36 citations · 57 across the 8 of their papers we have counts for
8 papers
The algebra of three fermion generations with spin and full internal symmetries
Adam B. Gillard, Niels G. Gresnigt
In this paper, the basis states of the minimal left ideals of the complex Clifford algebra are shown to contain three generations of Standard Model fermion states, with…
Three fermion generations with two unbroken gauge symmetries from the complex sedenions
Adam B. Gillard, Niels G. Gresnigt
We show that three generations of leptons and quarks with unbroken Standard Model gauge symmetry can be described using the algebra of complexified sedeni…
Deformations of spacetime and internal symmetries
Niels G. Gresnigt, Adam B. Gillard
Algebraic deformations provide a systematic approach to generalizing the symmetries of a physical theory through the introduction of new fundamental constants. The applications of…
Magnetic moments of octet baryons with deformed Uq(su(3)) flavor symmetry
Niels G. Gresnigt, Adam B. Gillard
The effect of a q-deformation of flavor symmetry on octet baryon magnetic moments is investigated by taking the quantum group Uq(su(3)) as a flavor symmetry and calculating express…
Electroweak symmetries from the topology of deformed spacetime with minimal length scale
Niels G. Gresnigt, Adam B. Gillard
Lie-type deformations provide a systematic way of generalising the symmetries of modern physics. Deforming the isometry group of Minkowski spacetime through the introduction of a m…
Elko Field Theory and the Nature of Elko Darkness
Adam Gillard
We show that the Elko Lagrangian dark matter candidate is gauge-invariant under local gauge transformations and that non-abelian gauge invariance can be set up quite naturally. Thi…
Dark matter, Elko fields and Weinberg's quantum field theory formalism
Adam Gillard, Benjamin Martin
The Elko quantum field was introduced by Ahluwalia and Grumiller, who proposed it as a candidate for dark matter. We study the Elko field in Weinberg's formalism for quantum field…
Quantum fields, dark matter and non-standard Wigner classes
A. B. Gillard, B. M. S. Martin
The Elko field of Ahluwalia and Grumiller is a quantum field for massive spin-1/2 particles. It has been suggested as a candidate for dark matter. We discuss our attempts to interp…