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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 450–467
DOI: https://doi.org/10.4213/tmf6292 (Mi tmf6292) 		 
Twistor quantization of loop spaces of compact Lie groups

A. G. Sergeev

Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf6292
Abstract: We consider the problem of twistor quantization for the loop space $\Omega_TG$ of a compact Lie group $G$. We show that this problem is solvable in the critical dimension.
Keywords: twistor quantization, loop space, Fock bundle, affine algebra, Goodman–Wallach action.
Received: 29.05.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1745–1759
DOI: https://doi.org/10.1007/s11232-008-0146-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Sergeev, “Twistor quantization of loop spaces of compact Lie groups”, TMF, 157:3 (2008), 450–467; Theoret. and Math. Phys., 157:3 (2008), 1745–1759
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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