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We construct the component action of the system including an ordinary matter and a nilpotent multiplet in global and local supersymmetric framework. The higher dimensional operators of not only Goldstino but also matter and gravitino fields…

High Energy Physics - Theory · Physics 2017-03-10 Fuminori Hasegawa , Yusuke Yamada

We give a linearized but otherwise complete supersymmetric action for ${\cal N}=(4,0)$ supergravity in six dimensions, using a Kaluza-Klein-type $5+1$ split of coordinates and fields. We provide in particular a significantly simplified…

High Energy Physics - Theory · Physics 2022-09-14 Yannick Bertrand , Stefan Hohenegger , Olaf Hohm , Henning Samtleben

We present an action for $N=1$ supergravity in $10+2$ dimensions, containing the gauge fields of the $OSp(1|64)$ superalgebra, i.e. one-forms $B^{(n)}$ with $n$=1,2,5,6,9,10 antisymmetric D=12 Lorentz indices and a Majorana gravitino…

High Energy Physics - Theory · Physics 2018-03-28 Leonardo Castellani

Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N=2 Poincare superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are…

High Energy Physics - Theory · Physics 2022-01-05 R. R. Metsaev

Basics of ${\cal N}=2, 4D$ conformal and Einstein supergravities in the harmonic superspace approach are outlined. The crucial merit of this formulation consists in that the relevant off-shell supermultiplets, in particular ${\cal N}=2, 4D$…

High Energy Physics - Theory · Physics 2022-12-16 Evgeny Ivanov

We give N=1 supersymmetric extension of D=4 dual gravity non-linear action proposed in arXiv:0806.2775. The dual supergravity action and symmetries of the model, but supersymmetry, are realized in a local way.

High Energy Physics - Theory · Physics 2008-07-24 A. J. Nurmagambetov

In this work we present novel and known three-dimensional hypergravity theories which are obtained by applying the powerful semigroup expansion method. We show that the expansion procedure considered here yields a consistent way of coupling…

High Energy Physics - Theory · Physics 2023-04-24 Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the…

High Energy Physics - Theory · Physics 2020-06-24 L. Castellani , C. A. Cremonini , P. A. Grassi

In the recent paper arXiv:1606.02921, the two invariant actions for 6D $N=(1,0)$ conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of $C^3$ and $C\Box C$. In this paper, we provide the…

High Energy Physics - Theory · Physics 2017-08-23 Daniel Butter , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We reconstruct the action of $N=1, D=4$ Wess-Zumino and $N=1, 2, D=4$ super-Yang-Mills theories, using integral top forms on the supermanifold ${\cal M}^{(4|4)}$. Choosing different Picture Changing Operators, we show the equivalence of…

High Energy Physics - Theory · Physics 2018-06-13 L. Castellani , R. Catenacci , P. A. Grassi

We consider generic N=1 supersymmetric matter coupled to linearized N=1 supergravity through the multiplet of currents. By completing the square, we find the effective action giving the leading supergravity induced correction to the matter…

High Energy Physics - Theory · Physics 2009-10-31 Stephen L. Adler

An effective action is obtained for the $N=1$, $2D-$induced supergravity on a compact super Riemann surface (without boundary) $\hat\Sigma$ of genus $g>1$, as the general solution of the corresponding superconformal Ward identity. This is…

High Energy Physics - Theory · Physics 2010-04-06 J-P Ader , H. Kachkachi

We construct in detail an N=1, D=4 superspace with the superconformal algebra as the structure group and discuss its relation to prior component approaches and the existing Poincar\'e superspaces.

High Energy Physics - Theory · Physics 2010-04-22 Daniel Butter

We identify the quantum algebra of position and momentum operators for a quantum system bearing an irreducible representation of the super Poincare algebra in the N>1 and D=4 superspace both in the case where there are not central charges…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Hatcher , A. Restuccia , J. Stephany

An alternative path is taken for deriving an action for the supersymmetric 5-brane in 11 dimensions. Selfduality does not follow from the action, but is consistent with the equations of motion for arbitrary supergravity backgrounds. The…

High Energy Physics - Theory · Physics 2009-10-30 Martin Cederwall , Bengt E. W. Nilsson , Per Sundell

The self-duality of the N=1 supersymmetric Born--Infeld action implies a double self-duality of the tensor multiplet square-root action when the scalar and the antisymmetric tensor are interchanged via Poincare' duality. We show how this…

High Energy Physics - Theory · Physics 2015-06-11 S. Ferrara , A. Sagnotti , A. Yeranyan

We identify a superspace mechanism behind equivariant localization in supergravity. We show that closed superforms generate, on supersymmetric backgrounds, equivariantly closed polyforms. After presenting the general mechanism, we construct…

High Energy Physics - Theory · Physics 2026-05-19 Michele Galli , Christian Kennedy , Parth Raina , Gabriele Tartaglino-Mazzucchelli

We give efficient superspace methods for deriving component actions for supergravity coupled to matter. One method uses normal coordinates to covariantly expand the superfield action, and can be applied straightforwardly to any superspace.…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Marcus T. Grisaru , Marcia E. Knutt-Wehlau , Warren Siegel

We start by a concise yet thorough revision of four-dimensional superspace supergravity. We present curved superspace geometry, for arbitrary N, including torsion, curvature and Bianchi identities. We motivate the choice of torsion…

High Energy Physics - Theory · Physics 2010-09-07 Filipe Moura

We derive the equations of motion of type II 4D supergravity in superspace. This is achieved by coupling the Type II Berkovits' hybrid superstring to an N=2 curved background and requiring that the sigma-model has N=(2,2) superconformal…

High Energy Physics - Theory · Physics 2007-05-23 Daniel L. Nedel