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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

An action describing the dynamics of an infinite collection of massless integer spin fields with spin s=0,1,2,3, ...$\infty$ corresponding to totally symmetric Young tableaux representations of Poincare and anti-de Sitter groups is…

High Energy Physics - Theory · Physics 2007-05-23 Arkady Yu. Segal

Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

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

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

We give a simple general extension to all free bosonic and fermionic massless gauge fields of a recent proof that spin 2 is duality invariant in flat space. We also discuss its validity in (A)dS backgrounds and the relevance of…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , D. Seminara

We construct Lorentz-invariant massless/massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we…

High Energy Physics - Theory · Physics 2019-04-24 Atsushi Naruko , Rampei Kimura , Daisuke Yamauchi

Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N=2 Poincare superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are…

High Energy Physics - Theory · Physics 2022-01-05 R. R. Metsaev

Lagrangians for massive, unconstrained, higher-spin bosons and fermions are proposed. The idea is to modify the geometric, gauge invariant Lagrangians describing the corresponding massless theories by the addition of suitable quadratic…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia

Cubic interactions of higher-spin gauge fields in (A)dS are studied in the metric-like approach. Making use of the traceless and transverse constraints together with the ambient-space formalism, all consistent parity-invariant cubic…

High Energy Physics - Theory · Physics 2015-05-30 E. Joung , M. Taronna

We analyse the couplings of a partially massless spin-2 field with a doublet of massless, real spin-3/2 fields. In the flat limit, this spectrum coincides with the spectrum of ${\cal N}=2$ pure supergravity around anti-de Sitter spacetime…

High Energy Physics - Theory · Physics 2025-01-13 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain…

High Energy Physics - Theory · Physics 2009-11-10 W. Ruehl

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian…

High Energy Physics - Theory · Physics 2009-06-19 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

Dynamical localization of non-Abelian gauge fields in non-compact flat $D$ dimensions is worked out. The localization takes place via a field-dependent gauge kinetic term when a field condenses in a finite region of spacetime. Such a…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

We elaborate on the recently proposed Lagrangian parent formulation. In particular, we identify a natural choice of the allowed field configurations ensuring the equivalence of the parent and the starting point Lagrangians. We also analyze…

High Energy Physics - Theory · Physics 2013-01-28 Maxim Grigoriev

The symmetry algebra of massless fields living on the 3-dimensional conformal boundary of AdS(4) is shown to be isomorphic to 3d conformal higher spin algebra (AdS(4) higher spin algebra). A simple realization of this algebra on the free…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Lechtenfeld , Boris Zupnik

We derive non-linear commutator HS symmetry algebra, which encode unitary irreducible representations of AdS group subject to Young tableaux $Y(s_1,...,s_k)$ with $k\geq 2$ rows on $d$-dimensional anti-de-Sitter space. Auxiliary…

High Energy Physics - Theory · Physics 2012-04-02 Cestmir Burdik , Alexander Reshetnyak

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting and then the ($\g$-)trace constraints on fields…

High Energy Physics - Theory · Physics 2009-05-26 Andrea Campoleoni

We determine the boundary terms of the free higher-spin action which reproduce the AdS Fronsdal equations in an AdS manifold with a finite distance boundary. The boundary terms are further constrained by the gauge invariance of the total…

High Energy Physics - Theory · Physics 2015-06-03 Euihun Joung , Jihad Mourad