Semistrict higher gauge theory

Branislav Jurčo, Christian Saemann, Martin Wolf

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)
84 Downloads (Pure)

Abstract

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 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 N=20(2,0) tensor multiplet taking values in a semistrict Lie 2-algebra.

Original languageEnglish
Article number87
Pages (from-to)1-66
JournalJournal of High Energy Physics
Volume2015
Issue number4
DOIs
Publication statusPublished - 20 Apr 2015

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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