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 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 …

A 'Chen space'is a set $ X $ equipped with a collection of 'plots', ie, maps from convex sets to
$ X $, satisfying three simple axioms. While an individual Chen space can be much worse …

This paper is an evolution of “Oops for the Loops”. As such it overlaps and repeats the first
few sections of the original paper, and then, adds a new section, demonstrating the issues …

A bstract We consider exactly solvable models in (3+ 1) d whose ground states are
described by topological lattice gauge theories. Using simplicial arguments, we emphasize …

We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras
to L∞-algebras and use it to study the obstruction theory of lifts through higher String-like …

This paper results from work done on the multi-fold theory which resulted in a proposal for
quantum gravity. In a multi-fold universe, gravity emerges from entanglement through the …

In the background effective field theory of heterotic string theory, the Green-Schwarz
anomaly cancellation mechanism plays a key role. Here we reinterpret it and its magnetic …

We introduce an axiomatic framework for the parallel transport of connections on gerbes. It
incorporates parallel transport along curves and along surfaces, and is formulated in terms …

This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical
Physics, 2nd edition. In particular, we provide a lightning introduction to higher structures …