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arXiv · 1403.7185

Semistrict Higher Gauge Theory

Branislav Jurco·Christian Saemann·Martin Wolf
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Abstract

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.

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Branislav Jurco, Christian Saemann, Martin Wolf. 2015-04-29. Semistrict Higher Gauge Theory. https://doi.org/10.1007/jhep04(2015)087

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