AdS (super)projectors in three dimensions and partial masslessness

  title={AdS (super)projectors in three dimensions and partial masslessness},
  author={Daniel Hutchings and Sergei M. Kuzenko and Michael Ponds},
  journal={Journal of High Energy Physics},
Abstract We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS3. The projectors are constructed in terms of the quadratic Casimir operators of the isometry group SO(2, 2) of AdS3. Their poles are demonstrated to correspond to (partially) massless fields. As an application, we make use of the projectors to recast the conformal and topologically massive higher-spin actions in AdS3 into a manifestly… 
1 Citations
Higher spin analogs of linearized topologically massive gravity and linearized new massive gravity
We suggest a new spin-4 self-dual model (parity singlet) and a new spin-4 parity doublet inD = 2+1. They are of higher order in derivatives and are described by a totally symmetric rank-4 tensor


Spin projection operators in (A)dS and partial masslessness
Abstract We elaborate on the traceless and transverse spin projectors in four-dimensional de Sitter and anti-de Sitter spaces. The poles of these projectors are shown to correspond to partially
Off-shell massive N=1 supermultiplets in three dimensions
Abstract This paper is mainly concerned with the construction of new off-shell higher spin N = 1 supermultiplets in three spacetime dimensions. We elaborate on the gauge prepotentials and linearised
Partial masslessness of higher spins in (A)dS
Massive spin s ⩾ 3/2 fields can become partially massless in cosmological backgrounds. In the plane spanned by m^2 and Λ, there are lines where new gauge invariances permit intermediate sets of
Higher derivative couplings and massive supergravity in three dimensions
A bstractWe develop geometric superspace settings to construct arbitrary higher derivative couplings (including Rn terms) in three-dimensional supergravity theories with N≤3$$ \mathcal{N}\le 3 $$ by
Conformal higher spin theory
Abstract We construct gauge theory of interacting symmetric traceless tensors of all ranks s=0,1,2,3,… which generalizes Weyl-invariant dilaton gravity to the higher spin case, in any dimension d>2.
The off-shell (3/2,2) supermultiplets revisited ☆
Abstract Using superspace projection operators we provide a classification of (3/2,2) off-shell supermultiplets which are realized in terms of a real axial vector superfield, with or without
Topologically massive higher spin gauge theories
A bstractWe elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer n > 2 we introduce a conformal spin-n2$$ \frac{n}{2} $$ gauge field hn=hα1…αn$$
Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields
A bstractWe introduce prepotentials for fermionic higher-spin gauge fields in four space-time dimensions, generalizing earlier work on bosonic fields. To that end, we first develop tools for handling
Comformal higher spin in (2+1) dimensions
Abstract The conformal algebra in (2+1) dimensions allows an infinite-dimensional extension. We show that the Chern-Simons action for this algebra yields a generalisation of conformal gravity which
On quantum corrections in higher-spin theory in flat space
A bstractWe consider an interacting theory of an infinite tower of massless higher-spin fields in flat space with cubic vertices and their coupling constants found previously by Metsaev. We compute