Built on

E. Witten, An SU(2) Anomaly
1982
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B. R. Greene, D. R. Morrison and M. Plesser, Mirror manifolds in higher dimension
1995
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K. Becker and M. Becker, M theory on eight manifolds
1996
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S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compactifications
1996
Earlier work this paper cites.
E. Witten, On flux quantization in M theory and the effective action
1997
Earlier work this paper cites.
G. Curio and R. Y. Donagi, Moduli in N=1 heterotic / F theory duality
1998
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P. Candelas and A. Font, Duality between the webs of heterotic and type II vacua
1998
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K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G - flux
1999
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S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four-folds
2000
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R. Wazir, Arithmetic on elliptic threefolds
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V. Bouchard and H. Skarke, Affine Kac-Moody algebras, CHL strings and the classification of tops
2003
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C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - I
Original
2009
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C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
Original
2009
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T. Weigand, Lectures on F-theory compactifications and model building
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R. Donagi and M. Wijnholt, Model Building with F-Theory
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2011
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J. Marsano and S. Schafer-Nameki, Yukawas, G-flux, and Spectral Covers from Resolved Calabi- Yau’s
Original
2011
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2016

G4-Flux and Standard Model Vacua in F-theory

Lin, Ling, Weigand, Timo

Understand

We study the geometry of gauge fluxes in four-dimensional F-theory vacua with gauge group SU(3)xSU(2)xU(1)xU(1) and its implications for phenomenology.

The models are defined by a previously introduced class of elliptic fibrations whose fibre is given as a cubic hypersurface in ${\rm Bl}_2{\mathbb P}^2$, with the non-abelian gauge group factors SU(3)xSU(2) engineered torically via the top construction.
To describe gauge fluxes on these fibrations we provide a classification of the primary vertical middle cohomology group in a fashion valid for any choice of base space.
Using the ideal theoretic technique of primary decomposition we compute the cohomology classes of the matter surfaces associated with states charged under the non-abelian gauge group.

Built on

E. Witten, An SU(2) Anomaly
1982
Earlier work this paper cites.
B. R. Greene, D. R. Morrison and M. Plesser, Mirror manifolds in higher dimension
1995
Earlier work this paper cites.
K. Becker and M. Becker, M theory on eight manifolds
1996
Earlier work this paper cites.
S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compactifications
1996
Earlier work this paper cites.
E. Witten, On flux quantization in M theory and the effective action
1997
Earlier work this paper cites.
G. Curio and R. Y. Donagi, Moduli in N=1 heterotic / F theory duality
1998
Earlier work this paper cites.
P. Candelas and A. Font, Duality between the webs of heterotic and type II vacua
1998
Earlier work this paper cites.
K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G - flux
1999
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four-folds
2000
Earlier work this paper cites.
R. Wazir, Arithmetic on elliptic threefolds
2001
Earlier work this paper cites.
V. Bouchard and H. Skarke, Affine Kac-Moody algebras, CHL strings and the classification of tops
2003
Earlier work this paper cites.
C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - I
Original
2009
Earlier work this paper cites.
C. Beasley, J. J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
Original
2009
Earlier work this paper cites.
T. Weigand, Lectures on F-theory compactifications and model building
Original
2010
Earlier work this paper cites.
R. Donagi and M. Wijnholt, Model Building with F-Theory
Original
2011
Earlier work this paper cites.
J. Marsano and S. Schafer-Nameki, Yukawas, G-flux, and Spectral Covers from Resolved Calabi- Yau’s
Original
2011
Earlier work this paper cites.