The Loop Group of E8 and Targets for Spacetime
High Energy Physics - Theory
2009-02-10 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0701231,
title = {The Loop Group of E8 and Targets for Spacetime},
author = {Hisham Sati},
journal= {arXiv preprint arXiv:hep-th/0701231},
year = {2009}
}
Comments
17 pages, main section improved, change in title, reference and acknowledgement added