vacua. We consider the cases of $\mathcal{N}=1$ as well as $\mathcal{N}=2$ supersymmetry, and couple the supergravity to…

High Energy Physics - Theory · Physics 2025-07-18 Dionysios Anninos , Pietro Benetti Genolini , Beatrix Mühlmann

We describe minimal supergravity models where supersymmetry is non-linearly realized via constrained superfields. We show that the resulting actions differ from the so called "de Sitter" supergravities because we consider constraints…

High Energy Physics - Theory · Physics 2017-02-01 N. Cribiori , G. Dall'Agata , F. Farakos , M. Porrati

In the low-energy limit, M-theory compactified on S1/Z2 is formulated in terms of Bianchi identities with sources localized at orbifold singularities and anomaly-cancelling counterterms to the Wilson effective Lagrangian. Compactifying to…

High Energy Physics - Theory · Physics 2010-11-19 J. -P. Derendinger , R. Sauser

We construct the Lagrangeans of N=3 and N=4 two-form supergravities. The two-form gravity theories are classically equivalent to the Einstein gravity theories and can be formulated as gauge theories. The gauge algebras used here can be…

High Energy Physics - Theory · Physics 2015-06-26 Tomoko Kadoyoshi , Shin'ichi Nojiri