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 TMF, 1985, Volume 64, Number 2, Pages 329–336 (Mi tmf5001)

Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories

I. Ya. Aref'eva, I. V. Volovich

Abstract: New solutions are found for the equations of Kaluza–Klein theory and superstrings corresponding to spontaneous compactification and using compact manifolds of constant negative curvature and surfaces of KÇ type. The part played by manifolds of constant negative curvature in Kaluza–Klein theory is discussed. Solutions corresponding to the existence of additional time dimensions with vanishing cosmological constant are also found.

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English version:
Theoretical and Mathematical Physics, 1985, 64:2, 866–871

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Citation: I. Ya. Aref'eva, I. V. Volovich, “Manifolds of constant negative curvature as vacuum solutions in Kaluza–Klein and superstring theories”, TMF, 64:2 (1985), 329–336; Theoret. and Math. Phys., 64:2 (1985), 866–871

Citation in format AMSBIB
\Bibitem{AreVol85} \by I.~Ya.~Aref'eva, I.~V.~Volovich \paper Manifolds of constant negative curvature as vacuum solutions in Kaluza--Klein and superstring theories \jour TMF \yr 1985 \vol 64 \issue 2 \pages 329--336 \mathnet{http://mi.mathnet.ru/tmf5001} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=826524} \zmath{https://zbmath.org/?q=an:0602.53059} \transl \jour Theoret. and Math. Phys. \yr 1985 \vol 64 \issue 2 \pages 866--871 \crossref{https://doi.org/10.1007/BF01017969} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1985A491800015} 

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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, B. G. Dragovich, “Spontaneous reduction in multidimensional ($D=10, 11$) supergravity theories with arbitrary signature”, Theoret. and Math. Phys., 70:3 (1987), 297–304
2. D. V. Vassilevich, “Compactification of ten-dimensional Kaluza–Klein model and superstring”, Theoret. and Math. Phys., 72:1 (1987), 742–747
3. A. Yu. Khrennikov, “Infinite-dimensional pseudodifferential operators”, Math. USSR-Izv., 31:3 (1988), 575–601
4. A. Yu. Khrennikov, “Functional superanalysis”, Russian Math. Surveys, 43:2 (1988), 103–137
5. A. D. Popov, “Chiral fermions in $N=2$, $d=10$ supergravity with additional time dimensions”, Theoret. and Math. Phys., 74:2 (1988), 145–149
6. A. D. Popov, “Chiral fermions in $d=11$ supergravity with additional time dimensions”, Theoret. and Math. Phys., 76:1 (1988), 718–724
7. I. L. Buchbinder, V. P. Dergalev, S. D. Odyntsov, “Vilkovisky–DeWitt effective action in multidimensional quantum gravity and antiperiodic boundary conditions”, Theoret. and Math. Phys., 80:1 (1989), 776–782
8. S. D. Odyntsov, “Vilkovisky effective action in quantum gravity with matter”, Theoret. and Math. Phys., 82:1 (1990), 45–51
9. P. E. Brandyshev, “Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the curvature”, Theoret. and Math. Phys., 188:1 (2016), 1099–1108
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