The Loop Group of E8 and Targets for Spacetime

Details The Loop Group of E8 and Targets for Spacetime The Loop Group of E8 and Targets for Spacetime

2007-01-24

arxiv.org/abs/hep-th/0701231v2

Mod.Phys.Lett.A24:25-40,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, main section improved, change in title, reference and acknowledgement added

Scientific paper

10.1142/S0217732309028746

The dimensional reduction of the E8 gauge theory in eleven dimensions leads to a loop bundle in ten dimensional type IA string theory. We show that the restriction to the Neveu-Schwarz sector leads naturally to a sigma model with target space E8 with the ten-dimensional spacetime as the source. The corresponding bundle has a structure group the group of based loops, whose classifying space we study. We explore some consequences of this proposal such as possible Lagrangians and existence of flat connections.

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