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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

The physical states of N=4 conformal supergravity in four dimensions occur in twistor-string theory by Berkovits and Witten(hep-th/0406051). We study two alternative versions of twistor-string theory based on the B-model of weighted…

High Energy Physics - Theory · Physics 2008-11-26 Changhyun Ahn

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $\lambda R^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2…

High Energy Physics - Theory · Physics 2015-06-11 W. Chemissany , S. Ferrara , R. Kallosh , C. S. Shahbazi

Exact solutions of N=2 supergravity in five dimensions are found in the metric with cylindrical symmetry, a particular case corresponds to the exterior of a cosmic string.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pimentel L O

We study various N=2 multiplets in four dimensions by looking at the supersymmetric truncation of four dimensional N=3 multiplets. Under supersymmetric truncation, the off-shell N=3 Weyl multiplet reduces to the off-shell N=2 Weyl multiplet…

High Energy Physics - Theory · Physics 2025-06-03 Aravind Aikot , Bindusar Sahoo

In the N=1 four-dimensional new-minimal supergravity framework, we supersymmetrise the coupling of the scalar kinetic term to the Einstein tensor. This coupling, although introduces a non-minimal derivative interaction of curvature to…

High Energy Physics - Theory · Physics 2015-06-04 Fotis Farakos , Cristiano Germani , Alex Kehagias , Emmanuel N. Saridakis

A unique feature of N=6 conformal supergravity in three dimensions is that the super Cotton tensor W^{IJKL} can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, W^{IJ}. Using this…

High Energy Physics - Theory · Physics 2015-10-08 Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

N=2 conformal supergravity in five dimensions is constructed via a systematic off-shell reduction scheme from maximal conformal supergravity in six dimensions which is (2,0). The dimensional reduction of the (2,0) Weyl multiplet in six…

High Energy Physics - Theory · Physics 2024-07-09 Soumya Adhikari , Bindusar Sahoo

This paper presents a projective superspace formulation for 4D N = 2 matter-coupled supergravity. We first describe a variant superspace realization for the N = 2 Weyl multiplet. It differs from that proposed by Howe in 1982 by the choice…

High Energy Physics - Theory · Physics 2009-01-27 S. M. Kuzenko , U. Lindstrom , M. Rocek , G. Tartaglino-Mazzucchelli

One-dimensional sigma-models with N supersymmetries are considered. For conventional supersymmetries there must be N-1 complex structures satisfying a Clifford algebra and the constraints on the target space geometry can be formulated in…

High Energy Physics - Theory · Physics 2007-05-23 C. M. Hull

We modify the four-dimensional N=1 linearized supergravity in a way that components in each superfield are completely identified with fields in the full superconformal formulation. This identification makes it possible to use both…

High Energy Physics - Theory · Physics 2015-05-28 Yutaka Sakamura

The most detailed constructions of microstate geometries, and particularly of superstrata, are done using $\mathcal{N} = (1,0)$ supergravity coupled to two anti-self-dual tensor multiplets in six dimensions. We show that an important…

High Energy Physics - Theory · Physics 2020-10-28 Daniel R. Mayerson , Robert A. Walker , Nicholas P. Warner

Lagrangians for several new off-shell 4D, N = 1 supersymmetric descriptions of massive superspin-1 and superspin-3/2 multiplets are described. Taken together with the models previously constructed, there are now four off-shell formulations…

High Energy Physics - Theory · Physics 2012-08-27 I. L. Buchbinder , S. James Gates, , S. M. Kuzenko , J. Phillips

We construct a new off-shell invariant in N=2, D=5 supergravity whose leading term is the square of the Riemann tensor. It contains a gravitational Chern-Simons term involving the vector field that belongs to the supergravity multiplet. The…

High Energy Physics - Theory · Physics 2015-05-28 Eric A. Bergshoeff , Jan Rosseel , Ergin Sezgin

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 give a formulation of linearized minimal 5-dimensional supergravity in N = 1 superspace. Infinitesimal local 5D diffeomorphisms, local 5D Lorentz transformations, and local 5D supersymmetry are all realized as off-shell superfield…

High Energy Physics - Theory · Physics 2008-11-26 W. D. Linch , Markus A. Luty , J. Phillips

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We derive the couplings of the 3-form supermultiplet to the general supergravity-matter-Yang-Mills system. Based on the methods of superspace geometry, we identify component fields, establish their supergravity transformations and construct…

High Energy Physics - Theory · Physics 2009-10-30 P. Binétruy , F. Pillon , G. Girardi , R. Grimm

We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4,4)…

High Energy Physics - Theory · Physics 2014-11-20 M. Goteman , U. Lindstrom , M. Rocek , Itai Ryb

We describe several families of primary linear supermultiplets coupled to three-dimensional ${\cal N}=2$ conformal supergravity and use them to construct topological $BF$-type terms. We introduce conformal higher-spin gauge superfields and…

High Energy Physics - Theory · Physics 2018-12-19 Jessica Hutomo , Sergei M. Kuzenko , Daniel Ogburn
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