Six-dimensional (1,0) superconformal models and higher gauge theory

Sam Arnold Palmer, Christian Saemann

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We analyze the gauge structure of a recently proposed superconformal field theory in six dimensions. We find that this structure amounts to a weak Courant-Dorfman algebra, which, in turn, can be interpreted as a strong homotopy Lie algebra. This suggests that the superconformal field theory is closely related to higher gauge theory, describing the parallel transport of extended objects. Indeed we find that, under certain restrictions, the field content and gauge transformations reduce to those of higher gauge theory. We also present a number of interesting examples of admissible gauge structures such as the structure Lie 2-algebra of an abelian gerbe, differential crossed modules, the 3-algebras of M2-brane models, and string Lie 2-algebras. © 2013 AIP Publishing LLC.

Original languageEnglish
Article number113509
Number of pages24
JournalJournal of Mathematical Physics
Volume54
Issue number11
Early online date26 Nov 2013
DOIs
Publication statusPublished - Nov 2013

Keywords

  • FIELD THEORY
  • ALGEBRAS
  • BRACKETS

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