Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations

We analyze free conformal higher spin actions and the corresponding wave operators in arbitrary even dimensions and backgrounds. We show that the wave operators do not factorize in general, and identify the Weyl tensor and its derivatives as the obstruction to factorization. We give a manifestly factorized form for them on (A)dS backgrounds for arbitrary spin and on Einstein backgrounds for spin 2. We are also able to fix the conformal wave operator in d = 4 for s = 3 up to linear order in the Riemann tensor on generic Bach-flat backgrounds.

Section: Jhep06(2014)066supporting

confidence: 78%

On conformal higher spin wave operators

Nutma

Taronna

2014

“…Rather, it describes so-called partially-massless spin-two fields [31,32], as we shall demonstrate in the following. The corresponding one form is given by 17) where the fields φ a , φ,φ a andφ take values in bs, carrying the bi-fundamental representations of su(N − k) and su(k), as well as the representation of u(1).…”

Section: Jhep04(2016)055mentioning

confidence: 99%

“…All extrema except the k = 0 vacuum spontaneously break the color symmetry U(N ) down to U(N − k) × U(k). When this symmetry breaking takes place, the corresponding 2 k (N − k) spin-two Goldstone modes are combined with the gauge fields to become the partiallymassless spin-two fields [31,32]: the latter spectrum does not have any propagating degrees of freedom (DoF) similarly to the massless ones. Instead in AdS case, they describe 'four' boundary DoF which originate from the boundary modes of the colored massless spin-two and spin-one fields.…”

Section: Jhep04(2016)055mentioning

confidence: 99%

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

Gwak

Joung

Mkrtchyan

et al. 2016

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.

“…5 Arbitrary spin partial-massless fields in AdS4 were first studied in refs. [26,27]. Generalization of results in the latter references to AdS d+1 , d ≥ 3, may be found in refs.…”

Section: Ordinary-derivative Gauge Invariant Lagrangian Of Conformal mentioning

confidence: 57%

Long, partial-short, and special conformal fields

Metsaev

2016

In the framework of metric-like approach, totally symmetric arbitrary spin bosonic conformal fields propagating in flat space-time are studied. Depending on the values of conformal dimension, spin, and dimension of space-time, we classify all conformal field as long, partial-short, short, and special conformal fields. An ordinary-derivative (second-derivative) Lagrangian formulation for such conformal fields is obtained. The ordinary-derivative Lagrangian formulation is realized by using double-traceless gauge fields, Stueckelberg fields, and auxiliary fields. Gauge-fixed Lagrangian invariant under global BRST transformations is obtained. The gauge-fixed BRST Lagrangian is used for the computation of partition functions for all conformal fields. Using the result for the partition functions, numbers of propagating D.o.F for the conformal fields are also found.