Nonlinear higher spin theories in various dimensions

By X. Bekaert, C. Iazeolla, S. Cnockaert, Vasiliev. 2005

583 citations recorded by the source corpus.

In this article, an introduction to the nonlinear equations for completely symmetric bosonic higher spin gauge fields in anti de Sitter space of any dimension is provided. To make the presentation self-contained we explain in detail some related issues such as the MacDowell-Mansouri-Stelle-West formulation of gravity, unfolded formulation of dynamical systems in terms of free differential algebras and Young tableaux symmetry properties in terms of Howe dual algebras.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2a95ee9ddeb5a02b9436422e08e905be425fe3b7

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Citations in the corpus

Static BPS black hole in 4d higher-spin gauge theory (2009, unknown): “38 98 v2 [ he p- th ]”
Geometric formulation for partially massless fields (2006, methodology): “ this action still describes a massless spin two ﬁeld at the linearized level although diﬀers from the pure Einstein action with the cosmological term at the nonlinear level (for more detail see also [31]). A covariant generalization of the MacDowell-Mansouri approach proposed by Stelle and West [32”
Holography from Conformal Field Theory (2009, background): “(11)In AdS there are consistent interacting theories of higher spin fields (see [20] for a recent review).”
Massive Gravity (2014, background): “This idea has also been explored; see for instance [466, 52] for further details.”
Cubic interactions of massless higher spins in (A)dS: Metric-like approach (2011, background): “ut the key role of on-shell expressions (the part of vertex that 1 For some recent reviews of HS gauge theories, see e.g. the proceeding [1] (which includes contributions [2–6]) and [7–9]. 2 See e.g. [5, 12] for some reviews of Vasiliev’s equations, and [13–18] for a recent proposal on the action pr”
Conical defects in higher spin theories (2011, background): “On the other hand, one can write down (1)See [2] for a review and a comprehensive list of references.”
Partition functions of higher spin black holes and their CFT duals (2011, background): “Introduction Higher spin theories of gravity, as developed by Vasiliev and collaborators, are fascinating theories that lie, in some sense, halfway between ordinary gravity and string theory; see [1,2] for reviews.”
An AdS_3 Dual for Minimal Model CFTs (2010, background): “resting viamediais aﬀorded by the so-called higher spin theories in AdS spacetimes [1]. These are theories containing (generically) an inﬁnite number of massless interacting ﬁelds with spin s ≥2 (see [2] for an introduction). It has been suggested by several people [3, 4, 5, 6] that these theories m”
Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism (2008, background): “For a review and further developments, see [3, 4].”
Free partition functions and an averaged holographic duality (2020, result): “In Section 2 we review background material on partition functions with U(1)c × U(1)c (2)It differs from Vasiliev’s theory of higher spin gravity [31], and there is no obvious relationship between our results and previous examples of higher spin AdS/CFT [32–35].”
Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory (2012, background): “ form a Lie subalgebra under the ⋆-commutator, read TAB = − i 4 {YA,YB}⋆ , [TAB,YC] = YAǫBC +YBǫAC . (2.4) Linearized equations. The full nonlinear Vasiliev equations is a subject of several reviews, [12,13,28,29], see also original works [9–14]. Here we need the linearized equations only, a part of”