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The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing…

High Energy Physics - Theory · Physics 2011-07-21 J. Greitz , P. S. Howe

We develop geometric superspace settings to construct arbitrary higher derivative couplings (including R^n terms) in three-dimensional supergravity theories with N=1,2,3 by realising them as conformal supergravity coupled to certain…

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

Using superspace techniques we construct the general theory describing D=4, N=2 supergravity coupled to an arbitrary number of vector and scalar--tensor multiplets. The scalar manifold of the theory is the direct product of a special…

High Energy Physics - Theory · Physics 2008-11-26 Riccardo D'Auria , Gianguido Dall'Agata , Luca Sommovigo , Silvia Vaula'

Electric and magnetic Fayet-Ilioupulous (FI) terms are used to engineer partial breaking of ${\mathcal{N}=2}$ global supersymmetry for systems of vector multiplets. The magnetic FI term induces a deformation of the off-shell field…

High Energy Physics - Theory · Physics 2024-10-01 Gregory Gold , Saurish Khandelwal , Gabriele Tartaglino-Mazzucchelli

We construct a new dilaton Weyl multiplet for $\mathcal{N}=3$ conformal supergravity in four dimensions. The R-symmetry realized on this dilaton Weyl multiplet is $SU(2) \times U(1) \times U(1)$. The construction follows a two-step…

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

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 survey on-shell and off-shell higher derivative supergravities in dimensions $1\le D\le 11$. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor…

High Energy Physics - Theory · Physics 2024-08-06 Mehmet Ozkan , Yi Pang , Ergin Sezgin

We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The…

High Energy Physics - Theory · Physics 2014-11-21 H. Lu , C. N. Pope , E. Sezgin

We consider supersymmetric solutions of $D=5$ Euclidean gauged supergravity coupled to an arbitrary number of vector multiplets. We consider solutions that admit both the R-symmetry Killing vector, $\mathcal{K}$, constructed as a bilinear…

High Energy Physics - Theory · Physics 2026-05-07 Pietro Benetti Genolini , Jerome P. Gauntlett , Yusheng Jiao , Jaeha Park , James Sparks

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge…

High Energy Physics - Theory · Physics 2022-01-19 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow…

High Energy Physics - Theory · Physics 2018-01-03 Evgeny I. Buchbinder , Jessica Hutomo , Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We reformulate maximal D=5 supergravity in the consistent approach uniquely based on Free Differential Algebras and the solution of their Bianchi identities (= rheonomic method). In this approach the lagrangian is unnecessary since the…

High Energy Physics - Theory · Physics 2009-10-31 L. Andrianopoli , F. Cordaro , P. Fre' , L. Gualtieri

We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I, as well as the corresponding component results,…

High Energy Physics - Theory · Physics 2009-10-30 Sergei V. Ketov , Christine Unkmeir , Sven-Olaf Moch

We propose an ${\mathcal N}=3$ nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for ${\mathcal N} = 3$ Poincar\'e supergravity. These equations, which are naturally described in a new…

High Energy Physics - Theory · Physics 2025-04-14 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

This paper is mainly concerned with the construction of new off-shell higher spin N=1 supermultiplets in three spacetime dimensions. We elaborate on the gauge prepotentials and linearised super-Cotton tensors for higher spin N=1…

High Energy Physics - Theory · Physics 2016-11-28 Sergei M. Kuzenko , Mirian Tsulaia

In this paper we present a superspace formulation of $N = 1, D = 6$ supergravity with one tensor-multiplet and an arbitrary number of vector- and hypermultiplets, in which the bosonic abelian superforms of the theory, the dilaton, the…

High Energy Physics - Theory · Physics 2009-10-30 Gianguido Dall'Agata , Kurt Lechner

We consider the role of N=4 conformal supergravity in the relation between N=4 SYM theory and D=5 gauged supergravity expanded near the Anti de Sitter background. We discuss the structure of the SYM effective action in conformal…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1],…

High Energy Physics - Theory · Physics 2022-02-08 Mojtaba Najafizadeh

A systematic off-shell reduction scheme from five to four space-time dimensions is presented for supergravity theories with eight supercharges. It is applicable to theories with higher-derivative couplings and it is used to address a number…

High Energy Physics - Theory · Physics 2015-06-03 Nabamita Banerjee , Bernard de Wit , Stefanos Katmadas