We present the stellar velocity dispersion measurements for 5 Luminous Compact Galaxies (LCGs) at z=0.5-0.7. These galaxies are vigorously forming stars with average SFR $sim$ 40 M$_{odot}$/yr. We find that their velocity dispersions range from $sim137 rm{km/s}$ to $260 rm{km/s}$, while their stellar masses range between $4times 10^{9}$ and $10^{11}$ M$_{odot}$. If these LCGs evolve passively after this major burst of star formation, their masses and velocity dispersions, as well as their evolved colours and luminosities are most consistent with the values characteristic of early-type spiral galaxies today.
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