In this easy introduction to higher gauge theory, we describe parallel transport for particles
and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a …

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 …

We formulate differential cohomology and Chern-Weil theory--the theory of connections on
fiber bundles and of gauge fields--abstractly in the context of a certain class of higher …

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 …

This thesis constitutes a first attempt to derive aspects of standard model particle physics
from little more than an algebra. Here, we argue that physical concepts such as particles …

Quantum theory may be formulated using Hilbert spaces over any of the three associative
normed division algebras: the real numbers, the complex numbers and the quaternions …

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 …

We formalize higher-dimensional and higher gauge WZW-type sigma-model local
prequantum field theory, and discuss its rationalized/perturbative description in (super-) Lie …

We show that three generations of leptons and quarks with unbroken Standard Model gauge
symmetry SU (3) _c * U (1) _ em SU (3) c× U (1) em can be described using the algebra of …

Ellis–Bronnikov (EB) wormholes require violation of null energy conditions at the 'throat'.
This problem was cured by a simple modification of the 'shape function', which introduces a …