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Einstein-Cartan theory is formulated in (1 + 2) dimensions using the algebra of exterior differential forms. A Dirac spinor is coupled to gravity and the field equations are obtained by a variational principle. The space-time torsion is found to be given algebraically in terms of a quadratic spinor condensate field. Circularly symmetric, exact solutions that collapse to AdS(3) geometry in the absence of the Dirac condensate are found

Einstein–Cartan–Dirac theory in (1+2)-dimensions