The 4-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki
provides a gauge-theoretic origin for the Lax connection of 2-dimensional integrable field …

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 …

In the presence of a nonzero B-field, the symmetries of the E8× E 8 heterotic string form a 2-
group, or a categorified group, as do the symmetries of the CHL string. We express the …

We present an action for a six-dimensional superconformal field theory containing a non-
abelian tensor multiplet. All of the ingredients of this action have been available in the …

We investigate topological T-duality in the framework of non-abelian gerbes and higher
gauge groups. We show that this framework admits the gluing of locally defined T-duals, in …

We argue that the relevant higher gauge group for the non-abelian generalization of the self-
dual string equation is the string 2-group. We then derive the corresponding equations of …

We construct a representation of the string 2-group on a 2-vector space, namely on the
hyperfinite type III_1 von Neumann algebra. We prove that associating this representation to …

In this paper, we introduce a notion of a principal 2-bundle over a Lie groupoid. For such
principal 2-bundles, we have produced a short exact sequence of VB-groupoids, namely …

We introduce multiplicative differential forms on Lie groupoids with values in VB-groupoids.
Our main result gives a complete description of these objects in terms of infinitesimal data …

A nice differential-geometric framework for (non-abelian) higher gauge theory is provided by
principal 2-bundles, ie categorified principal bundles. Their total spaces are Lie groupoids …