Semistrict higher gauge theory

  • Branislav Jurčo
  • Christian Sämann
  • Martin Wolf
Open Access
Regular Article - Theoretical Physics


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 Čech 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 Ševera. 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 \( \mathcal{N}=\left(2,0\right) \) tensor multiplet taking values in a semistrict Lie 2-algebra.


Extended Supersymmetry Differential and Algebraic Geometry M-Theory Integrable Field Theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Branislav Jurčo
    • 1
  • Christian Sämann
    • 2
  • Martin Wolf
    • 3
  1. 1.Mathematical Institute, Faculty of Mathematics and PhysicsCharles University in PraguePragueCzech Republic
  2. 2.Maxwell Institute for Mathematical Sciences, Department of MathematicsHeriot-Watt UniversityEdinburghUnited Kingdom
  3. 3.Department of MathematicsUniversity of SurreyGuildfordUnited Kingdom

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