Rainbow vacua of colored higher-spin (A)dS3 gravity

Self Cite

We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings among different particles of various spins. The resulting vertices do not involve traces of the fields and in this sense are simpler than their Fronsdal counterparts. We propose an extension of both the free theory and of its cubic deformation to a more general class of partially reducible systems, that one can obtain from the original theory upon imposing trace constraints of various orders. The key to our results is a version of the Noether procedure allowing to systematically account for the deformations of the transversality conditions to be imposed on the gauge parameters at the free level.

Section: Jhep04(2017)068mentioning

confidence: 99%

Cubic interactions of Maxwell-like higher spins

Francia

Monaco

Mkrtchyan

2017

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“…In particular, all higherspin theories formulated in [19][20][21] can be straightforwardly color-decorated, whose first steps were conceived in [22][23][24][25][26]. In the companion paper [27], we study a three-dimensional color-decorated higher-spin gravity.…”

Section: Jhep04(2016)055mentioning

confidence: 99%

“…Though the Lagrangian (6.22) has a rather non-standard form involving cross term between φ andφ together with an insertion of Z k , it can always be diagonalized with the help of the Hermiticity property (6.19). Therefore, for the spectrum analysis, it will suffice to consider S BS [φ, φ a ] taking the following expression: 27) with the AdS dreibein and spin connection (e a , ω ab ). We first note that this action admits the gauge symmetries with parameters (ε, ε a ), 28) which come from the Chern-Simons gauge symmetries.…”

Section: Jhep04(2016)055mentioning

confidence: 99%

Rainbow valley of colored (anti) de Sitter gravity in three dimensions

Gwak

Joung

Mkrtchyan

et al. 2016

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We propose a theory of three-dimensional (anti) de Sitter gravity carrying Chan-Paton color charges. We define the theory by Chern-Simons formulation with the gauge algebra (gl 2 ⊕ gl 2 ) ⊗ u(N ), obtaining a color-decorated version of interacting spinone and spin-two fields. We also describe the theory in metric formulation and show that, among N 2 massless spin-two fields, only the singlet one plays the role of metric graviton whereas the rest behave as colored spinning matter that strongly interacts at large N . Remarkably, these colored spinning matter acts as Higgs field and generates a non-trivial potential of staircase shape. At each extremum labelled by k = 0, . . . , [ N −1 2 ], the u(N ) color gauge symmetry is spontaneously broken down to u(N − k) ⊕ u(k) and provides different (A)dS backgrounds with the cosmological constants N N −2k 2 Λ. When this symmetry breaking takes place, the spin-two Goldstone modes combine with (or are eaten by) the spin-one gauge fields to become partially-massless spin-two fields. We discuss various aspects of this theory and highlight physical implications.

“…We worked out details of the dimensional reduction method from AdS d+k to AdS d in appendix C. It is the AdS generalization of the non-abelian Kaluza-Klein compactification [29]. This generalization also provides a geometric framework for the colored higher spin theory proposed in [30][31][32][33][34][35][36].…”

Section: Jhep11(2016)024mentioning

confidence: 99%

Massless and massive higher spins from anti-de Sitter space waveguide

Gwak

Kim

Rey

2016

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Understanding Higgs mechanism for higher-spin gauge fields is an outstanding open problem. We investigate this problem in the context of Kaluza-Klein compactification. Starting from a free massless higher-spin field in (d + 2)-dimensional anti-de Sitter space and compactifying over a finite angular wedge, we obtain an infinite tower of heavy, light and massless higher-spin fields in (d + 1)-dimensional anti-de Sitter space. All massive higher-spin fields are described gauge invariantly in terms of Stueckelberg fields. The spectrum depends on the boundary conditions imposed at both ends of the wedges. We observed that higher-derivative boundary condition is inevitable for spin greater than three. For some higher-derivative boundary conditions, equivalently, spectrum-dependent boundary conditions, we get a non-unitary representation of partially-massless higher-spin fields of varying depth. We present intuitive picture which higher-derivative boundary conditions yield non-unitary system in terms of boundary action. We argue that isotropic Lifshitz interfaces in O(N ) Heisenberg magnet or O(N ) Gross-Neveu model provides the holographic dual conformal field theory and propose experimental test of (inverse) Higgs mechanism for massive and partially massless higher-spin fields.