NonAbelian Orbifolds
Abstract
The modular transformation property of the vacuum amplitudes of the closed bosonic string theories compactified on orbifolds are investigated for both abelian and nonabelian cases. It is shown that the twodimensional boldsymbol{Z}_{n}orbifolds (n=2, 3, 4, 6), which are the typical of abelian orbifolds, give the fully modular invariant vacuum amplitudes. On the other hand, the su(3) and o(6) Weyl orbifolds, which are the simplest examples of nonabelian orbifolds, give only partial modular invariance due to the existence of the subspace which escapes from the action of some nontrivial elements of the Weyl group.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 October 1987
 DOI:
 10.1143/PTP.78.908
 Bibcode:
 1987PThPh..78..908I