We briefly review the manifold incarnations and facets of the notion that gravity, in certain
regards, can be re-conceived as the product of two gauge theories. We begin with a short …

By regarding gravity as the convolution of left and right Yang-Mills theories together with a
spectator scalar field in the biadjoint representation, we derive in linearized approximation …

In these lectures we review how symmetries of gravitational theories may be regarded as
originating from those of'Yang–Mills squared'. We begin by motivating the idea that certain …

In this article I propose a new criterion to extend the Standard Model of particle physics from
a straightforward algebraic conjecture: the symmetries of physical microscopic forces …

A bstract By formulating\(\mathcal {N}\)= 1, 2, 4, 8, D= 3, Yang-Mills with a single Lagrangian
and single set of transformation rules, but with fields valued respectively in\(\mathbb …

Using a unified formulation of N= 1, 2, 4, 8, super Yang-Mills theories in D= 3 spacetime
dimensions with fields valued respectively in R, C, H, O, it was shown that tensoring left and …

A bstract Tensoring two on-shell super Yang-Mills multiplets in dimensions D≤ 10 yields an
on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a …

The compact 16-dimensional Moufang plane, also known as the Cayley plane, has
traditionally been defined through the lens of octonionic geometry. In this study, we present …

We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to
Rosenfeld projective lines except over the Dixon algebra\(\mathbb {C}\otimes\mathbb …

We construct the well-known decomposition of the Lie algebra e8 into representations of
e6⊕ su (3) using explicit matrix representations over pairs of division algebras. The minimal …