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Quantum theory of dilaton gravity coupled to a nonlinear sigma model with amaximally symmetric target space is studied in $2+\epsilon$ dimensions. Theultraviolet stable fixed point for the curvature of the nonlinear sigma modeldemands a new fixed point theory for the dilaton coupling function. The fixedpoint of the dilaton coupling is a saddle point similarly to the previous caseof the flat target space.Comment: 12 pages, LaTe

DILATON GRAVITY COUPLED TO A NONLINEAR SIGMA MODEL IN 2+ε DIMENSIONS