Semistrict Higher Gauge Theory

Understand

We develop semistrict higher gauge theory from first principles.

• In particular, we describe the differential Deligne cohomology underlying semistrict principal 2-bundles with connective structures.
• Principal 2-bundles are obtained in terms of weak 2-functors from the Cech groupoid to weak Lie 2-groups.
• As is demonstrated, some of these Lie 2-groups can be differentiated to semistrict Lie 2-algebras by a method due to Severa.