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We investigate transport of correlated fermions through a junction of threeone-dimensional quantum wires pierced by a magnetic flux. We determine the flowof the conductance as a function of a low-energy cutoff in the entire parameterspace. For attractive interactions and generic flux the fixed point withmaximal asymmetry of the conductance is the stable one, as conjecturedrecently. For repulsive interactions and arbitrary flux we find a line ofstable fixed points with vanishing conductance as well as stable fixed pointswith symmetric conductance (4/9)(e^2/h).Comment: 5 pages, 3 figures, version accepted for publication in Phys. Rev.  Let

Junction of Three Quantum Wires: Restoring Time-Reversal Symmetry by Interaction