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Totally symmetric arbitrary spin massless and massive free fields in flat and AdS spaces and conformal fields in flat space are studied. Extended gauge invariant hamiltonian action for such fields is obtained. The action is constructed out…

High Energy Physics - Theory · Physics 2016-03-16 R. R. Metsaev

Till now most of the results on interaction vertices for massless higher spin fields were obtained in a metric-like formalism using completely symmetric (spin-)tensors. In this, the Lagrangians turn out to be very complicated and the main…

High Energy Physics - Theory · Physics 2014-11-21 Yu. M. Zinoviev

We revisit the problem of interactions of higher-spin fields in flat space. We argue that all no-go theorems can be avoided by the light-cone approach, which results in more interaction vertices as compared to the usual covariant…

High Energy Physics - Theory · Physics 2017-03-08 Dmitry Ponomarev , E. D. Skvortsov

We derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and…

High Energy Physics - Theory · Physics 2020-02-25 Y. S. Akshay , Sudarshan Ananth

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

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

The mutual compatibility of the dynamical equations and constraints describing a massive particle of arbitrary spin, though essential for consistency, is generically lost in the presence of interactions. The conventional Lagrangian approach…

High Energy Physics - Theory · Physics 2015-06-16 Ignacio Cortese , Rakibur Rahman , M. Sivakumar

Positive energy ray representations of the Poincar\'e group are naturally subdivided into three classes according to their mass and spin content: m>0, m=0 finite helicity and m=0 infinite helicity. For a long time the localization…

General Physics · Physics 2017-01-12 Bert Schroer

The frame-like covariant Lagrangian formulation of bosonic and fermionic mixed-symmetry type higher spin massless fields propagating on the AdS(d) background is proposed. Higher spin fields are described in terms of gauge p-forms which…

High Energy Physics - Theory · Physics 2010-04-05 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev

Our main proposition is that field equations for all spins can be obtained from Casimir eigenvalue equations for Poincare group. We have already confirm that statement for massive scalar, spinor and vector fields in Ref.[1]. In the present…

High Energy Physics - Theory · Physics 2025-05-16 B. Sazdović

Generalised Fierz-Pauli mass terms allow to describe massive higher-spin fields on flat background by means of simple quadratic deformations of the corresponding geometric, massless Lagrangians. In this framework there is no need for…

High Energy Physics - Theory · Physics 2008-11-26 Dario Francia

We analyse the constraints imposed by gauge invariance on higher-order interactions between massless bosonic fields in three-dimensional higher-spin gravities. We show that vertices of quartic and higher order that are independent of the…

High Energy Physics - Theory · Physics 2019-10-02 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

We study the interaction of massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space and construct the corresponding cubic vertices. Construction is based on generalization of Fradkin-Vasiliev…

High Energy Physics - Theory · Physics 2015-06-19 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We study Higher-Spin Gravity in 4-dimensional (Anti-)de Sitter space, at leading order in the interactions (cubic vertices), in the AdS lightcone formalism developed by Metsaev. Using the vertices' chiral structure, we extend the formalism…

High Energy Physics - Theory · Physics 2026-03-10 Jin Kozaki , Julian Lang , Yasha Neiman

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

We analyze quartic gauge-invariant interactions of massless higher spin fields by using vertex operators constructed in our previous works and computing their four-point amplitudes in superstring theory. The kinematic part of the quartic…

High Energy Physics - Theory · Physics 2011-02-18 Dimitri Polyakov

We solve the problem of constructing consistent first-order cross-interactions between spin-2 and spin-3 massless fields in flat spacetime of arbitrary dimension n > 3 and in such a way that the deformed gauge algebra is non-Abelian. No…

High Energy Physics - Theory · Physics 2009-11-11 Nicolas Boulanger , Serge Leclercq

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

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

High Energy Physics - Theory · Physics 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

Totally symmetric arbitrary spin fields in AdS space, conformal fields, conformal currents, and shadow fields in flat space are studied. Light-cone formulation for such fields, currents, and shadows is obtained. Use of the Poincare…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev