# AdS (super)projectors in three dimensions and partial masslessness

@article{Hutchings2021AdSI,
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},
year={2021}
}
• Published 26 July 2021
• Mathematics
• 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
• Physics
Physical Review D
• 2021
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

## References

SHOWING 1-10 OF 57 REFERENCES
Spin projection operators in (A)dS and partial masslessness
• Physics, Mathematics
Physics Letters B
• 2020
Higher derivative couplings and massive supergravity in three dimensions
• Mathematics, Physics
• 2015
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
Topologically massive higher spin gauge theories
• Mathematics
Journal of High Energy Physics
• 2018
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
• Physics
Journal of High Energy Physics
• 2018
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
On quantum corrections in higher-spin theory in flat space
• Physics
• 2016
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