# A note on rectangular partially massless fields

@article{Basile2017ANO, title={A note on rectangular partially massless fields}, author={Thomas Basile}, journal={arXiv: High Energy Physics - Theory}, year={2017} }

We study a class of non-unitary so(2,d) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin singletons of higher order. It is shown that this class of so(2,d) modules obeys of natural generalisation of a couple of defining properties of unitary higher-spin singletons. In particular, we find out that upon restriction to the subalgebra so(2,d-1), these representations branch onto a sum of modules…

## 4 Citations

### Looking for partially-massless gravity

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant…

### Continuous-spin mixed-symmetry fields in AdS(5)

- Physics, Mathematics
- 2017

Free mixed-symmetry continuous-spin fields propagating in AdS(5) space and flat R(4,1) space are studied. In the framework of a light-cone gauge formulation of relativistic dynamics, we build simple…

### Light-cone gauge cubic interaction vertices for massless fields in AdS(4)

- PhysicsNuclear Physics B
- 2018

## References

SHOWING 1-10 OF 130 REFERENCES

### Partially-massless higher-spin algebras and their finite-dimensional truncations

- Mathematics
- 2015

A bstractThe global symmetry algebras of partially-massless (PM) higher-spin (HS) fields in (A)dSd+1 are studied. The algebras involving PM generators up to depth 2 (ℓ − 1) are defined as the maximal…

### Some Properties of Massless Particles in Arbitrary Dimensions

- Mathematics
- 1998

Various properties of two kinds of massless representations of the n-conformal (or (n+1)-De Sitter) group are investigated for n≥2. It is found that, for space-time dimensions n≥3, the situation is…

### Higher spin superalgebras in any dimension and their representations

- Physics
- 2004

Fock module realization for the unitary singleton representations of the d?1 dimensional conformal algebra o(d?1,2), which correspond to the spaces of single-particle states of massless scalar and…

### Partially massless higher-spin theory

- Physics
- 2016

A bstractWe study a generalization of the D-dimensional Vasiliev theory to include a tower of partially massless fields. This theory is obtained by replacing the usual higher-spin algebra of Killing…

### One massless particle equals two Dirac singletons

- Mathematics
- 1978

The ‘remarkable representations of the 3+2 de Sitter group’, discovered by Dirac, later called singleton representations and here denoted Di and Rac, are shown to possess the following truly…

### Notes on conformal invariance of gauge fields

- Mathematics
- 2015

In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility…

### Massless Particles, Conformal Group and De Sitter Universe

- Mathematics
- 1981

We first review a recent result on the uniqueness of the extension to the conformal group of massless representations of the Poincare group. By restricting these representations to SO(3,2) we obtain…