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We describe several families of primary linear supermultiplets coupled to three-dimensional ${\cal N}=2$ conformal supergravity and use them to construct topological $BF$-type terms. We introduce conformal higher-spin gauge superfields and…

High Energy Physics - Theory · Physics 2018-12-19 Jessica Hutomo , Sergei M. Kuzenko , Daniel Ogburn

We study conserved currents of any integer or half integer spin built from massless scalar and spinor fields in $AdS_3$. 2-forms dual to the conserved currents in $AdS_3$ are shown to be exact in the class of infinite expansions in higher…

High Energy Physics - Theory · Physics 2009-10-31 Sergey Prokushkin , Mikhail Vasiliev

Using unfolded formulation of free equations for massless fields of all spins we obtain explicit form of higher-spin conformal conserved charges bilinear in 4d massless fields of arbitrary spins.

High Energy Physics - Theory · Physics 2008-11-26 O. A. Gelfond , E. D. Skvortsov , M. A. Vasiliev

Conserved currents of any spin $t>0$ built from bosonic symmetric massless gauge fields of arbitrary integer spins in $AdS_4$ are found. Analogously to the case of $4d$ Minkowski space, currents considered in this paper are not gauge…

High Energy Physics - Theory · Physics 2024-05-13 P. A. Smirnov , M. A. Vasiliev

We introduce a first order description of linearized non-minimal ($n=-1$) supergravity in superspace, using the unconstrained prepotential superfield instead of the conventionally constrained super one forms. In this description, after…

High Energy Physics - Theory · Physics 2021-10-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We propose higher spin supercurrent multiplets for ${\cal N}=1$ supersymmetric field theories in four-dimensional anti-de Sitter space (AdS). Their explicit realisations are derived for various supersymmetric theories, including a model of…

High Energy Physics - Theory · Physics 2018-09-26 Evgeny I. Buchbinder , Jessica Hutomo , Sergei M. Kuzenko

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

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the…

High Energy Physics - Theory · Physics 2010-11-30 Xavier Bekaert , Elisa Meunier

Off-shell actions for massless higher-spin $\mathcal{N}=1$ supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the…

High Energy Physics - Theory · Physics 2025-10-21 Evgeny I. Buchbinder , Sergei M. Kuzenko , Igor B. Samsonov

Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency…

High Energy Physics - Theory · Physics 2015-06-04 Euihun Joung , Luca Lopez , Massimo Taronna

We review the superfield formulation of $\mathcal{N}=2$ higher-spin supergravity theory in harmonic superspace. The analysis of both the hypermultiplet higher-spin supersymmetries and conformal supersymmetries is performed. The analytic…

High Energy Physics - Theory · Physics 2025-03-05 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

In this paper we investigate the possible supersymmetric extensions for the massive (bi)gravity theories in the lowest non-trivial order. For this purpose we construct the cubic interaction vertices for massive spin-2 and one or two massive…

High Energy Physics - Theory · Physics 2018-08-08 Yu. M. Zinoviev

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 construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell…

High Energy Physics - Theory · Physics 2014-11-20 Dimitri Polyakov

We propose the action for a massive $N$-extended superparticle with a pure (half)integer superspin $Y,~Y = 0, 1/2, 1, 3/2, \ldots$. Regardless of the superspin value, the configuration space is ${\Bbb R}^{4|4N} \times S^2$, where $S^2$…

High Energy Physics - Theory · Physics 2008-11-26 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal

In recent papers arXiv:2109.07639 [hep-th] and arXiv:2202.08196 [hep-th], we constructed free off-shell $\mathcal{N}=2$ supersymmetric higher spin gauge theories in harmonic superspace and their cubic couplings to hypermultiplet. The…

High Energy Physics - Theory · Physics 2023-07-12 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

We show that the self-dual Yang-Mills equations afford supersymmetrisation to systems of equations invariant under global N-extended super-Poincar\'e transformations for arbitrary values of N, without the limitation (N\le 4) applicable to…

High Energy Physics - Theory · Physics 2015-06-26 Ch. Devchand , V. Ogievetsky

We study theories of 4D, N=1 supersymmetric massless, arbitrary integer superspins. A new state-of-the art is being established by the discovery of a new series of such theories for arbitrary superspin Y (Y=s for any integer s) The lowest…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Konstantinos Koutrolikos

We demonstrate how to reconstruct standard cubic vertices for N=1 supersymmetric Yang-Mills and Supergravities using various techniques adopted for the description of cubic interactions between higher spin fields.

High Energy Physics - Theory · Physics 2022-05-19 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia , D. Weissman

We consider unconstrained formulation of the higher spin gauge theory in anti de Sitter (AdS) spacetime, given by actions [1, 2], and provide on-shell supersymmetry transformations for the $\mathcal{N}=1$ unconstrained massless higher spin…

High Energy Physics - Theory · Physics 2022-01-05 Mojtaba Najafizadeh