We present a few remarks on disconnected components of the moduli spac
e of heterotic string compactifications on T-2. We show in particular
how the eight dimensional CHL heterotic string can be understood in te
rms of topologically non-trivial E8XE8 and Spin(32)/Z(2) vector bundle
s over the torus, and that the respective moduli spaces coincide. (C)
1998 Elsevier Science B.V.