Abstract
We present the geometric quantization scheme for the bosonic string theory in twistor terms. Starting from the loop space of a Lie group we define a symplectic twistor bundle over the loop space and reformulate the geometric quantization problem in terms of this bundle. For the standard bosonic string we recover in this way the well known critical dimension condition.
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© 1994 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Popov, A.D., Sergeev, A.G. (1994). Symplectic Twistors and Geometric Quantization of Strings. In: Tikhomirov, A., Tyurin, A. (eds) Algebraic Geometry and its Applications. Aspects of Mathematics, vol 25. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-99342-7_12
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DOI: https://doi.org/10.1007/978-3-322-99342-7_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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