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Semistrict higher gauge theory

Publikace na Matematicko-fyzikální fakulta |
2015

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.

We further derive the full description of connective structures on semistrict principal 2-bundles including the non-linear gauge transformations. As an application, we use a twistor construction to derive superconformal constraint equations in six dimensions for a non-Abelian N = (2, 0) tensor multiplet taking values in a semistrict Lie 2-algebra.