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Free mixed-symmetry arbitrary spin massive bosonic and fermionic fields propagating in AdS(5) are investigated. Using the light-cone formulation of relativistic dynamics we study bosonic and fermionic fields on an equal footing. Light-cone…

High Energy Physics - Theory · Physics 2009-11-10 R. R. Metsaev

The field equations for both generic bosonic and generic locally supersymmetric 2D dilatonic gravity theories in the absence of matter are written as free differential algebras. This constitutes a generalization of the gauge theoretic…

High Energy Physics - Theory · Physics 2009-10-31 J. M. Izquierdo

A simple realization of the conformal higher spin symmetry on the free $3d$ massless matter fields is given in terms of an auxiliary Fock module both in the flat and $AdS_3$ case. The duality between non-unitary field-theoretical…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman , M. A. Vasiliev

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

Massless fields of generic Young symmetry type in $AdS_d$ space are analyzed. It is demonstrated that in contrast to massless fields in Minkowski space whose physical degrees of freedom transform in irreps of $o(d-2)$ algebra, $AdS$…

High Energy Physics - Theory · Physics 2011-08-01 L. Brink , R. R. Metsaev , M. A. Vasiliev

In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying a hyperbolic wave equation on AdS…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Robert M. Wald

Several time dependent backgrounds, with perfect fluid matter, can be used to construct solutions of Einstein equations in the presence of a negative cosmological constant along with some matter sources. In this work we focus on the…

High Energy Physics - Theory · Physics 2017-03-01 Soumyabrata Chatterjee , Sudipto Paul Chowdhury , Sudipta Mukherji , Yogesh K. Srivastava

A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s \geq 1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral…

Mathematical Physics · Physics 2008-12-19 Juha Pohjanpelto , Stephen C. Anco

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

A coordinate-free action principle for the N=2 supersymmetric model of spin 0 and spin 1/2 matter fields interacting via Chern-Simons higher spin gauge fields in AdS3 is formulated in terms of star-product algebra of two oscillators.…

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

We pursue the construction of higher-spin theory in AdS_4 from CFT_3 of the O(N) vector model in terms of canonical collective fields. In null plane quantization an exact map is established between the two spaces. The coordinates of the…

High Energy Physics - Theory · Physics 2011-01-28 Robert de Mello Koch , Antal Jevicki , Kewang Jin , João P. Rodrigues

We describe the ``universal'' action for massless superfields of all superspins in N = 1, D = 4 anti-de Sitter superspace as a gauge theory of unconstrained superfields taking their values in the commutative algebra of analytic functions…

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

We review the recently developed general gauge invariant approach to Lagrangian construction for massive higher spin fields in Minkowski and AdS spaces of arbitrary dimension. Higher spin Lagrangian, describing the dynamics of the fields…

High Energy Physics - Theory · Physics 2007-12-11 I. L. Buchbinder , V. A. Krykhtin

Free field equations, with various spins, for space-time algebras with second-rank tensor (instead of usual vector) momentum are constructed. Similar algebras are appearing in superstring/M theories. The most attention is payed to the gauge…

High Energy Physics - Theory · Physics 2014-11-18 R. Manvelyan , R. Mkrtchyan

A generalized set of asymptotic conditions for higher spin gravity without cosmological constant in three spacetime dimensions is constructed. They include the most general temporal components of the gauge fields that manifestly preserve…

High Energy Physics - Theory · Physics 2015-06-11 Javier Matulich , Alfredo Perez , David Tempo , Ricardo Troncoso

We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , A. A. Reshetnyak

We review the component Lagrangian construction of the supersymmetric higher spin models in three dimensional (3D) Minkowski and anti de Sitter (AdS) spaces. The approach is based on the frame-like gauge invariant formulation, where massive…

High Energy Physics - Theory · Physics 2017-12-01 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

{A} Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher…

High Energy Physics - Theory · Physics 2020-01-28 Alexey Sharapov , Evgeny Skvortsov , Tung Tran

In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N=1 supermultiplets containing partially massless fields in…

High Energy Physics - Theory · Physics 2019-10-02 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

We construct the Lagrangian description of arbitrary integer higher spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Pashnev , M. Tsulaia