Compactifications of F-theory on Calabi-Yau threefolds (II) |
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| Institution: | 1. Department of Mathematics, Duke University, Durham, NC 27708, USA;2. Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA;1. LaBRI, Université de Bordeaux, France;2. Università degli Studi della Basilicata, Italy;1. Instituto de Física Teórica UAM/CSIC, C/Nicolás Cabrera, 13–15, C.U. Cantoblanco, E-28049 Madrid, Spain;2. Dipartimento di Fisica, Università di Milano, and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy;1. Department of Mathematics, Hangzhou Normal University, Hangzhou City, Zhejiang Province, 310036, PR China;2. Université de Lyon, Université Lyon 1; Institut Camille Jordan, UMR 5208 du CNRS, 43, boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France;3. Department of Mathematics, East China Normal University, Shanghai 200241, PR China |
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| Abstract: | We continue our study of compactifications of F-theory on Calabi-Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on elliptically fibered manifolds. As a byproduct we find that string/string duality in six dimensions gets mapped to fiber/base exchange in F-theory. We also construct a number of new N = 1, d = 6 examples of F-theory vacua and study transitions among them. We find that some of these transition points correspond upon further compactification to 4 dimensions to transitions through analogues of Argyres-Douglas points of N = 2 moduli. A key idea in these transitions is the notion of classifying (0,4) fivebranes of heterotic strings. |
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