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Twistor quantization of loop spaces of compact Lie groups

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Publication:1002681
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DOI10.1007/s11232-008-0146-0zbMath1155.81338OpenAlexW2039659202WikidataQ115380614 ScholiaQ115380614MaRDI QIDQ1002681

Armen Glebovich Sergeev

Publication date: 2 March 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0146-0


zbMATH Keywords

affine algebraloop spaceFock bundletwistor quantizationgoodman-wallach action


Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25)


Related Items (1)

The 2-Hilbert space of a prequantum bundle gerbe



Cites Work

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  • Kähler geometry of loop spaces
  • String quantization on group manifolds and the holomorphic geometry of Diff \(S^ 1/S^ 1\)
  • Unitary representations of some infinite dimensional groups
  • Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
  • The Ricci curvature of Diff S1/SL(2, R)


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