Quotients of anti de Sitter space
Abstract
We study the quotients of (n+1)dimensional anti de Sitter space by oneparameter subgroups of its isometry group SO(2,n) for general n. We classify the different quotients up to conjugation by O(2,n). We find that the majority of the classes exist for all n⩾2. There are two special classes which appear in higher dimensions: one for n⩾3 and one for n⩾4. The description of the quotient in the majority of cases is thus a simple generalization of the AdS_{3} quotients.
 Publication:

Physical Review D
 Pub Date:
 July 2004
 DOI:
 10.1103/PhysRevD.70.026002
 arXiv:
 arXiv:hepth/0401205
 Bibcode:
 2004PhRvD..70b6002M
 Keywords:

 11.25.Mj;
 04.50.+h;
 Compactification and fourdimensional models;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 High Energy Physics  Theory
 EPrint:
 12 pages, v2: minor typos corrected