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This article is cited in 1 paper
Geometric quantization of strings and reparametrization invariance
A. D. Popov
Abstract:
The structure of the phase space of closed bosonic strings in $R^{d-1,1}$ and its geometric quantization are investigated. It is shown that the critical dimension $d=26$ for bosonic strings arises as a condition of integrability of the quantum connection on the fibers of a bundle of complex structures over a loop space. The connection with BRST (Becchi–Rouet–Stora–Tyutin) string quantization is considered.
Received: 21.07.1989
Citation:
A. D. Popov, “Geometric quantization of strings and reparametrization invariance”, Teoret. Mat. Fiz., 83:3 (1990), 384–398
Citation in format AMSBIB
\Bibitem{Pop90}
\by A.~D.~Popov
\paper Geometric quantization of~strings and reparametrization invariance
\jour Teoret. Mat. Fiz.
\yr 1990
\vol 83
\issue 3
\pages 384--398
\mathnet{http://mi.mathnet.ru/tmf5817}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1070694}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 3
\pages 608--619
\crossref{http://dx.doi.org/10.1007/BF01018030}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1990EX50100007}
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http://mi.mathnet.ru/eng/tmf5817 http://mi.mathnet.ru/eng/tmf/v83/i3/p384
 Full text (in Russian):
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References (in Russian):
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English version:
Theoretical and Mathematical Physics, 1990, 83:3, 608–619
Review databases:
ISI Web of Knowledge:
A1990EX50100007
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This publication is cited in the following articles:
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А. Д. Попов, “Обобщенные твисторы и геометрическое квантование”, ТМФ, 87:1 (1991), 3–21
  ; A. D. Popov, “Generalized twistors and geometric quantization”, Theoret. and Math. Phys., 87:1 (1991), 331–344
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