Nonlinear equations for symmetric massless higher spin fields in (A)dSd

By Mikhail A. Vasiliev. 2003

517 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/0f6a59d2c1fa3eeb41b46e65b1cae0bbc908984d

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Citations in the corpus

Higher spin gauge theory and holography: the three-point functions (2009, unknown): “of Vasiliev’s equation in AdSd+1 for general d in the Sp(2)-invariant formalism [ 33 , 34] (see also [27]).”
The higher spin/vector model duality (2012, background): “Vasiliev’s system [33–35] is a set of classical nonlinear gauge invariant equations for an infinite tower of higher spin gauge fields in AdS4.”
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.”
Asymptotically flat spacetimes in three-dimensional higher spin gravity (2013, background): “Higher spin gravity [1–3] has recently motivated a flurry of activity.”
Elements of Vasiliev theory (2014, background): “A very fruitful direction initiated by Fradkin and Vasiliev and then largely extended by Vasiliev that eventually foster the appearance of complete nonlinear system for higherspin fields, [34–39], is the so called unfolded approach, [40, 41], to dynamical systems.”
How higher-spin gravity surpasses the spin-two barrier (2010, methodology): “The Fradkin–Vasiliev construction was the starting point of dramatic progresses leading recently to fully nonlinear field equations for higher-spin gauge fields in arbitrary dimension [8].”
On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, background): “A landmark has been reached in [10–14] with the understanding that, the anti de Sitter background can accommodate consistent self interactions of massless Higher Spin fields.”
Partition functions of holographic minimal models (2011, background): “Klebanov and Polyakov [3] (see also [4–6] for earlier work) conjectured that the free O(N) vector model in d = 3 is dual to Vasiliev’s theory of higher spin gravity in AdS4 [ 7 ] (see for example [8–11] for reviews), and that the interacting vector model at its critical point is dual to the same bul”
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.”
Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory (2012, background): “The full nonlinear Vasiliev equations is a subject of several reviews, [12,13,24,30], see also original works [9–14].”
Holography in 4D (super) higher spin theories and a test via cubic scalar couplings (2003, background): “The massless HS theories have been constructed by Vasiliev in D = 4 [11, 12] and in any D in the case of no supersymmetry [ 13 ].”
Symmetries of holographic minimal models (2011, background): “Vasiliev’s higher spin theory [ 5 , 6] and the O(N) vector model at its two isolated critical points.”
Effective action in a higher-spin background (2010, background): “32) for d > 2 corresponds to the enveloping algebra of so(d, 2) , that is the higherspin algebra identified by Eastwood and Vasiliev [18, 34] (for d = 2, one gets two copies of the W∞ algebra with zero central charge [35]).”