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The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

This thesis is dedicated to the study of the geometry of six-dimensional superspace, endowed with the minimal amount of supersymmetry. In the first part of it, we unfold the main geometrical features of such superspace by solving completely…

High Energy Physics - Theory · Physics 2015-11-03 Cesar Arias

We describe the linearized supergeometry of eleven dimensional supergravity with four off-shell local supersymmetries. We start with a background Minkowski 11D, N=1 superspace, and an additional ingredient of a global, constant,…

High Energy Physics - Theory · Physics 2022-12-14 Katrin Becker , Daniel Butter , Anindya Sengupta

We review the construction of higher-form symmetries for supersymmetric theories using a supergeometry framework. This reveals an enlarged set of topological conserved supercurrents, including Chern-Weil symmetries and new geometric…

High Energy Physics - Theory · Physics 2026-05-13 Pietro Antonio Grassi , Silvia Penati

We give a brief account of supersymmetric Born-Infeld theories with extended supersymmetry, including those with partially broken supersymmetry. Some latest developments in this area are presented. One of them is N=3 supersymmetric…

High Energy Physics - Theory · Physics 2007-05-23 E. Ivanov

We compute part of the superfield in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion' in 2nd-order formalism. The result is the same as was derived recently in 1.5-order formalism by B. de…

High Energy Physics - Theory · Physics 2007-05-23 Yuuichirou Shibusa

We present new off-shell formulations for the massive superspin-3/2 multiplet. In the massless limit, they reduce respectively to the old minimal (n=-1/3) and non-minimal ($n\neq -1/3, 0$) linearized formulations for 4D N=1 supergravity.…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

In $D=4$, $\cal{N}=1$ conformal superspace, the Yang-Mills matter coupled supergravity system is constructed where the Yang-Mills gauge interaction is introduced by extending the superconformal group to include the K\"ahler isometry group…

High Energy Physics - Theory · Physics 2019-12-10 Taichiro Kugo , Ryo Yokokura , Koichi Yoshioka

Supergravity with eight supercharges in a four-dimensional Euclidean space is constructed at the full non-linear level by performing an off-shell time-like reduction of five-dimensional supergravity. The resulting four-dimensional theory is…

High Energy Physics - Theory · Physics 2018-01-17 Bernard de Wit , Valentin Reys

We present a projective superspace formulation for matter-coupled simple supergravity in five dimensions. Our starting point is the superspace realization for the minimal supergravity multiplet proposed by Howe in 1981. We introduce various…

High Energy Physics - Theory · Physics 2008-11-26 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We present mechanisms for generating conical singularities both in three and four-dimensions in the systems with copies of scalar or chiral multiplets coupled to $N=2$ or $N=1$ supergravity. Our mechanisms are useful for supersymmetry…

High Energy Physics - Theory · Physics 2009-10-28 Hitoshi Nishino

Conformal supergravity provides an effective off-shell formalism to study higher derivative actions. We show that the $D=4$, $\mathcal{N}=2$ theory admits equivariantly closed forms. These may be used to compute closed-form expressions for…

High Energy Physics - Theory · Physics 2026-04-13 Pietro Benetti Genolini , Florian Gaar , Jerome P. Gauntlett , James Sparks

The superspace formulation of N=1 conformal supergravity in four dimensions is demonstrated to be equivalent to the conventional component field approach based on the superconformal tensor calculus. The detailed correspondence between two…

High Energy Physics - Theory · Physics 2019-12-10 Taichiro Kugo , Ryo Yokokura , Koichi Yoshioka

Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell…

High Energy Physics - Theory · Physics 2018-08-24 Federico Bonetti , Dietmar Klemm , Wafic A. Sabra , Peter Sloane

We consider the possible consistent truncation of N-extended supergravities to lower N' theories. The truncation, unlike the case of N-extended rigid theories, is non trivial and only in some cases it is sufficient just to delete the extra…

High Energy Physics - Theory · Physics 2009-11-07 Laura Andrianopoli , Riccardo D'Auria , Sergio Ferrara

We construct a dilaton Weyl multiplet for $N = 3$ conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the…

High Energy Physics - Theory · Physics 2025-06-05 Soumya Adhikari , Aravind Aikot , Madhu Mishra , Bindusar Sahoo

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 present a systematic account of supergravity theories in which the global scaling symmetry is gauged. This generalizes the standard gaugings of non-abelian off-shell symmetries. A particular feature of these theories is an additional…

High Energy Physics - Theory · Physics 2009-05-26 Arnaud Le Diffon , Henning Samtleben

We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D $\mathcal{N}=(2,0)$ superconformal algebra in superspace. We provide the complete gauged algebra, which proves to be considerably…

High Energy Physics - Theory · Physics 2025-06-19 Christian Kennedy , Gabriele Tartaglino-Mazzucchelli

We study an algebraic structure of magical supergravities in three dimensions. We show that if the commutation relations among the generators of the quasi-conformal group in the super-Ehlers decomposition are in a particular form, then one…

High Energy Physics - Theory · Physics 2018-04-10 Shin Fukuchi , Shun'ya Mizoguchi