Light-Cone Gauge String Field Theory in Noncritical Dimensions

Understand

We study light-cone gauge string field theory in noncritical space-time dimensions.

• Such a theory corresponds to a string theory in a Lorentz noninvariant background.
• We identify the worldsheet theory for the longitudinal coordinate variables $X^\pm$ and study its properties.
• It is a CFT with the right value of Virasoro central charge, using which we propose a BRST invariant formulation of the worldsheet theory.