In this paper we view the σ-model couplings of appropriate vertex operators describing the interaction of string matter with a certain type of string soliton (0-brane) as the quantum phase space of a point particle. The σ model is slightly noncritical and, therefore, one should dress it with a Liouville mode. Quantization is achieved by summing over world-sheet genera (in the pinched approximation). To leading order in the coupling-constant expansion, the quantization reproduces the usual quantum-mechanical commutator. We attempt to go beyond leading order, and we reproduce the generalized string uncertainty principle.
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Lizzi et al. (1997) studied this question.
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