Abstract
The author studies some conformal variance properties of the polymer and percolation problems in two dimensions. By analysing the transfer matrix spectrum of these models at criticality, their series of thermal and magnetic exponents are identified. The results for percolation agree with the recent conjectures of Dotsenko and Fateev (1984) while some of the results for polymers are different. In the case of polymers, these series are interpreted as a new set of geometrical exponents. In each case the question of corrections to scaling is discussed.
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