We consider a two-dimensional conformal theory based on GxG'/H coset sigma
model introduced by Guadagnini, Martellini and Mintchev. It is shown that i
n the case of SU(2)xSU(2)/U(1) the metric of the corresponding background i
s of T-p,T-q coset space form (but is not an Einstein one). A similar inter
pretation is possible for the Lorentzian coset space W-4,W-2 = SL(2,R)xSL(2
,R)/U(1). The resulting ten-dimensional homogeneous space metric on W-4,W-2
x T-p,T-q supplemented with a 2-form field gives a critical NS-NS superstr
ing background with a conformal sigma model interpretation.