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We consider 1+1 dimensional SU(N) gauge theory coupled to a multiplet of massive Dirac fermions transforming in the adjoint representation of the gauge group. The high density limit is characterized by a deconfined Fermi surface state with Fermi wavevector equal to that of free gauge-charged fermions. Its low energy fluctuations are described by a coset conformal field theory with central charge c=(N^2-1)/3. It displays an emergent N=(2,2) supersymmetry as well as extensive higher spin W-symmetries. We determine the exact scaling dimensions of the operators associated with Friedel oscillations and pairing correlations.
