Massless finite and infinite spin representations in six dimensions
Seminars
Seminar “Modern Mathematical Physics”
Date and Time: Tuesday, 22 December 2020, at 1:00 PM
Venue: Online conference on Zoom, Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Massless finite and infinite spin representations in six dimensions»
Speaker: Sergey Fedoruk
Abstract:
Massless irreducible representations of the Poincaré group ISO(1,5) in six-dimensional Minkowski space are studied, and full classification of all massless representations, including infinite spin one, is given. The representations are described by three Casimir operators, which are found in explicit form. The properties of these operators are explored in the massless momentum reference frame. It is shown that the unitary representations of the ISO(1,5) group are induced from representations of SO(4) and ISO(4) groups and are divided into finite spin (helicity) and infinite spin representations. Both these representations are studied in details. It is proved that the finite spin representation is described by two integer or half-integer numbers while the infinite spin representation is described by one real parameter and one integer or half-integer number. It is shown that the fields describing arbitrary infinite spin representations must be defined in space with additional vector coordinates.