D2-D8 system with massive strings and the Lifshitz spacetimes

The Romans' type IIA supergravity allows fundamental strings to have explicit mass term at the tree level. We show that there exists a (F1,D2,D8) brane configuration which gives rise to Lif₄⁽²⁾×R¹×S⁵ vacua supported by the massive strings. The presence of D8-branes naturally excites massive fundamental strings. A compactification on circle relates these Lifshitz massive type-IIA background with the axion-flux Lif₄⁽²⁾×S¹×S⁵ vacua in ordinary type-IIB theory. The massive T-duality in eight dimensions further relates them to yet another (Lif)-tilde ₄⁽²⁾×S¹×S⁵ vacua constituted by (F1,D0,D6) system in ordinary type IIA theory. The latter vacua after compactification to four dimensions generate two 'distinct' electric charges and a constant magnetic field, all living over 2-dimensional plane. This somewhat reminds us of a similar set up in quantum Hall systems.