The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
The fate of four dimensions
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“For dimension n > 2, finite volume hyperbolic n-manifolds do not come in continuous families, and there is a positive gapped Hessian for -gR deformed along modes orthogonal to the conformal factor.”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [15]
In the citing paper
“negative curvature spaces enjoy rigidity properties that enhance stability [14][15][16], as does the warped product structure [17,18].”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [15]
In the citing paper
“Hyperbolic manifolds are well-studied mathematically, with an important rigidity property at fixed volume.”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [15]
In the citing paper
“Second order metric variations are highly constrained by the rigidity properties of negatively curved Einstein spaces [14][15][16] and effects of the warp factor.”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [15]
In the citing paper
“The boundary conditions for gluing hyperbolic polygons are naturally set at their facets, which are totally geodesic submanifolds [15].”
From Hyperbolic compactification of M-theory and de Sitter quantum gravity (2022) · cites this paper as [15]
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Citations
Cites
Large Mass Hierarchy from a Small Extra Dimension
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3370 · Cited by 9,227
Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L., Spergel, D. N., Tucker, G. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377253 · Cited by 4,860
Cosmological consequences of a rolling homogeneous scalar field
Ratra, B., & Peebles, P. J. E. (1988) · Physical Review D · doi:10.1103/physrevd.37.3406 · Cited by 4,310 · cited 1×
“This problem has been investigated by Ratra and Peebles in [26].”
Gravitational effects on and of vacuum decay
Coleman, S., & De Luccia, F. (1980) · Physical Review D · doi:10.1103/physrevd.21.3305 · Cited by 1,537 · cited 1×
“Theory typically predicts either a vanishing cosmological constant, but at the same time unrealistic phenomenology such as unbroken supersymmetry, or, with broken supersymmetry, predicts a cosmological constant differing by a factor at least 1060 from that apparently implied by observation.”
BackgroundIs the superstring weakly coupled?
Dine, M., & Seiberg, N. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90927-x · Cited by 392
Disturbing Implications of a Cosmological Constant
Dyson, L., Kleban, M., & Susskind, L. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/10/011 · Cited by 338
The trouble with de Sitter space
Goheer, N., Kleban, M., & Susskind, L. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/07/056 · Cited by 281
Cosmological breaking of supersymmetry
BANKS, T. (2001) · International Journal of Modern Physics A · doi:10.1142/s0217751x01003998 · Cited by 248
Is There Really a de Sitter/CFT Duality
Dyson, L., Lindesay, J., & Susskind, L. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/08/045 · Cited by 165
Research works printed but not linked: 15
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- K. Dasgupta, 1999, J. High Energy Phys., 08, 023, 10.1088/1126-6708/1999/08/023 · DOI
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Cited by
Spontaneous decompactification
Giddings, S. B., & Myers, R. C. (2004) · Physical Review D · doi:10.1103/physrevd.70.046005 · Cited by 59
Self-citationHyperbolic compactification of M-theory and de Sitter quantum gravity
De Luca, G. B., Silverstein, E., & Torroba, G. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.3.083 · Cited by 39
Metadata
- Authors
- Giddings, S. B.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-07-28
- Volume
- 68
- Issue
- 2
- ISSN
- 0556-2821
- 1089-4918
- Cited by
- 74
- References
- 9
- Language
- en
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- Giddings, S. B. (2003). The fate of four dimensions. Physical Review D. https://doi.org/10.1103/physrevd.68.026006
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
