  Motivated by the recent progresses in the formulation of geometric theories
for the fractional quantum Hall states, we propose a novel non-relativistic
geometric model for the Laughlin states based on an extension of the
Nappi-Witten geometry. We show that the U(1) gauge sector responsible for the
fractional Hall conductance, the gravitational Chern-Simons action and Wen-Zee
term associated to the Hall viscosity can be derived from a single Chern-Simons
theory with a gauge connection that takes values in the extended Nappi-Witten
algebra. We then provide a new derivation of the chiral boson associated to the
gapless edge states from the Wess-Zumino-Witten model that is induced by the
Chern-Simons theory on the boundary.
