Open AccessAspects of the hypermultiplet moduli space in string duality
Author(s) -
Paul S. Aspinwall
Publication year - 1998
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/1998/04/019
Subject(s) - heterotic string theory , instanton , moduli space , k3 surface , compactification (mathematics) , string duality , physics , string (physics) , mirror symmetry , string theory , type i string theory , torus , non critical string theory , theoretical physics , pure mathematics , mathematical physics , mathematics , relationship between string theory and quantum field theory , quantum mechanics , geometry , quantum gravity , quantum
A type IIA string (or F-theory) compactified on a Calabi-Yau threefold isbelieved to be dual to a heterotic string on a K3 surface times a 2-torus (oron a K3 surface). We consider how the resulting moduli space of hypermultipletsis identified between these two pictures in the case of the E8xE8 heteroticstring. As examples we discuss SU(2)-bundles and G2-bundles on the K3 surfaceand the case of point-like instantons. We are lead to a rather beautifulidentification between the integral cohomology of the Calabi-Yau threefold andsome integral structures on the heterotic side somewhat reminiscent of mirrorsymmetry. We discuss the consequences for probing nonperturbative effects inthe both the type IIA string and the heterotic string.Comment: 27 Pages, LaTeX 2e, 2 separate figure
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