Consistent equations for interacting gauge fields of all spins in 3+1 dimensions
TL;DR: In this paper, consistent equations of motion of interacting gauge fields of all spins in 3+1 dimensions are formulated in a closed form, which are explicitly general coordinate invariant, possess all necessary higher spin gauge symmetries and reduce to the usual equations of free massless fields at the linearized level.
About: This article is published in Physics Letters B.The article was published on 1990-07-05. It has received 754 citations till now. The article focuses on the topics: Introduction to gauge theory & Inhomogeneous electromagnetic wave equation.
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TL;DR: A comprehensive survey of recent work on modified theories of gravity and their cosmological consequences can be found in this article, where the authors provide a reference tool for researchers and students in cosmology and gravitational physics, as well as a selfcontained, comprehensive and up-to-date introduction to the subject as a whole.
3,674 citations
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...The simplest scenario that one could consider in this context is the addition of an extra scalar field, but one might also choose to consider extra vectors, tensors, or even higher rank fields [511, 1247]....
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TL;DR: In this article, nonlinear field equations for totally symmetric bosonic massless fields of all spins in any dimension are presented, and a nonlinear nonlinear model of the field equations is proposed.
756 citations
TL;DR: A survey of massless HS theories with 32 supersymmetries in D =4,5,7 (where the 7D results are new) is given and corresponding composite operators are discussed in this paper.
739 citations
TL;DR: In this paper, the emergence of higher-spin fields coupled to three-dimensional Einstein gravity with a negative cosmological constant is discussed, where the authors focus on models involving a finite number of bosonic higher spin fields and especially on the example provided by a spin-3 field to gravity.
Abstract: We discuss the emergence of $ \mathcal{W} \mbox{-algebras}$
as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) × SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical $ {\mathcal{W}_3}\mbox{-algebra} $
with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.
627 citations
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...9 In this respect they could provide more realistic toy models for comparisons with the Vasiliev theory [15, 16], that describes an infinite tower of interacting higher-spin gauge fields in AdS backgrounds with D ≥ 4....
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...However, this is not the unique example of consistent interactions for higher-spin gauge fields: a long-term effort by Vasiliev provided an interacting theory for an infinite tower of massless higher-spin fields in constant curvature backgrounds of any dimension [15, 16]....
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TL;DR: In this paper, a review of recent progress in the construction of black holes in three-dimensional higher spin gravity theories is presented, starting from spin-3 gravity and working their way toward the theory of an infinite tower of higher spins coupled to matter.
Abstract: We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we show how to harness higher spin gauge invariance to consistently generalize familiar notions of black holes. We review the construction of black holes with conserved higher spin charges and the computation of their partition functions to leading asymptotic order. In view of the anti-de Sitter/conformal field theory (CFT) correspondence as applied to certain vector-like conformal field theories with extended conformal symmetry, we successfully compare to CFT calculations in a generalized Cardy regime. A brief recollection of pertinent aspects of ordinary gravity is also given.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.
572 citations
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...A partial list of the original papers is [15,16,17,18,19], see also the reviews [20,21], which contain more comprehensive lists of references....
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References
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TL;DR: In this paper, the Fierz-Pauli Lagrangian for massive particles with arbitrary integral spin $s, first obtained by Hagen and Singh, is examined in the limit of vanishing mass.
Abstract: The Fierz-Pauli Lagrangian for massive particles with arbitrary integral spin $s$, first obtained by Hagen and Singh, is examined in the limit of vanishing mass. Unexpectedly, a considerable simplification occurs. The potential $h$ is a symmetric tensor of rank $s$; the "trace" ${h}^{\ensuremath{'}}$, obtained by contraction of a pair of indices against the flat-space metric, does not vanish but the trace ${h}^{\ensuremath{'}\ensuremath{'}}$ of ${h}^{\ensuremath{'}}$ does. The wave equation admits a gauge group, and this implies conditions on the source. The divergence of the source need not vanish, only the traceless projection of the divergence must be zero; this is a major departure from the usual assumption and may bear on the question of the existence of a physically interesting source for fields with spin \ensuremath{\ge}3. This weaker condition on the source is sufficient to guarantee that only $\mathrm{helicities}\ifmmode\pm\else\textpm\fi{}s$ are transmitted between sources. A generalized Gupta program is proposed, that is, a search for a scheme for generating a theory of interacting, massless particles, consistent to all orders in the coupling constant.
864 citations
TL;DR: In this paper, a generalization of classical mechanics is presented, where dynamical variables (functions on the phase space) are assumed to be elements of an algebra with anticommuting generators (the Grassmann algebra).
717 citations
TL;DR: In this article, it was shown that the gravitational interaction of massless higher-spin fields (s > 2) does exist at least in the first nontrivial order, despite a widespread belief.
574 citations
TL;DR: A cubic interaction of all massless higher-spin fields with s ⩾ 1 is constructed, based on the extended higher spin superalgebras suggested previously by one of us.
479 citations