Gabor Etesi: On the existence of a complex structure on the six-sphere

Abstract: Existence of a complex structure on the six dimensional sphere will be re-examined in this talk. We interprete a hypothetical complex structure as a classical ground state of a non-linear Higgs scalar field theory formulated on S^6. This classical vacuum solution is then constructed by Fourier expansion from the obvious one of a similar theory on the exceptional compact Lie group G_2.