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We construct and study the supersymmetry properties of the weighted projective spaces $\mathbb{WCP}^2$ and $\mathbb{WCP}^3$. These are topologically $\mathbb{CP}^n$ with $n+1$ orbifold singularities and as such are higher dimensional…

High Energy Physics - Theory · Physics 2025-12-02 Andrea Conti , Niall T. Macpherson

Free totally symmetric arbitrary spin massive bosonic and fermionic fields propagating in AdS(d) are investigated. Using the light cone formulation of relativistic dynamics we study bosonic and fermionic fields on an equal footing.…

High Energy Physics - Theory · Physics 2010-04-05 R. R. Metsaev

An embedding superspace, whose Bosonic part is the flat 2 + 1 dimensional embedding space for AdS2, is introduced. Superfields and several supersymmetric models are examined in the embedded AdS2 superspace.

High Energy Physics - Theory · Physics 2007-05-23 D. G. C. McKeon , T. N. Sherry

We test infinite-dimensional extension of algebra su(k,k) proposed by Fradkin and Linetsky as the candidate for conformal higher spin algebra. Adjoint and twisted-adjoint representations of su(k,k) on the space of this algebra are carefully…

High Energy Physics - Theory · Physics 2016-09-29 Oleg Shaynkman

For every positively curved Kahler-Einstein manifold in four dimensions we construct an infinite family of supersymmetric solutions of type IIB supergravity. The solutions are warped products of AdS_3 with a compact seven-dimensional…

High Energy Physics - Theory · Physics 2009-09-29 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna , Toni Mateos , Daniel Waldram

We investigate asymptotic symmetries in flat backgrounds of dimension higher than or equal to four. For spin two we provide the counterpart of the extended BMS transformations found by Campiglia and Laddha in four-dimensional Minkowski…

High Energy Physics - Theory · Physics 2021-02-03 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

In this paper, we extend our previous results on the gravitational interactions for massive spin 5/2 particles and spin 3 particles to massive spin 7/2, including its massless and partially massless limits. These results share some common…

High Energy Physics - Theory · Physics 2026-01-16 Yu. M. Zinoviev

We construct a candidate for the most general chiral higher spin theory with AdS$_3$ boundary conditions. In the Chern-Simons language, on the left it has the Drinfeld-Sokolov reduced form, but on the right all charges and chemical…

High Energy Physics - Theory · Physics 2017-06-14 Chethan Krishnan , Avinash Raju

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2,2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS_5 is provided. These are higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-07 M. Calixto

We construct, in D=3,4,6 and 10 space-time dimensions, supersymmetric Lagrangians for free massless higher spin fields which belong to reducible representations of the Poincare group.The fermionic part of these models consists of…

High Energy Physics - Theory · Physics 2018-04-04 Dmitri Sorokin , Mirian Tsulaia

In this work we discuss the cubic interactions for massless spin 3/2 gravitino with massive higher spin supermultiplets using three superblocks (2,3/2), (5/2,2) and (3,5/2) as the first non-trivial examples. We use gauge invariant formalism…

High Energy Physics - Theory · Physics 2024-11-01 YU. M. Zinoviev

We consider a supersymmetric extension of the algebra associated with three and four dimensional Anti de Sitter space. A representation of the supersymmetry operators in superspace is given. Supersymmetry invariant models are constructed…

High Energy Physics - Theory · Physics 2009-11-10 D. G. C. McKeon , C. Schubert

We determine the current exchange amplitudes for free totally symmetric tensor fields $\vf_{\mu_1 ... \mu_s}$ of mass $M$ in a $d$-dimensional $dS$ space, extending the results previously obtained for $s=2$ by other authors. Our…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia , J. Mourad , A. Sagnotti

We study actions for massive bosonic particles of higher spins by dimensionally reducing an action for massless particles. For the latter we take a model with a SO(N) extended local supersymmetry on the worldline, that is known to describe…

High Energy Physics - Theory · Physics 2015-06-22 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

The Lagrangian frame-like formulation of free higher spin symmetric bosonic AdS(d) fields is given within a manifestly sp(2) invariant framework. It is designed to deal with infinite multiplets of fields appearing as gauge connections of…

High Energy Physics - Theory · Physics 2008-11-07 K. B. Alkalaev

In this talk we will study the partial breaking of supersymmetry in flat and anti de Sitter space. We will see that partial breaking in flat space can be accomplished using either of two representations for the massive N=1 spin-3/2…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan A. Bagger , Richard Altendorfer

We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of…

High Energy Physics - Theory · Physics 2015-05-28 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger

We propose superfield equations in tensorial N-extended superspaces to describe the N=2,4,8 supersymmetric generalizations of free conformal higher spin theories. These can be obtained by quantizing a superparticle model in N-extended…

High Energy Physics - Theory · Physics 2015-05-28 Igor A. Bandos , Jose A. de Azcarraga , Carlos Meliveo

Thirty years ago Aragone and Deser showed that in three dimensions there exists a consistent model describing interaction for massless spin-2 and spin-5/2 fields. It was crucial that these fields lived in a flat Minkowski space and as a…

High Energy Physics - Theory · Physics 2015-06-22 Yu. M. Zinoviev

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
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