Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)dS_d$

By M.A.Vasiliev. 2003

553 citations recorded by the source corpus.

Nonlinear ﬁeld equations for totally symmetric bosonic massless ﬁelds of all spins in any dimension are presented.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/219c0ac79da5dd32603395074808a1f43ff61b23

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Citations in the corpus

Tensionless string spectra on AdS3 (2018, methodology): “Using these tools one can, for instance, show that at special points in the moduli space, there is an enhanced global higher spin symmetry [1–3] (much bigger than the more familiar Vasiliev higher spin symmetry [4] also seen in higher AdS spacetimes) which has been dubbed the Higher Spin”
Higher spin gravity with matter in AdS3 and its CFT dual (2011, background): “In this section, we discuss the formulation of the three dimensional Vasiliev system as originally written in [8], which amounts to an extension of the equations (2.”
An AdS_3 Dual for Minimal Model CFTs (2010, background): “An interesting via media is afforded by the so-called higher spin theories in AdS spacetimes [1].”
On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory (2008, background): “Thanks to Vasiliev’s oscillator constructions [20, 21] it has been established that fully nonlinear nonabelian higher-spin gauge field equations exist in arbitrary dimensions in the case of symmetric rank-s tensor gauge fields.”
New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators (2012, methodology): “On the other hand, it is unclear how this method should be applied to theories like the Vasiliev theory [21], where higher derivative terms are not suppressed by any parameter.”
On Higher Spin Gauge Theory and the Critical O(N) Model (2011, methodology): “(7)In this paper we have restricted our discussion to the type A minimal bosonic theory, in which the bulk scalar is parity even [4, 6].”
Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism (2008, background): “The theory of higher-spin gauge fields has witnessed two major achievements with Vasiliev’s formulation of fully nonlinear field equations in four space-time dimensions [1] and more recently in D space-time dimensions [2].”
Symmetries of holographic minimal models (2011, background): “In four bulk dimensions, Klebanov and Polyakov [4] conjectured a duality between Vasiliev’s higher spin theory [5, 6] and the O(N) vector model at its two isolated critical points.”
Large \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 4 holography (2013, unknown): “Secondly, the AdS bulk description is not in terms of string theory (or supergravity), but rather in terms of a Vasiliev system of equations [8] for a tower of massless higher spin gauge fields, thus having far fewer degrees of freedom than a string theory.”
Elements of Vasiliev theory (2014, background): “It turns out this is what one actually should do to describe irreducible nonlinear equations for HS bosonic fields for d = 3 [110] and arbitrary d [39] systems.”