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We describe the supersymmetric completion of several curvature-squared invariants for ${\cal N}=(1,0)$ supergravity in six dimensions. The construction of the invariants is based on a close interplay between superconformal tensor calculus…

High Energy Physics - Theory · Physics 2019-04-30 Daniel Butter , Joseph Novak , Mehmet Ozkan , Yi Pang , Gabriele Tartaglino-Mazzucchelli

There exists two distinct off-shell ${\mathcal{N}}=2$ supergravities in three dimensions. They are also referred to as ${\mathcal{N}}=(1,1)$ and ${\mathcal{N}}=(2,0)$ supergravities, and they arise from the coupling of the Weyl multiplet to…

High Energy Physics - Theory · Physics 2015-03-03 Gokhan Alkac , Luca Basanisi , Eric A. Bergshoeff , Mehmet Ozkan , Ergin Sezgin

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

Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D) are presented in this paper. We propose gauge prepotentials for higher spin superconformal gravity and construct the corresponding gauge-invariant field strengths,…

High Energy Physics - Theory · Physics 2016-11-30 Sergei M. Kuzenko , Daniel X. Ogburn

We present for the first time the component structure of the supersymmetric completions for all curvature-squared invariants of five-dimensional, off-shell (gauged) minimal supergravity, including all fermions. This is achieved by using an…

High Energy Physics - Theory · Physics 2023-11-02 Gregory Gold , Jessica Hutomo , Saurish Khandelwal , Gabriele Tartaglino-Mazzucchelli

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

We formulate N=2 twisted super Yang-Mills theory with a gauged central charge by superconnection formalism in two dimensions. We obtain off-shell invariant supermultiplets and actions with and without constraints, which is in contrast with…

High Energy Physics - Theory · Physics 2014-05-07 Keisuke Asaka , Junji Kato , Noboru Kawamoto , Akiko Miyake

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

We discuss $N=2\to N=1$ reduction in four dimensional conformal supergravity. In particular, we keep the off-shell structure of supermultiplets (except hypermultiplets). As we will show, starting with (almost) off-shell conformal…

High Energy Physics - Theory · Physics 2019-06-26 Yusuke Yamada

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 propose a superspace formulation for the Weyl multiplet of N=1 conformal supergravity in five dimensions. The corresponding superspace constraints are invariant under super-Weyl transformations generated by a real scalar parameter. The…

High Energy Physics - Theory · Physics 2009-11-19 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

Making use of the known off-shell formulations for massless higher-spin ${\cal N}=1$ supermultiplets in four dimensions, gauge-invariant off-shell actions for massive higher-spin ${\cal N}=2$ supermultiplets in three dimensions (3D) are…

High Energy Physics - Theory · Physics 2026-04-22 Evgeny I. Buchbinder , Arcadia J. Fegebank , Sergei M. Kuzenko

We present some multiplets of N=2 off-shell supergravity in five dimensions. One is the Super Yang-Mills multiplet, another one is the linear multiplet. The latter one is used to establish a general action formula from which we derive an…

High Energy Physics - Theory · Physics 2009-10-31 Max Zucker

Off-shell formulations of supergravities allow one to add closed-form higher-derivative super-invariants that are separately supersymmetric to the usual lower-derivative actions. In this paper we study four-dimensional off-shell N=1…

High Energy Physics - Theory · Physics 2013-05-21 Hai-Shan Liu , Hong Lu , Yi Pang , C. N. Pope

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

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

Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale…

High Energy Physics - Theory · Physics 2019-11-19 Salih Kibaroğlu , Oktay Cebecioğlu

We present a systematic way for deriving a four-dimensional (4D) effective action of the five-dimensional (5D) orbifold supergravity respecting the N=1 {\it off-shell} structure. As an illustrating example, we derive a 4D effective theory…

High Energy Physics - Theory · Physics 2007-10-16 Hiroyuki Abe

We investigate N=2, D=5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a Lagrangian. Under this assumption, we already find at the level of rigid…

High Energy Physics - Theory · Physics 2009-11-07 Eric Bergshoeff , Sorin Cucu , Tim de Wit , Jos Gheerardyn , Rein Halbersma , Stefan Vandoren , Antoine Van Proeyen

We consider the dimensional reduction of N=(2,0) conformal supergravity in six dimensions on a two-torus to N=4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to…

High Energy Physics - Theory · Physics 2025-01-16 Franz Ciceri , Axel Kleinschmidt , Subrabalan Murugesan , Bindusar Sahoo