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A fundamental challenge in supersymmetric field theory is that supersymmetry transformations on field variables generally form an algebra only on-shell, i.e. upon imposing the field equations. We show that this issue is defused in a…

High Energy Physics - Theory · Physics 2025-07-08 J. François , L. Ravera

We present supersymmetric Yang-Mills theories in arbitrary even dimensions with the signature (9+m,1+m) where $m=0,1,2,...$ beyond ten-dimensions up to infinity. This formulation utilizes null-vectors and is a generalization of our previous…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino

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

In this note, we describe supersymmetric backgrounds for the four-dimensional maximally supersymmetric Yang-Mills theory. As an extension of the method of Festuccia and Seiberg to sixteen supercharges in four dimensions, we utilize the…

High Energy Physics - Theory · Physics 2017-03-08 Travis Maxfield

We develop the superspace geometry of N-extended conformal supergravity in three space-time dimensions. General off-shell supergravity-matter couplings are constructed in the cases N=1,2,3,4.

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Ulf Lindstrom , Gabriele Tartaglino-Mazzucchelli

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

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 2011-05-05 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre' , T. Magri

We introduce the supersymmetric version of YM-like theories with infinitely many spin fields in 4 dimension. The construction is carried out via the superfield method. The surprising feature of these models is that they describe in…

High Energy Physics - Theory · Physics 2020-12-18 Loriano Bonora , Stefano Giaccari

We construct supersymmetric completions of various curvature squared terms in five dimensional supergravity with eight supercharges. Adopting the dilaton Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar squared as…

High Energy Physics - Theory · Physics 2013-08-15 Mehmet Ozkan , Yi Pang

We present the Green-Schwarz $\s\-$model coupled to the $N=1$ {\it {supersymmetric}} Yang-Mills and supergravity in a four-dimensional space-time with the indefinite signature $(+,+,-,-)$. We first confirm the $\k\-$invariance of the…

High Energy Physics - Theory · Physics 2012-08-27 H. Nishino , S. J. Gates, , S. V. Ketov

For general off-shell N=2 supergravity-matter systems in three spacetime dimensions, a formalism is developed to reduce the corresponding actions from superspace to components. The component actions are explicitly computed in the cases of…

High Energy Physics - Theory · Physics 2014-04-29 Sergei M. Kuzenko , Ulf Lindstrom , Martin Rocek , Ivo Sachs , Gabriele Tartaglino-Mazzucchelli

6D maximal super Yang-Mills on-shell amplitudes are formulated in superspace using 6 dimensional twistors. The 3,4,5-point tree amplitudes are obtained by supersymmetrizing their bosonic counterparts and confirmed through the BCFW…

High Energy Physics - Theory · Physics 2015-03-13 Tristan Dennen , Yu-tin Huang , Warren Siegel

We revisit the issue of higher-dimensional counterterms for the N=(1,1) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell N=(1,0) and on-shell N=(1,1) harmonic superspace approaches. The second approach is…

High Energy Physics - Theory · Physics 2021-05-17 Guillaume Bossard , Evgeny Ivanov , Andrei Smilga

Off-shell $(4,0)$ supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperk\"ahler with torsion. The off-shell supersymmetry implies that…

High Energy Physics - Theory · Physics 2017-09-13 Chris Hull , Ulf Lindström

We present a Lorentz invariant lagrangian formulation for a supersymmetric Yang-Mills vector multiplet in eleven dimensions (11D). The Lorentz symmetry is broken at the field equation level, and therefore the breaking is spontaneous, as in…

High Energy Physics - Theory · Physics 2009-10-31 Hitoshi Nishino

We consider `twin supergravities' - pairs of supergravities with $\mathcal{N}_+$ and $\mathcal{N}_-$ supersymmetries, $\mathcal{N}_+>\mathcal{N}_-$, with identical bosonic sectors - in the context of tensoring super Yang-Mills multiplets.…

High Energy Physics - Theory · Physics 2017-07-26 A. Anastasiou , L. Borsten , M. J. Duff , M. J. Hughes , A. Marrani , S. Nagy , M. Zoccali

We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the…

High Energy Physics - Theory · Physics 2008-12-18 I. L. Buchbinder , N. G. Pletnev

It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Morita

In a superspace formulation of Yang-Mills theory previously proposed, we show how gauge-invariant operators and scalars can be incorporated keeping intact the (broken) $Osp(3,1|2)$ symmetry of the superspace action. We show in both cases,…

High Energy Physics - Theory · Physics 2014-11-18 Satish D. Joglekar , Bhabani Prasad Mandal

We develop a general setting for N=2 rigid supersymmetric field theories with gauged central charge in harmonic superspace. We consider those N=2 multiplets which have a finite number of off-shell components and exist off shell owing to a…

High Energy Physics - Theory · Physics 2009-10-31 N. Dragon , E. Ivanov , S. Kuzenko , E. Sokatchev , U. Theis
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