Mass Dimension One Fermions
Cambridge Monographs on Mathematical Physics Series

In 2005, Dharam Ahluwalia and Daniel Grumiller reported an unexpected theoretical discovery of mass dimension one fermions. These are an entirely new class of spin one half particles, and because of their mass dimensionality mismatch with the standard model fermions they are a first-principle dark matter candidate. Written by one of the physicists involved in the discovery, this is the first book to outline the discovery of mass dimension one fermions. Using a foundation of Lorentz algebra it provides a detailed construction of the eigenspinors of the charge conjugation operator (Elko) and their properties. The theory of dual spaces is then covered, before mass dimension one fermions are discussed in detail. With mass dimension one fermions having applications to cosmology and high energy physics, this book is essential for graduate students and researchers in quantum field theory, mathematical physics, and particle theory.

Preface; Acknowledgements; 1. Introduction; 2. A trinity of duplexities; 3. From elements of Lie symmetries to Lorentz algebra; 4. Representations of Lorentz Algebra; 5. Discrete symmetries: Part 1 (Parity); 6. Discrete symmetries: Part 2 (Charge conjugation); 7. Eigenspinors of charge conjugation operator, Elko; 8. Construction of Elko; 9. A hint for mass dimension one fermions; 10. CPT for Elko; 11. Elko in Shirokov-Trautman, Wigner, and Lounesto classifications; 12. Rotation induced effects on Elko; 13. Elko-Dirac interplay, a temptation and a departure; 14. An ab initio journey into duals; 15. Mass dimension one fermions; 16. Mass dimension one fermions as a first principle dark matter; 17. Continuing the story; Appendix: a brief survey of other Elko literature; References; Index.

Dharam Ahluwalia is a theoretical physicist known internationally for his research on neutrino oscillations, interface of the gravitational and quantum realms, and new constructs in quantum field theory. In the early 1990s he introduced what later came to be known as Elko, and in 2005, together with Daniel Grumiller, reported on an unexpected theoretical discovery of mass dimension one fermions. This work has opened the field of Elko cosmology and has attracted the attention of physicists working on the localisation problem in five dimensional branes. In 1996, he was awarded the First Prize of the Gravity Research Foundation, jointly with Christoph Burgard.