https://doi.org/10.1140/epjc/s10052-017-4903-9
Regular Article - Theoretical Physics
Wigner’s infinite spin representations and inert matter
1
CBPF, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, 22290-180, Brazil
2
Institut für Theoretische Physik FU-Berlin, Arnimallee 14, 14195, Berlin, Germany
* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
10
May
2016
Accepted:
9
May
2017
Published online:
31
May
2017
Abstract
Positive energy ray representations of the Poincaré group are naturally subdivided into three classes according to their mass and spin content: 
finite helicity and 
infinite spin. For a long time the localization properties of the massless infinite spin class remained unknown, until it became clear that such matter does not permit compact spacetime localization and its generating covariant fields are localized on semi-infinite space-like strings. Using a new perturbation theory for higher spin fields we present arguments which support the idea that infinite spin matter cannot interact with normal matter and we formulate conditions under which this also could happen for finite spin 
fields. This raises the question of a possible connection between inert matter and dark matter.
Present address: 0000 0004 0643 8134, grid.418228.5, CBPF, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, 22290-180, Brazil
© The Author(s), 2017
