Math @ Duke

Publications [#243284] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Morrison, DR, Nonsimplyconnected gauge groups and rational points on elliptic curves,
Journal of High Energy Physics, vol. 1998 no. 7
(December, 1998),
pp. 012012, Springer Nature, ISSN 10298479 [hepth/9805206], [doi]
(last updated on 2019/06/20)
Abstract: We consider the Ftheory description of nonsimplyconnected gauge groups appearing in the E8× E8heterotic 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 E8which are applicable in this context. We also study the closelyrelated question of pointlike 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 E8gauge symmetry broken to SU(9)/ℤ3or (E6× SU(3))/ℤ3by pointlike instantons with ℤ3holonomy.


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