The term higher gauge theory refers to the generalization of gauge theory to a theory of connections at two levels, essentially given by 1and 2-forms. So far, there have been two approaches to thisâ€¦ (More)

We study a special sort of 2-dimensional extended Topological Quantum Field Theories (TQFTs) which we call open-closed TQFTs. These are defined on open-closed cobordisms by which we mean smoothâ€¦ (More)

We derive an exact duality transformation for pure non-Abelian gauge theory regularized on a lattice. The duality transformation can be applied to gauge theory with an arbitrary compact Lie group Gâ€¦ (More)

The partition function of the SO(4)or Spin(4)-symmetric Euclidean Barrettâ€“Crane model can be understood as a sum over all quantized geometries of a given triangulation of a four-manifold. In theâ€¦ (More)

We present a state sum construction of two-dimensional extended Topological Quantum Field Theories (TQFTs), so-called open-closed TQFTs, which generalizes the state sum of Fukumaâ€“Hosonoâ€“Kawai fromâ€¦ (More)

We observe the power law scaling behavior of the monopole mass and condensate in the pure compact U(1) gauge theory with the Villain action. In the Coulomb phase the monopole mass scales with theâ€¦ (More)

The gauge symmetry of classical general relativity under space-time diffeomorphisms implies that any path integral quantization which can be interpreted as a sum over spacetime geometries, gives riseâ€¦ (More)

Attaching an inert mass to a freely moving tibia of an otherwise fixed stick insect Carausius morosus, induces undamped oscillations of the tibia. We describe the use of a rotational pendulum toâ€¦ (More)

Non-Abelian Lattice Gauge Theory in Euclidean space-time of dimension d â‰¥ 2 whose gauge group is any compact Lie group is related to a Spin Foam Model by an exact strong-weak duality transformation.â€¦ (More)

A strict 2-group is a 2-category with one object in which all morphisms and all 2morphisms have inverses. 2-Groups have been studied in the context of homotopy theory, higher gauge theory andâ€¦ (More)