Asymptotically free two-dimensional chiral models

The geometrical part of a one-loop counter term of an arbitrary G-invariant chiral theory on the homogeneous space G/H of the Lie group G is calculated. It is shown that the class of asymptotically free theories is wider than the symmetric spaces.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 92–95, July, 1985.