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The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connectionone-form $\omega^{a}_{\ b}$ as independent gravitational variables coupled to2d massless Dirac matter is considered. It is shown that the classicalequations of motion are exactly integrated in the case of chiral fermions.Comment: Preprint JINR E2-94-117, 15p., Late

Exact solution of two-dimensional Poincaré gravity coupled to fermion matter