TTbar deformation and the light-cone gauge

We show that the homogeneous inviscid Burgers equation which determines the spectrum of a TTbar deformed model has a natural interpretation as the condition of the gauge invariance of the target space energy and momentum of a (non-critical) string theory quantized in a generalized uniform light-cone gauge which depends on the deformation parameter. As a simple application of the light-cone gauge interpretation we derive the TTbar deformed Lagrangian for a system of any number of bosons and fermions with an arbitrary potential. We find out that the TTbar deformation is driven by the canonical Noether stress-energy tensor but not the covariant tensor.