Searching for three-generation Calabi-Yau manifolds
Publication
, Journal Article
Aspinwall, PS; Greene, BR; Kirklin, KH; Miron, PJ
Published in: Nuclear Physics Section B
January 1, 1987
All possible Calabi-Yau manifolds realisable as complete intersections and quotients of complete intersections by projectively-inherited symmetries are considered. We develop a stringent set of criteria with which to exhaustively search this huge class for three-generation manifolds. We find only one manifold meeting our conditions - namely the first manifold discovered by Yau. In addition it is shown that all known three-generation Calabi-Yau manifolds are either diffeomorphic to this one example or ill-defined. © 1987.
Duke Scholars
Published In
Nuclear Physics Section B
DOI
ISSN
0550-3213
Publication Date
January 1, 1987
Volume
294
Issue
C
Start / End Page
193 / 222
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0105 Mathematical Physics
Citation
APA
Chicago
ICMJE
MLA
NLM
Aspinwall, P. S., Greene, B. R., Kirklin, K. H., & Miron, P. J. (1987). Searching for three-generation Calabi-Yau manifolds. Nuclear Physics Section B, 294(C), 193–222. https://doi.org/10.1016/0550-3213(87)90579-7
Aspinwall, P. S., B. R. Greene, K. H. Kirklin, and P. J. Miron. “Searching for three-generation Calabi-Yau manifolds.” Nuclear Physics Section B 294, no. C (January 1, 1987): 193–222. https://doi.org/10.1016/0550-3213(87)90579-7.
Aspinwall PS, Greene BR, Kirklin KH, Miron PJ. Searching for three-generation Calabi-Yau manifolds. Nuclear Physics Section B. 1987 Jan 1;294(C):193–222.
Aspinwall, P. S., et al. “Searching for three-generation Calabi-Yau manifolds.” Nuclear Physics Section B, vol. 294, no. C, Jan. 1987, pp. 193–222. Scopus, doi:10.1016/0550-3213(87)90579-7.
Aspinwall PS, Greene BR, Kirklin KH, Miron PJ. Searching for three-generation Calabi-Yau manifolds. Nuclear Physics Section B. 1987 Jan 1;294(C):193–222.
Published In
Nuclear Physics Section B
DOI
ISSN
0550-3213
Publication Date
January 1, 1987
Volume
294
Issue
C
Start / End Page
193 / 222
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0105 Mathematical Physics