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We review the interactions of massive fields of arbitrary integer spins with the constant electromagnetic field and symmetrical Einstein space in the gauge invariant framework. The problem of obtaining the gauge-invariant Lagrangians of…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Klishevich

In this work we presented a number of explicit examples for the cubic vertices describing an interaction of massless spin-5/2 field with massive boson and fermion including all hypertransformations necessary for the vertices to be gauge…

High Energy Physics - Theory · Physics 2023-10-27 Yu. M. Zinoviev

Generating functions encoding cubic interactions of (partially-)massless higher-spin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved…

High Energy Physics - Theory · Physics 2015-06-12 Euihun Joung , Luca Lopez , Massimo Taronna

Clarifying the locality properties of higher-spin gravity is a pressing task, but notoriously difficult due to the absence of a weakly-coupled flat regime. The simplest non-trivial case where this question can be addressed is the quartic…

High Energy Physics - Theory · Physics 2016-01-20 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

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

Using Noether's procedure we present a complete solution for the trilinear interactions of arbitrary spins $s_{1},s_{2}, s_{3}$ in a flat background, and discuss the possibility to enlarge this construction to higher order interactions in…

High Energy Physics - Theory · Physics 2012-01-18 Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

If the graviton is the only high spin particle present during inflation, then the form of the observable tensor three-point function is fixed by de Sitter symmetry at leading order in slow-roll, regardless of the theory, to be a linear…

High Energy Physics - Theory · Physics 2019-10-30 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

Can the holographic principle be extended beyond the well known AdS/CFT correspondence? During the last couple of years there has been a substantial amount of research trying to find answers for this question. In this work we provide a…

High Energy Physics - Theory · Physics 2018-01-30 Stefan Prohazka , Max Riegler

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

We give a brief introduction into the gauge invariant formulation of irreducible massive bosonic higher spin fields. We discuss both free Lagrangians and the ones which include cubic interactions. We demonstrate an application of these…

High Energy Physics - Theory · Physics 2025-12-29 Julian Lang , Mirian Tsulaia

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

All independent interaction vertices involving massless (Fang--Fronsdal) fermions in three dimensions are classified, completing the classification of interactions of massless fields of any spin. Similarly to the bosonic case, we get no…

High Energy Physics - Theory · Physics 2024-04-02 Stefan Fredenhagen , Filipp Lausch , Karapet Mkrtchyan

We review the application of BRST and BRST-BV approaches to construct the generic off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher integer spin fields (as the candidates for massive…

High Energy Physics - Theory · Physics 2024-10-25 Alexander A. Reshetnyak

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

We consider the massive integer higher spin fields coupled to an external constant electromagnetic field in flat space of arbitrary dimension and find a gauge invariant quartic interaction vertex which is quadratic in dynamical higher spin…

High Energy Physics - Theory · Physics 2015-10-28 I. L. Buchbinder , V. A. Krykhtin

These notes comprise a part of the introductory lectures on Higher Spin Theory presented in the Eighth Modave Summer School in Mathematical Physics. We construct free higher-spin theories and turn on interactions to find that…

High Energy Physics - Theory · Physics 2013-07-19 Rakibur Rahman

In this paper, using a frame-like gauge invariant formulation of the massive higher spin bosons and fermions, we develop a direct construction of the completely off-shell cubic vertices describing an interaction of the massless gravitino…

High Energy Physics - Theory · Physics 2023-09-26 Yu. M. Zinoviev

In the framework of light-cone gauge approach, bosonic and fermionic mixed-symmetry continuous-spin fields in AdS space and flat space are considered. For such fields, the light-cone gauge actions are found. Realization of relativistic…

High Energy Physics - Theory · Physics 2022-04-29 R. R. Metsaev

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

Massive arbitrary spin fields in AdS(3) spacetime are discussed in a framework of light-cone gauge formulation. We also consider compactification of AdS spacetime on manifold which is warped product of AdS space and sphere. Mass spectra of…

High Energy Physics - Theory · Physics 2014-11-18 R. R. Metsaev
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