Higher gauge theories from Lie n-algebras and off-shell covariantization

Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda, Yukio Kaneko, Satoshi Watamura

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QP-manifold, which is closely related to the BRST-BV formalism in gauge theories. Extensions of the Lie 2-algebra gauge structure are formulated within the Lie n-algebra induced by the QP-structure. We find that in 5 and 6 dimensions there are special extensions of the gauge algebra. In these cases, a restriction of the gauge symmetry by imposing constraints on the auxiliary gauge fields leads to a covariantized theory. As an example we show that we can obtain an off-shell covariantized higher gauge theory in 5 dimensions, which is similar to the one proposed in [1].

Original languageEnglish
Article number125
JournalJournal of High Energy Physics
Volume2016
Issue number7
DOIs
Publication statusPublished - 2016 Jul 1

Keywords

  • Differential and Algebraic Geometry
  • Gauge Symmetry
  • M-Theory
  • Topological Strings

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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