Symplectic Twistors and Geometric Quantization of Strings

  • A. D. Popov
  • A. G. Sergeev
Part of the Aspects of Mathematics book series (ASMA, volume 25)


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.


Symplectic Structure Twistor Space Loop Space Bosonic String Geometric Quantization 
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© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden 1994

Authors and Affiliations

  • A. D. Popov
  • A. G. Sergeev

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