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}
}
  • T. Basile
  • Published 29 October 2017
  • Mathematics
  • arXiv: High Energy Physics - Theory
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… 

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References

SHOWING 1-10 OF 130 REFERENCES

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

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

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

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

Geometric formulation for partially massless fields

Partially massless higher-spin theory

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

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

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

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
...