Flato-Fronsdal theorem for higher-order singletons

Basile, Thomas; Bekaert, Xavier; Boulanger, Nicolas

doi:10.1007/jhep11(2014)131

Cited by 46 publications

(89 citation statements)

References 33 publications

(64 reference statements)

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“…Our proposal is to take advantage of a large class of higher spin algebras available from the study of symmetries of (higher derivative) free CFT's of type k Φ(x) = 0 [12][13][14][15] and partially-massless fields in AdS 4 [15][16][17][18] and to construct some new algebras that are finitedimensional [19,20]. This leads to several observations: (i) there exists a new class of nonlinear conformal higher spin theories in three dimensions; (ii) there is a large class of such higher spin algebras available; (iii) there are finite-dimensional algebras among those, which is not the case for the conformal higher spin fields studied in [9,10].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

New conformal higher spin gravities in 3d

2020

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We propose a new class of conformal higher spin gravities in three dimensions, which extends the one by Pope and Townsend. The main new feature is that there are infinitely many examples of the new theories with a finite number of higher spin fields, much as in the massless case. The action has the Chern-Simons form for a higher spin extension of the conformal algebra. In general, the new theories contain Fradkin-Tseytlin fields with higher derivatives in the gauge transformations, which is reminiscent of partially-massless fields. A relation of the old and new theories to the parity anomaly is pointed out.

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Section: Introduction and Main Resultsmentioning

confidence: 99%

New conformal higher spin gravities in 3d

2020

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“…As in the type-A ℓ case, the spectrum of the higher-spin theory is obtained by generalizing the Flato-Fronsdal theorem [65] to the tensor product of two order-ℓ spin-1 2 singletons 8 In other words, we will consider the parity-invariant spin-1 2 singleton, the character of which reads…”

Section: Type-b ℓ Field Content and Charactersmentioning

confidence: 99%

Character integral representation of zeta function in AdSd+1. Part II. Application to partially-massless higher-spin gravities

Basile

Joung

Lal

et al. 2018

J. High Energ. Phys.

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Abstract:We compute the one-loop free energies of the type-A ℓ and type-B ℓ higherspin gravities in (d + 1)-dimensional anti-de Sitter (AdS d+1 ) spacetime. For large d and ℓ, these theories have a complicated field content, and hence it is difficult to compute their zeta functions using the usual methods. Applying the character integral representation of zeta function developed in the companion paper [arXiv:1805.05646] to these theories, we show how the computation of their zeta function can be shortened considerably. We find that the results previously obtained for the massless theories (ℓ = 1) generalize to their partially-massless counterparts (arbitrary ℓ) in arbitrary dimensions.

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“…For partially massless fields, dual CFTs were conjectured in [26,27,40,41]. It would also be interesting to investigate the reduction of a partially massless field on AdS d+2 on codimension-two defects.…”

Section: Jhep11(2016)024mentioning

confidence: 99%

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

Gwak

Kim

Rey

2016

J. High Energ. Phys.

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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.

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Flato-Fronsdal theorem for higher-order singletons

Cited by 46 publications

References 33 publications

New conformal higher spin gravities in 3d

New conformal higher spin gravities in 3d

Character integral representation of zeta function in AdSd+1. Part II. Application to partially-massless higher-spin gravities

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

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