DISCRETE STRINGS IN THE GEOMETRIC-QUANTIZATION APPROACH

A finite-dimensional approximation to the phase space of a closed bosonic string is considered. The constraints are taken into account within the framework of the BRST formalism. The geometric quantization of this model is described, as well as the passage to the limit of string theory. The geometric quantization of finite-dimensional phase spaces with symmetries is reformulated in terms of a generalized-twistor manifold.