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

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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 2, Pages 329–336 (Mi tmf5001)

This article is cited in 19 scientific papers (total in 19 papers)

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

I. Ya. Aref'eva, I. V. Volovich

Full-text PDF (996 kB) Citations (19)

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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 KЗ 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.

Received: 01.03.1985

English version:
Theoretical and Mathematical Physics, 1985, Volume 64, Issue 2, Pages 866–871
DOI: https://doi.org/10.1007/BF01017969

Bibliographic databases:

Document Type: Article

Language: Russian

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

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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf5001

https://www.mathnet.ru/eng/tmf/v64/i2/p329

This publication is cited in the following 19 articles:

V V Monakhov, “Spacetime and inner space of spinors in the theory of superalgebraic spinors”, J. Phys.: Conf. Ser., 1557:1 (2020), 012031
Monakhov V., “Vacuum and Spacetime Signature in the Theory of Superalgebraic Spinors”, Universe, 5:7 (2019), 162
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
S. D. Odyntsov, “Vilkovisky effective action in quantum gravity with matter”, Theoret. and Math. Phys., 82:1 (1990), 45–51
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
M.D. Pollock, “On the origin of compactification in the superstring theory”, Physics Letters B, 227:2 (1989), 221
A. Yu. Khrennikov, “Functional superanalysis”, Russian Math. Surveys, 43:2 (1988), 103–137
A. D. Popov, “Chiral fermions in $N=2$ , $d=10$ supergravity with additional time dimensions”, Theoret. and Math. Phys., 74:2 (1988), 145–149
A. D. Popov, “Chiral fermions in $d=11$ supergravity with additional time dimensions”, Theoret. and Math. Phys., 76:1 (1988), 718–724
I.L. Buchbinder, P.M. Lavrov, S.D. Odintsov, “Unique effective action in Kaluza-Klein quantum theories and spontaneous compactification”, Nuclear Physics B, 308:1 (1988), 191
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
D. V. Vassilevich, “Compactification of ten-dimensional Kaluza–Klein model and superstring”, Theoret. and Math. Phys., 72:1 (1987), 742–747
A. Yu. Khrennikov, “Infinite-dimensional pseudodifferential operators”, Math. USSR-Izv., 31:3 (1988), 575–601
M.D. Pollock, “Compactification and inflation in the superstring theory from the condensation of gravitino pairs”, Physics Letters B, 199:4 (1987), 509
V.G. Bagrov, I.L. Buchbinder, S.D. Odintsov, “Effective action and spontaneous compactification in Kaluza-Klein quantum R2-gravity”, Physics Letters B, 184:2-3 (1987), 202
I.Ya. Aref'eva, I.V. Volovich, “Hyperbolic manifolds as vacuum solutions in Kaluza-Klein theories”, Nuclear Physics B, 274:3-4 (1986), 619
I.Ya. Aref'eva, B.G. Dragović, I.V. Volovich, “Extra time-like dimensions lead to a vanishing cosmological constant”, Physics Letters B, 177:3-4 (1986), 357
M.D. Pollock, “A positive semi-definite action in a Kaluza-Klein theory with compactification onto time-like extra dimensions”, Physics Letters B, 174:3 (1986), 251
I.Ya. Aref'eva, I.V. Volovich, “Kaluza-Klein theories and the signature of space-time”, Physics Letters B, 164:4-6 (1985), 287

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

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Abstract page:	515
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References:	76
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