The term higher gauge theory refers to the generalization of gauge theory to a theory of
connections at two levels, essentially given by 1-and 2-forms. So far, there have been two …

We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6
dimensions with a spatial direction compactified on a circle of radius R. It has the following …

Lifting supersymmetric quantum mechanics to loop space yields the superstring. A particle
charged under a fiber bundle thereby turns into a string charged under a 2-bundle, or gerbe …

We give a functorial definition of $ G $-gerbes over a simplicial complex when the local
symmetry group $ G $ is non-Abelian. These combinatorial gerbes are naturally endowed …

A bstract In the first part of this paper, we work out a perturbative Lagrangian formulation of
semistrict higher gauge theory, that avoids the subtleties of the relationship between Lie 2 …

We first review self-dual (chiral) gauge field theories by studying their Lorentz non-covariant
and Lorentz covariant formulations. We next construct a non-Abelian self-dual two-form …

We study gauge theories based on nonabelian 2-forms. Certain connections on loop space
give rise to generalized covariant derivatives that include a nonabelian 2-form. This can be …

It is shown how the deformation of the superconformal generators on the string's worldsheet
by a nonabelian super-Wilson line gives rise to a covariant exterior derivative on loop space …

We propose a symmetry law for a doublet of different form fields, which resembles gauge
transformations for matter fields. This may be done for general Lie groups, resulting in an …

Dynamical origin of duality between gauge theory and gravity is studied using the duai
transformation and the formation of graviton as a collective excitation of dual gauge bosons …