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Free massless higher-superspin superfields on the N=1, D=4 anti-de Sitter superspace are introduced. The linearized gauge transformations are postulated. Two families of dually equivalent gauge-invariant action functionals are constructed…

High Energy Physics - Theory · Physics 2011-12-21 S. M. Kuzenko , A. G. Sibiryakov

The product of two N=8 supersingletons yields an infinite tower of massless states of higher spin in four dimensional anti de Sitter space. All the states with spin s > 1/2 correspond to generators of Vasiliev's super higher spin algebra…

High Energy Physics - Theory · Physics 2010-02-03 E. Sezgin , P. Sundell

Within the framework of ${\mathcal N}=1$ anti-de Sitter (AdS) supersymmetry in four dimensions, we derive superspin projection operators (or superprojectors). For a tensor superfield $\mathfrak{V}_{\alpha(m)\dot{\alpha} (n)} :=…

High Energy Physics - Theory · Physics 2021-04-28 E. I. Buchbinder , D. Hutchings , S. M. Kuzenko , M. Ponds

We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin…

High Energy Physics - Theory · Physics 2019-09-04 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

We present N=2 supersymmetry transformations, both in N=1, D=4 Minkowski and anti-de Sitter superspaces, for higher superspin massless theories. It is noted that the existence of dual versions of massless supermultiplets with arbitrary…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Sergei M. Kuzenko , Alexander G. Sibiryakov

Free AdS(5) mixed-symmetry massless bosonic and fermionic gauge fields of arbitrary spins are described by using su(2,2) spinor language. Manifestly covariant action functionals are constructed and field equations are derived.

High Energy Physics - Theory · Physics 2008-11-26 K. B. Alkalaev

We determine the form of a significantly large class of gauge-invariant quartic vertices for symmetric higher-spin fields (in Vasiliev formalism) in AdS5 space in the rectangular limit, (defined in the paper) using the higher-spin vertex…

High Energy Physics - Theory · Physics 2018-09-28 Dimitri Polyakov , Cong Zhang

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall

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 consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm

We consider theories of three dimensional quantum gravity in Anti-de Sitter space which possess massless higher-spin gauge symmetry. The perturbative spectrum of the theory includes higher spin excitations which can be organized into vacuum…

High Energy Physics - Theory · Physics 2013-12-05 Alejandra Castro , Arnaud Lepage-Jutier , Alexander Maloney

We consider the frame-like formulation of reducible sets of totally symmetric bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any dimension, that correspond to so-called higher-spin triplets resulting from the…

High Energy Physics - Theory · Physics 2008-12-18 Dmitri P. Sorokin , Mikhail A. Vasiliev

We find and classify the ${\cal N}=1$ SUSY multiplets on AdS$_4$ which contain partially massless fields. We do this by studying the non-unitary representations of the $d=3$ superconformal algebra of the boundary. The simplest…

High Energy Physics - Theory · Physics 2018-12-05 Sebastian Garcia-Saenz , Kurt Hinterbichler , Rachel A. Rosen

We construct the higher spin wave functions in the embedding space of anti-de Sitter Lorentzian spacetime. These wave functions are built from a primary wave functions that has a simple structure expressed in terms of the special conformal…

High Energy Physics - Theory · Physics 2025-11-21 David Berenstein , Ziyi Li

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained…

High Energy Physics - Theory · Physics 2016-11-23 Mikhail Vasiliev

It is shown that the quantization of a superparticle propagating in an N=1, D=4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher…

High Energy Physics - Theory · Physics 2010-02-03 Mikhail Plyushchay , Dmitri Sorokin , Mirian Tsulaia

We give explicit construction for massive higher spin supermultiplets for the case of minimal supersymmetry in d=3 and find the corresponding Lagrangian formulations. We show that all such massive supermultiplets can be straightforwardly…

High Energy Physics - Theory · Physics 2015-10-02 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

This thesis presents the general structure of non-conformal higher-spin supercurrent multiplets in three and four spacetime dimensions. Such supercurrents are in one-to-one correspondence with off-shell massless higher-spin gauge…

High Energy Physics - Theory · Physics 2020-09-03 Jessica Hutomo

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

The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin s=0,2,4,.. that arise in the symmetric product of two spin 0 singletons. It is based on an infinite dimensional extension of the AdS_4…

High Energy Physics - Theory · Physics 2009-11-07 E. Sezgin , P. Sundell