English

The Bosonic Ancestor of Closed and Open Fermionic Strings

High Energy Physics - Theory 2007-05-23 v1

Abstract

We review the emergence of the ten-dimensional fermionic closed string theories from subspaces of the Hilbert space of the 26-dimensional bosonic closed string theory compactified on an E8×SO(16)E_8\times SO(16) lattice. They arise from a consistent truncation procedure which generates space-time fermions out of bosons. This procedure is extended to open string sectors. We prove, from bosonic considerations alone, that truncation of the unique tadpole-free SO(213)SO(2^{13}) bosonic string theory compactified on the above lattice determines the anomaly free Chan-Paton group of the Type I theory. It also yields the Chan-Paton groups making Type O theories tadpole-free. These results establish a link between all M-theory strings and the bosonic string within the framework of conformal field theory. Its significance is discussed.

Keywords

Cite

@article{arxiv.hep-th/0203098,
  title  = {The Bosonic Ancestor of Closed and Open Fermionic Strings},
  author = {Francois Englert and Laurent Houart and Anne Taormina},
  journal= {arXiv preprint arXiv:hep-th/0203098},
  year   = {2007}
}

Comments

LaTeX files, 16 pages. Contribution to the Francqui meeting, Brussels 2001 and Corfu Summer Institute 2001. Based on hep-th/0106235