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December 2014 Building blocks for generalized heterotic/F-theory duality
Jonathan J. Heckman, Hai Lin, Shing-Tung Yau
Adv. Theor. Math. Phys. 18(6): 1463-1503 (December 2014).


In this note we propose a generalization of heterotic/F-theory duality. We introduce a set of non-compact building blocks which we glue together to reach compact examples of generalized duality pairs. The F-theory building blocks consist of non-compact elliptically fibered Calabi-Yau fourfolds which also admit a $K3$ fibration. The compact elliptic model obtained by gluing need not have a globally defined $K3$ fibration. By replacing the $K3$ fiber of each F-theory building block with a $T^2$, we reach building blocks in a heterotic dual vacuum which includes a position dependent dilaton and three-form flux. These building blocks are glued together to reach a heterotic flux background. We argue that in these vacua, the gauge fields of the heterotic string become localized, and remain dynamical even when gravity decouples. This enables a heterotic dual for the hyperflux GUT breaking mechanism which has recently figured prominently in F-theory GUT models. We illustrate our general proposal with some explicit examples.


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Jonathan J. Heckman. Hai Lin. Shing-Tung Yau. "Building blocks for generalized heterotic/F-theory duality." Adv. Theor. Math. Phys. 18 (6) 1463 - 1503, December 2014.


Published: December 2014
First available in Project Euclid: 4 December 2014

zbMATH: 1308.81147
MathSciNet: MR3285614

Rights: Copyright © 2014 International Press of Boston

Vol.18 • No. 6 • December 2014
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