Yang-Mills, complex structures and Chern's last theorem

Andrei Marshakov, Antti J. Niemi

Research output: Contribution to journalShort surveypeer-review

1 Citation (Scopus)

Abstract

Recently Shiing-Shen Chern suggested that the six-dimensional sphere S 6 has no complex structure. Here we explore the relations between his arguments and Yang-Mills theories. In particular, we propose that Chern's approach is widely applicable to investigate connections between the geometry of manifolds and the structure of gauge theories. We also discuss several examples of manifolds, both with and without a complex structure.

Original languageEnglish
Pages (from-to)2583-2600
Number of pages18
JournalModern Physics Letters A
Volume20
Issue number34
DOIs
Publication statusPublished - 10 Nov 2005
Externally publishedYes

Keywords

  • Complex geometry
  • Yang-Mills theory

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