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A short introduction to N = 1 supergravity in four dimensions in the superspace approach is given emphasising on all steps to obtain the final Lagrangian. In particular starting from geometrical principles and the introduction of…

High Energy Physics - Theory · Physics 2021-04-15 Robin Ducrocq , Michel Rausch de Traubenberg , Mauricio Valenzuela

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

We study two-dimensional N=2 supersymmetric actions describing general models of scalar and vector multiplets coupled to supergravity.

High Energy Physics - Theory · Physics 2012-08-27 S. J. Gates, , M. T. Grisaru , M. E. Wehlau

We obtain by superfield methods the exceptional representations of the OSp(2N/4,R) and SU(2,2/1) superalgebras which extend to supersingletons of SU(2,2/2N) and F(4), respectively. These representations describe superconformally coupled…

High Energy Physics - Theory · Physics 2009-11-07 Sergio Ferrara , Emery Sokatchev

We consider the problem of extremizing the tension for BPS strings in D=6 supergravities with different number of supersymmetries. General formulae for fixed scalars and a discussion of degenerate directions is given. Quantized moduli,…

High Energy Physics - Theory · Physics 2009-10-31 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

We review the properties of classical p-brane solutions to supergravity theories, i.e. solutions that may be interpreted as Poincare-invariant hyperplanes in spacetime. Topics covered include the distinction between elementary/electric and…

High Energy Physics - Theory · Physics 2008-02-03 K. S. Stelle

We give an elementary introduction to the structure of supergravity theories. This leads to a table with an overview of supergravity and supersymmetry theories in dimensions 4 to 11. The basic steps in constructing supergravity theories are…

High Energy Physics - Theory · Physics 2007-05-23 Antoine Van Proeyen

We construct supergravity solutions for Dp-branes at orbifold points. The solutions are written in terms of a single function, which is the solution to a nonlinear differential equation. The near horizon limits of these solutions are dual,…

High Energy Physics - Theory · Physics 2009-10-31 A. Rajaraman

On a historical note, we first describe the early superspace construction of counterterms in supergravity and then move on to a brief discussion of selected areas in string theory where higher order supergravity invariants enter the…

High Energy Physics - Theory · Physics 2007-05-23 Ulf Lindstrom

We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincar\'e symmetries manifestly. The remaining four supersymmetries and the rest…

High Energy Physics - Theory · Physics 2020-04-22 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch , Stephen Randall

We rewrite the equations for ten-dimensional supersymmetry in a way formally identical to a necessary and sufficient G-structure system in N=2 gauged supergravity, where all four-dimensional quantities are replaced by combinations of pure…

High Energy Physics - Theory · Physics 2015-06-16 Dario Rosa , Alessandro Tomasiello

I review a recently proposed method for determining the symmetry superalgebra of a supergravity configuration from its Killing spinors, and its application to the `near-horizon' limits of various rotating and intersecting branes.

High Energy Physics - Theory · Physics 2007-05-23 P. K. Townsend

We give a general review of extended supergravities and their gauging using the duality-covariant embedding tensor formalism. Although the focus is on four-dimensional theories, an overview of the gauging procedure and the related tensor…

High Energy Physics - Theory · Physics 2022-03-24 Mario Trigiante

We explore the connection of anti-de-Sitter supergravity in six dimensions, based on the exceptional F(4) superalgebra, and its boundary superconformal singleton theory. The interpretation of these results in terms of a D4-D8 system and its…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , A. Kehagias , H. Partouche , A. Zaffaroni

The role of duality symmetries in the construction of counterterms for maximal supergravity theories is discussed in a field-theoretic context from different points of view. These are: dimensional reduction, the question of whether…

High Energy Physics - Theory · Physics 2011-01-17 G. Bossard , P. S. Howe , K. S. Stelle

We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the…

High Energy Physics - Theory · Physics 2015-09-30 Guillaume Bossard , Axel Kleinschmidt

We propose the 4D, N=1 supergravitational analogues (avatars) of the 4D, N=1 supersymmetric Born-Infeld action in four dimensions for the first time, by using superspace. In particular, a new Born-Infeld type generalization of the Weyl…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei V. Ketov

The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in hep-th/0401129, is completed. The structure of all solutions for which…

High Energy Physics - Theory · Physics 2009-11-11 Jan B. Gutowski , Wafic Sabra

After reviewing briefly the classical examples of duality in four dimensional field theory we present a generalisation to arbitrary dimensions and to p-form fields. Then we explain how U-duality may become part of a larger non abelian…

High Energy Physics - Theory · Physics 2007-05-23 Bernard L. Julia

We apply the Lie algebra expansion method to the $\mathcal{N}=1$ super-Poincar\'e algerba in four dimensions. We define a set of p-brane projectors that induce a decomposition of the super-Poincar\'e algebra preparatory for the expansion.…

High Energy Physics - Theory · Physics 2020-07-07 Luca Romano