An instanton toolbox for F-theory model building
Abstract
Several dimensionful parameters needed for model building can be engineered in a certain class of SU(5) F-theory GUTs by adding extra singlet fields which are localized along pairwise intersections of D7-branes. The values of these parameters, however, depend on dynamics external to the GUT which causes the singlets to acquire suitable masses or expectation values. In this note, we demonstrate that D3-instantons which wrap one of the intersecting D7's can provide precisely the needed dynamics to generate several important scales, including the supersymmetry-breaking scale and the right-handed neutrino mass. Furthermore, these instantons seem unable to directly generate the μ term suggesting that, at least in this class of models, it should perhaps be tied to one of the other scales in the problem. More specifically, we study the simple system consisting of a pair of D7-branes wrapping del Pezzo surfaces which intersect along a curve Σ of genus 0 or 1 and classify all instanton configurations which can potentially contribute to the superpotential. This allows one to formulate topological conditions which must be imposed on Σ for various model-building applications.
Additional Information
© SISSA 2010. Received: 23 July 2009. Revised: 21 December 2009. Accepted: 22 December 2009. Published online: 30 January 2010. We are grateful to J. Heckman and C. Vafa for useful discussions and collaboration on the earlier work [7]. We are also grateful to M. Cvetic, R. Richter, and especially I. Garcia- Etxebarria for detailed discussion of their works [34] and [35]. The work of JM and SSN was supported by Caltech John A. McCone Postdoctoral Fellowships. The work of NS was supported in part by the DOE-grant DE-FG03-92-ER40701.Attached Files
Published - Marsano2010p7112J_High_Energy_Phys.pdf
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Additional details
- Eprint ID
- 17611
- Resolver ID
- CaltechAUTHORS:20100301-083717318
- DE-FG03-92-ER40701
- Department of Energy
- Caltech John A. McCone Postdoctoral Fellowships
- Created
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2010-03-02Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field