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 UFN, 1985, Volume 146, Number 4, Pages 655–681 (Mi ufn8347)

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Supersymmetry: Kaluza–Klein theory, anomalies, and superstrings

I. Ya. Aref'eva, I. V. Volovich

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: Progress in the search for a unified theory of elementary particles is reviewed. The supersymmetrical Kaluza-Klein theories are described: 11-, 10-, and 6-dimensional models of supergravity. The methods of spontaneous compactification, with whose help the four-dimensional theories are obtained, are described. The properties of the massless sector—zero modes in the Kaluza–Klein theories–and the question of the stability of vacuum solutions are discussed. An important criterion for the selection of a self-consistent theory is the absence of anomalies. The basic formulas for multidimensional chiral and gravitational anomalies are presented. The mechanism of the cancellation of the anomaly for Green and Schwarz's 10-dimensional effective field theory of superstrings with the gauge groups SO(32) and E$_8\times$ E$_8$ is described. The basic concepts and the results of the theory of superstrings are presented. This theory has no divergences and is at the present time a very attractive candidate for a unified theory of elementary particles.

DOI: https://doi.org/10.3367/UFNr.0146.198508e.0655

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English version:
Physics–Uspekhi, 1985, 28:8, 694–708

UDC: 539.12.01
PACS: 04.50.+h, 11.30.Pb, 11.25.Mj, 04.65.+e, 11.30.Ly, 11.30.Rd

Citation: I. Ya. Aref'eva, I. V. Volovich, “Supersymmetry: Kaluza–Klein theory, anomalies, and superstrings”, UFN, 146:4 (1985), 655–681; Phys. Usp., 28:8 (1985), 694–708

Citation in format AMSBIB
\Bibitem{AreVol85} \by I.~Ya.~Aref'eva, I.~V.~Volovich \paper Supersymmetry: Kaluza--Klein theory, anomalies, and superstrings \jour UFN \yr 1985 \vol 146 \issue 4 \pages 655--681 \mathnet{http://mi.mathnet.ru/ufn8347} \crossref{https://doi.org/10.3367/UFNr.0146.198508e.0655} \transl \jour Phys. Usp. \yr 1985 \vol 28 \issue 8 \pages 694--708 \crossref{https://doi.org/10.1070/PU1985v028n08ABEH003884} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. I. Ya. Aref'eva, I. V. Volovich, “Covariant quantization of gauge-invariant string field theories”, Theoret. and Math. Phys., 67:2 (1986), 521–524
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