Stringy cosmic strings and noncompact Calabi-Yau manifolds

Brian R. Greene; Alfred Shapere; Cumrun Vafa; Shing Tung Yau

doi:10.1016/0550-3213(90)90248-C

Stringy cosmic strings and noncompact Calabi-Yau manifolds

Brian R. Greene, Alfred Shapere, Cumrun Vafa, Shing Tung Yau

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

308 Scopus citations

Abstract

We describe string vacuum configurations for which the radii (moduli) of the internal compact space vary in four-dimensional space-time, focusing on configurations which have the interpretation of cosmic strings. We will show that some of them admit Ricci-flat Kähler metrics (i.e. they correspond to noncompact Calabi-Yau manifolds), thus providing new vacuum solutions to the full string theory. One novel feature of some of these solutions is that the internal space decompactifies near the core of the cosmic string, without producing any physical singularities.

Original language	English
Pages (from-to)	1-36
Number of pages	36
Journal	Nuclear Physics B
Volume	337
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(90)90248-C
State	Published - Jun 11 1990

Bibliographical note

Funding Information:
We wish to thank R. Brandenberger, R. Davis, S. Giddings, M. Grisaru, E. Simmons, N. Warner, F. Wilczek, E. Witten and D. Zanon for useful discussions. The research of B.G. was supported by DE-FGO2-88ER25065, A.S. by DOE grant No. DE-ACO2-76ER0-2220, and C.V. by the Alfred P. Sloan Foundation and by the NSF grants PHY-89-57162 and PHY-87-14654.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(90)90248-C

Cite this

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abstract = "We describe string vacuum configurations for which the radii (moduli) of the internal compact space vary in four-dimensional space-time, focusing on configurations which have the interpretation of cosmic strings. We will show that some of them admit Ricci-flat K{\"a}hler metrics (i.e. they correspond to noncompact Calabi-Yau manifolds), thus providing new vacuum solutions to the full string theory. One novel feature of some of these solutions is that the internal space decompactifies near the core of the cosmic string, without producing any physical singularities.",

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AU - Shapere, Alfred

AU - Vafa, Cumrun

AU - Yau, Shing Tung

N1 - Funding Information: We wish to thank R. Brandenberger, R. Davis, S. Giddings, M. Grisaru, E. Simmons, N. Warner, F. Wilczek, E. Witten and D. Zanon for useful discussions. The research of B.G. was supported by DE-FGO2-88ER25065, A.S. by DOE grant No. DE-ACO2-76ER0-2220, and C.V. by the Alfred P. Sloan Foundation and by the NSF grants PHY-89-57162 and PHY-87-14654.

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N2 - We describe string vacuum configurations for which the radii (moduli) of the internal compact space vary in four-dimensional space-time, focusing on configurations which have the interpretation of cosmic strings. We will show that some of them admit Ricci-flat Kähler metrics (i.e. they correspond to noncompact Calabi-Yau manifolds), thus providing new vacuum solutions to the full string theory. One novel feature of some of these solutions is that the internal space decompactifies near the core of the cosmic string, without producing any physical singularities.

AB - We describe string vacuum configurations for which the radii (moduli) of the internal compact space vary in four-dimensional space-time, focusing on configurations which have the interpretation of cosmic strings. We will show that some of them admit Ricci-flat Kähler metrics (i.e. they correspond to noncompact Calabi-Yau manifolds), thus providing new vacuum solutions to the full string theory. One novel feature of some of these solutions is that the internal space decompactifies near the core of the cosmic string, without producing any physical singularities.

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Stringy cosmic strings and noncompact Calabi-Yau manifolds

Abstract

Bibliographical note

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