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Twistor quantization of loop spaces of compact Lie groups
A. G. Sergeev Steklov Mathematical Institute, Russian Academy of Sciences
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6292https://doi.org/10.4213/tmf6292 https://www.mathnet.ru/eng/tmf/v157/i3/p450
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Abstract page: | 654 | Full-text PDF : | 259 | References: | 74 | First page: | 11 |
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