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Twistor quantization of loop spaces of compact Lie groups
Authors:A G Sergeev
Institution:(1) Steklov Mathematical Institute, RAS, Moscow, Russia
Abstract:We consider the problem of twistor quantization for the loop space ΩTG of a compact Lie group G. We show that this problem is solvable in the critical dimension. Dedicated to Vasilii Sergeevich Vladimirov for his 85th birthday __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 3, pp. 450–467, December, 2008.
Keywords:twistor quantization  loop space  Fock bundle  affine algebra  Goodman-Wallach action
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