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We investigate in which sense, at the linearized level, one can extend the 3D topologically massive gravity theory beyond three dimensions. We show that, for each k=1,2,3... a free topologically massive gauge theory in 4k-1 dimensions can…

High Energy Physics - Theory · Physics 2012-10-17 Eric A. Bergshoeff , Marija Kovacevic , Jan Rosseel , Yihao Yin

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive…

High Energy Physics - Theory · Physics 2014-11-20 Eric Bergshoeff , Olaf Hohm , Paul Townsend

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

The question of gauge-covariance in the non-Abelian gauge-field formulation of two space-dimensional systems with spin-orbit coupling relevant to spintronics is investigated. Although, these are generally gauge-fixed models, it is found…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 M. S. Shikakhwa , S. Turgut , N. K. pak

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

This thesis is devoted to the construction of theories describing the consistent propagation of (super)conformal higher-spin fields on curved three- and four-dimensional (super)spaces. In the first half of this thesis we systematically…

High Energy Physics - Theory · Physics 2022-01-26 Michael Ponds

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

Massive higher-spin fields are difficult to introduce consistent interactions, including electromagnetic and gravitational ones which are clearly exhibited by (non-elementary) higher-spin particles in nature. We construct an action that…

High Energy Physics - Theory · Physics 2025-01-28 William Delplanque , Evgeny Skvortsov

Interactions of gauge-invariant systems are severely constrained by several consistency requirements. One is the preservation of the number of gauge symmetries, another is causal propagation. For lower-spin fields, the emphasis is usually…

High Energy Physics - Theory · Physics 2013-09-11 Marc Henneaux , Rakibur Rahman

We identify an unusual new gauge-gravity relation: the one-loop effective action for a massive spinor in 2n dimensional AdS space is expressed in terms of precisely the same function [a certain multiple gamma function] as the one-loop…

High Energy Physics - Theory · Physics 2010-04-23 Gokce Basar , Gerald V. Dunne

We review the superfield formulation of $\mathcal{N}=2$ higher-spin supergravity theory in harmonic superspace. The analysis of both the hypermultiplet higher-spin supersymmetries and conformal supersymmetries is performed. The analytic…

High Energy Physics - Theory · Physics 2025-03-05 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

The spectrum of Prokushkin--Vasiliev Theory is puzzling in light of the Gaberdiel--Gopakumar conjecture because it generically contains an additional sector besides higher-spin gauge and scalar fields. We find the unique truncation of the…

High Energy Physics - Theory · Physics 2016-01-20 Pan Kessel , Gustavo Lucena Gomez , E. D. Skvortsov , Massimo Taronna

We have studied free higher spin gauge fields through an investigation of their Hamiltonian dynamics. Over a flat space-time, their Hamiltonian constraints were identified and solved through the introduction of prepotentials, enjoying both…

Mathematical Physics · Physics 2017-10-04 Amaury Leonard

Gauge/Gravity duality as a theory of matter needs a systematic way to characterise a system. We suggest a `dimensional lifting' of the least irrelevant interaction to the bulk theory. As an example, we consider the spin-orbit interaction,…

High Energy Physics - Theory · Physics 2016-06-01 Yunseok Seo , Keun-Young Kim , Kyung Kiu Kim , Sang-Jin Sin

The conical defect solutions in higher-spin gauge theories on 2+1 dimensional space-times with AdS-asymptotics are conjectured to correspond to certain primary fields in the dual conformal field theory on the boundary. In this note we prove…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Campoleoni , Stefan Fredenhagen

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and as such, it has been successfully applied to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , Eugeniu M. Popescu

We use light-cone gauge formalism to study interacting massive and massless continuous-spin fields and finite component arbitrary spin fields propagating in the flat space. Cubic interaction vertices for such fields are considered. We…

High Energy Physics - Theory · Physics 2018-12-26 R. R. Metsaev

We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that…

High Energy Physics - Theory · Physics 2024-06-11 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

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 revisit the problem of constructing consistent interactions between a massive spin-3/2 field and a partially massless graviton in four-dimensional (A)dS spacetime. We use the Stueckelberg formulation of the action principle for these…

High Energy Physics - Theory · Physics 2023-10-10 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée