Reply to ``Comment on `Z 2 -slave-spin theory for strongly correlated fermions'''

  title={Reply to ``Comment on `Z 2 -slave-spin theory for strongly correlated fermions'''},
  author={Andreas Ruegg and Sebastian D. Huber and Manfred Sigrist},
  journal={Physical Review B},
We show that the physical subspace in the Z2-slave-spin theory is conserved under the time evolution of the system. Thus, when restricted to the physical subspace, this representation gives a complete and consistent description of the original problem. In addition, we review two known examples from the existing literature in which the projection onto the physical subspace can be relaxed: (i) the non-interacting limit in any dimension at half filling and (ii) the interacting model in the… 
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Comment on “ Z 2 -slave-spin theory for strongly correlated fermions”
insures that the on-site operator constraint Ai = 0 selects the physical subspace consistently with the time evolution generated by the Hamiltonian H . Here Di is some nonlocal operator constructed
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