Variations of rational higher tangential structures

Hisham Sati, Matthew Wheeler

Research output: Contribution to journalArticle

Abstract

The study of higher tangential structures, arising from higher connected covers of Lie groups (String, Fivebrane, Ninebrane structures), require considerable machinery for a full description, especially for connections to geometry and applications. With utility in mind, in this paper we study these structures at the rational level and by considering Lie groups as a starting point for defining each of the higher structures, making close connection to pi-structures. We indicatively call these (rational) Spin-Fivebrane and Spin-Ninebrane structures. We study the space of such structures and characterize their variations, which reveal interesting effects whereby variations of higher structures are arranged to systematically involve lower ones. We also study the homotopy type of the gauge group corresponding to bundles equipped with the higher rational structures that we define.

Original languageEnglish (US)
Pages (from-to)229-248
Number of pages20
JournalJournal of Geometry and Physics
Volume130
DOIs
StatePublished - Aug 2018

Keywords

  • Gauge groups
  • Mapping spaces
  • Rational cohomology
  • Rational homotopy
  • Whitehead tower

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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