
Non-simply-connected gauge groups and rational points on elliptic curves
Publication
, Journal Article
Aspinwall, PS; Morrison, DR
Published in: Journal of High Energy Physics
January 1, 1998
We consider the F-theory description of non-simply-connected gauge groups appearing in the E8 × E8 heterotic string. The analysis is closely tied to the arithmetic of torsion points on an elliptic curve. The general form of the corresponding elliptic fibration is given for all finite subgroups of E8 which are applicable in this context. We also study the closely-related question of point-like instantons on a K3 surface whose holonomy is a finite group. As an example we consider the case of the heterotic string on a K3 surface having the E8 gauge symmetry broken to SU(9)/ℤ3 or (E6 × SU(3))/ℤ3 by point-like instantons with ℤ3 holonomy.
Duke Scholars
Published In
Journal of High Energy Physics
DOI
ISSN
1029-8479
Publication Date
January 1, 1998
Volume
1998
Issue
7
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5106 Nuclear and plasma 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., & Morrison, D. R. (1998). Non-simply-connected gauge groups and rational points on elliptic curves. Journal of High Energy Physics, 1998(7). https://doi.org/10.1088/1126-6708/1998/07/012
Aspinwall, P. S., and D. R. Morrison. “Non-simply-connected gauge groups and rational points on elliptic curves.” Journal of High Energy Physics 1998, no. 7 (January 1, 1998). https://doi.org/10.1088/1126-6708/1998/07/012.
Aspinwall PS, Morrison DR. Non-simply-connected gauge groups and rational points on elliptic curves. Journal of High Energy Physics. 1998 Jan 1;1998(7).
Aspinwall, P. S., and D. R. Morrison. “Non-simply-connected gauge groups and rational points on elliptic curves.” Journal of High Energy Physics, vol. 1998, no. 7, Jan. 1998. Scopus, doi:10.1088/1126-6708/1998/07/012.
Aspinwall PS, Morrison DR. Non-simply-connected gauge groups and rational points on elliptic curves. Journal of High Energy Physics. 1998 Jan 1;1998(7).

Published In
Journal of High Energy Physics
DOI
ISSN
1029-8479
Publication Date
January 1, 1998
Volume
1998
Issue
7
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5106 Nuclear and plasma physics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0105 Mathematical Physics