Massless finite and infinite spin representations of Poincaré group in six dimensions

Abstract

We study the massless irreducible representations of the Poincaré group in the six-dimensional Minkowski space. The Casimir operators are constructed and their eigenvalues are found. It is shown that the finite spin (helicity) representation is defined by two integer or half-integer numbers while the infinite spin representation is defined by the real parameter ${\mu }^2$ and one integer or half-integer number.

arXiv commentv3: 1+15 pages, minor revision, published version

References in corpus (10)

• On geometric equations and duality for free higher spins
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Dynamics of Higher Spin Fields and Tensorial Space
• Continuous Spin Representations of the Poincaré and Super-Poincaré Groups
• Infinite (continuous) spin fields in the frame-like formalism
• Twistorial and space-time descriptions of massless infinite spin (super)particles and fields
• Continuous Spin Representations from Group Contraction
• Massless Particles in Higher Dimensions
• Supertwistors and massive particles
• Massless particles in five and higher dimensions

Cited by in corpus (5)

• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• On chiral bosons in 2D and 6D
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Twistor formulation of massless $6D$ infinite spin fields