Math @ Duke

Publications [#243288] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Katz, S; Morrison, DR, Lie groups, CalabiYau threefolds, and Ftheory,
Advances in Theoretical and Mathematical Physics, vol. 4 no. 1
(January, 2000),
pp. 124, ISSN 10950761 [hepth/0002012]
(last updated on 2019/04/18)
Abstract: The Ftheory vacuum constructed from an elliptic CalabiYau threefold with section yields an effective sixdimensional theory. The Lie algebra of the gauge sector of this theory and its representation on the space of massless hypermultiplets are shown to be determined by the intersection theory of the homology of the CalabiYau threefold. (Similar statements hold for Mtheory and the type IIA string compactified on the threefold, where there is also a dependence on the expectation values of the RamondRamond fields.) We describe general rules for computing the hypermultiplet spectrum of any Ftheory vacuum, including vacua with nonsimplylaced gauge groups. The case of monodromy acting on a curve of Aeven singularities is shown to be particularly interesting and leads to some unexpected rules for how 2branes are allowed to wrap certain 2cycles. We also review the peculiar numerical predictions for the geometry of elliptic CalabiYau threefolds with section which arise from anomaly cancellation in six dimensions.


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