Exact Superstring solutions are constructed moving in 4-D space-time w
ith positive curvature and non-trivial dilaton and antisymmetric tenso
r fields. The full spectrum of string excitations is derived as a func
tion of moduli fields T-i and the scale mu(2) = 1/(k + 2) which induce
d by the non-zero background fields. The spectrum of string excitation
s has a non-zero mass gap mu(2) and in the weak curvature limit (mu sm
all) mu(2) plays the role of a well defined infrared regulator, consis
tent with modular invariance, gauge invariance, supersymmetry and chir
ality. The effects of a covariantly constant chomo-magnetic field B as
well as additional curvature can be derived exactly up to one string-
loop level. Thus, the one-loop corrections to all couplings (gravitati
onal, gauge and Yukawas) are unambiguously computed and are finite bot
h in the Ultra-Violet and the Infra-Red regime. These corrections are
necessary for quantitative string superunification predictions at low
energies. The one-loop corrections to the couplings are also found to
satisfy Infrared Flow Equations.