Abstract
The computation of two and three point functions in the
Coulomb gas free field approach to string theory in the
SL(2,
)//U(1) black hole background is reviewed. An interesting
relation arises when comparing the results obtained using two
different screening operators. The formalism is then modified to
study string theory propagating in AdS3 which is considered as the
direct product of the SL(2)/U(1) coset times a timelike free
boson. This representation allows to naturally include the spectral
flow symmetry and winding number in vertex operators and correlation
functions. Two and three point tachyon amplitudes are computed in this
new scenario and the results coincide with previous reports in the
literature. Novel expressions are found for processes violating
winding number conservation.
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An erratum page was added to the end of the published paper on 20 August 2001.