Vacuum configurations in superstrings associated with semisimple Lie algebras
Markushevich D. G., Ol'shanetskii M. A., Perelomov A. M.
A class of vacuum configurations is constructed in superstring theory with a compactification from ten dimensions to four. These configurations are found through a factorization of tori of semisimple Lie groups on the basis of finite symmetry groups. A complete list is given for symmetries generated by a Coxter transformation. The number of generations is calculated.