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Twistor quantification for the loop space \(\Omega\mathbb R^d\). (Russian. English summary) Zbl 1199.81027

Summary: We consider the problem of twistor quantization for the loop space \(\Omega\mathbb R^d\) that consist of the smooth loops from the space \(\mathbb R^d\). We show that this problem is solvable in the critical dimension.

MSC:

81R25 Spinor and twistor methods applied to problems in quantum theory
55P35 Loop spaces
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