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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 83, Number 3, Pages 384–398 (Mi tmf5817)  

This article is cited in 1 scientific paper (total in 1 paper)

Geometric quantization of strings and reparametrization invariance

A. D. Popov
References:
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
English version:
Theoretical and Mathematical Physics, 1990, Volume 83, Issue 3, Pages 608–619
DOI: https://doi.org/10.1007/BF01018030
Bibliographic databases:
Language: Russian
Citation: A. D. Popov, “Geometric quantization of strings and reparametrization invariance”, TMF, 83:3 (1990), 384–398; Theoret. and Math. Phys., 83:3 (1990), 608–619
Citation in format AMSBIB
\Bibitem{Pop90}
\by A.~D.~Popov
\paper Geometric quantization of~strings and reparametrization invariance
\jour TMF
\yr 1990
\vol 83
\issue 3
\pages 384--398
\mathnet{http://mi.mathnet.ru/tmf5817}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1070694}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 3
\pages 608--619
\crossref{https://doi.org/10.1007/BF01018030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EX50100007}
Linking options:
  • https://www.mathnet.ru/eng/tmf5817
  • https://www.mathnet.ru/eng/tmf/v83/i3/p384
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:759
    Full-text PDF :199
    References:68
    First page:1
     
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