Semistrict higher gauge theory

Jurčo, B, Sämann, C and Wolf, M (2015) Semistrict higher gauge theory Journal of High Energy Physics, 2015 (4).

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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.

Item Type:	Article
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Jurčo, B, Sämann, C and Wolf, M
Date :	1 April 2015
DOI :	10.1007/JHEP04(2015)087
Related URLs :	Author
Depositing User :	Symplectic Elements
Date Deposited :	28 Mar 2017 15:53
Last Modified :	11 Jun 2019 11:19
URI:	http://epubs.surrey.ac.uk/id/eprint/807814

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