Description of a class of superstring compactifications related to semi-simple Lie algebras

• DOI: 10.1007/bf01217761
• Publication Date: 2005-02-25T19:13:48Z
• Authors: D. G. Markushevich; M. A. Olshanetsky; A. M. Perelomov
• Keywords: 32J05; 53C80; 83E30; 81E30; 17B20; 0101 mathematics; 53C55; 01 natural sciences; 83E15; 22E40

A class of vacuum configurations in the superstring theory obtained by compactification of physical dimensions from ten to four is constructed. The compactification scheme involves taking quotients of tori of semisimple Lie algebras by finite symmetry group actions. The complete list of such configurations arising from actions by a Coxeter transformation is given. Some topological invariants having physical interpretations are calculated.