The loop group of e8 and targets for spacetime

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Abstract

The dimensional reduction of the E8 gauge theory in 11 dimensions leads to a loop bundle in ten-dimensional type IIA 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.

Original languageEnglish (US)
Pages (from-to)25-40
Number of pages16
JournalModern Physics Letters A
Volume24
Issue number1
DOIs
Publication statusPublished - Jan 10 2009

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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