Conformal sigma models for a class of Tp,q spaces

Abstract

We consider a two-dimensional conformal theory based on (G×G')/H coset sigma model introduced by Guadagnini, Martellini and Mintchev. It is shown that in the case of (SU(2)×SU(2))/U(1) the metric of the corresponding background is of Tp,q coset space form (but is not an Einstein one). A similar interpretation is possible for the Lorentzian coset space W4,2 = (SL(2,R)×SL(2,R))/U(1). The resulting ten-dimensional homogeneous space metric on W4,2×Tp,q supplemented with a 2-form field gives a critical NS-NS superstring background with a conformal sigma model interpretation.