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[en] We define the topological free energy for string compactifications, which is relevant for the discussion of perturbative as well as non-perturbative effects in string theory. This moduli-dependent functional, originating from the integration over massive string models, is determined by automorphic functions of the target-space duality group. We explicitly construct these automorphic functions for symmetric orbifold and Calabi-Yau compactification. (orig.)
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