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Yang-Mills, Complex Structures and Chern's Last Theorem
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics. Department of Physics and Materials Science, Theoretical Physics.
2005 (English)In: Modern Physics Letters A, Vol. 20, 2583-2600 p.Article in journal (Refereed) Published
Abstract [en]

Recently Shiing-Shen Chern suggested that the six dimensional sphere $\mathbb{S}^6$ 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.

Place, publisher, year, edition, pages
2005. Vol. 20, 2583-2600 p.
URN: urn:nbn:se:uu:diva-79413DOI: doi:10.1142/S0217732305018761OAI: oai:DiVA.org:uu-79413DiVA: diva2:107326
Available from: 2006-04-10 Created: 2006-04-10 Last updated: 2011-01-11

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