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Title: Gaugino Condensation and Nonperturbative Superpotentials in F-Theory

Abstract

There are two known sources of nonperturbative superpotentials for Kahler moduli in type IIB orientifolds, or F-theory compactifications on Calabi-Yau fourfolds, with flux: Euclidean brane instantons and low-energy dynamics in D7 brane gauge theories. The first class of effects, Euclidean D3 branes which lift in M-theory to M5 branes wrapping divisors of arithmetic genus 1 in the fourfold, is relatively well understood. The second class has been less explored. In this paper, we consider the explicit example of F-theory on K3 x K3 with flux. The fluxes lift the D7 brane matter fields, and stabilize stacks of D7 branes at loci of enhanced gauge symmetry. The resulting theories exhibit gaugino condensation, and generate a nonperturbative superpotential for Kahler moduli. The authors describe how the relevant geometries in general contain cycles of arithmetic genus {chi} {ge} 1 (and how {chi} > 1 divisors can contribute to the superpotential, in the presence of flux). This second class of effects is likely to be important in finding even larger classes of models where the KKLT mechanism of moduli stabilization can be realized. They also address various claims about the situation for IIB models with a single Kahler modulus.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Science (US)
OSTI Identifier:
829699
Report Number(s):
SLAC-PUB-10502
TRN: US0405811
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 5 Aug 2004
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; INSTANTONS; STABILIZATION; SYMMETRY

Citation Formats

Gorlich, L. Gaugino Condensation and Nonperturbative Superpotentials in F-Theory. United States: N. p., 2004. Web. doi:10.2172/829699.
Gorlich, L. Gaugino Condensation and Nonperturbative Superpotentials in F-Theory. United States. https://doi.org/10.2172/829699
Gorlich, L. Thu . "Gaugino Condensation and Nonperturbative Superpotentials in F-Theory". United States. https://doi.org/10.2172/829699. https://www.osti.gov/servlets/purl/829699.
@article{osti_829699,
title = {Gaugino Condensation and Nonperturbative Superpotentials in F-Theory},
author = {Gorlich, L},
abstractNote = {There are two known sources of nonperturbative superpotentials for Kahler moduli in type IIB orientifolds, or F-theory compactifications on Calabi-Yau fourfolds, with flux: Euclidean brane instantons and low-energy dynamics in D7 brane gauge theories. The first class of effects, Euclidean D3 branes which lift in M-theory to M5 branes wrapping divisors of arithmetic genus 1 in the fourfold, is relatively well understood. The second class has been less explored. In this paper, we consider the explicit example of F-theory on K3 x K3 with flux. The fluxes lift the D7 brane matter fields, and stabilize stacks of D7 branes at loci of enhanced gauge symmetry. The resulting theories exhibit gaugino condensation, and generate a nonperturbative superpotential for Kahler moduli. The authors describe how the relevant geometries in general contain cycles of arithmetic genus {chi} {ge} 1 (and how {chi} > 1 divisors can contribute to the superpotential, in the presence of flux). This second class of effects is likely to be important in finding even larger classes of models where the KKLT mechanism of moduli stabilization can be realized. They also address various claims about the situation for IIB models with a single Kahler modulus.},
doi = {10.2172/829699},
url = {https://www.osti.gov/biblio/829699}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2004},
month = {8}
}