The global gauge group structure of F-theory compactification with U(1)s

Cvetič, Mirjam; Lin, Ling

doi:10.1007/jhep01(2018)157

Title: The global gauge group structure of F-theory compactification with U(1)s

Journal Article · Wed Jan 31 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2018)157· OSTI ID:1498531

Cvetič, Mirjam ^[1]; Lin, Ling ^[2]

Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Maribor, Maribor (Slovenia). Center for Applied Mathematics and Theoretical Physics
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

We show that F-theory compactifications with abelian gauge factors generally exhibit a non-trivial global gauge group structure. The geometric origin of this structure lies with the Shioda map of the Mordell-Weil generators. This results in constraints on the u(1) charges of non-abelian matter consistent with observations made throughout the literature. Specifically, we find that F-theory models featuring the Standard Model algebra actually realise the precise gauge group [SU(₃) × SU(₂) × U(₁)]/Ζ₆. Furthermore, we explore the relationship between the gauge group structure and geometric (un-)higgsing. In an explicit class of models, we show that, depending on the global group structure, an su(2)⊕u(1) gauge theory can either unhiggs into an SU(₂) × SU(₂) or an SU(₃) × SU(₂) theory. We also study implications of the charge constraints as a criterion for the F-theory ‘swampland’.

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Research Organization:: Univ. of Pennsylvania, Philadelphia (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013528

OSTI ID:: 1498531

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 41 works

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References (101)

G 4 -flux and standard model vacua in F-theory Lin, Ling; Weigand, Timo Nuclear Physics B, Vol. 913 https://doi.org/10.1016/j.nuclphysb.2016.09.008	journal	December 2016
Three-family particle physics models from global F-theory compactifications Cvetič, Mirjam; Klevers, Denis; Peña, Damián Kaloni Mayorga Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)087	journal	August 2015
Constraints on 6D supergravity theories with abelian gauge symmetry Park, Daniel S.; Taylor, Washington Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)141	journal	January 2012
The Tate form on steroids: resolution and higher codimension fibers Lawrie, Craig; Schäfer-Nameki, Sakura Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)061	journal	April 2013
On Compact Analytic Surfaces, III Kodaira, K. The Annals of Mathematics, Vol. 78, Issue 1 https://doi.org/10.2307/1970500	journal	July 1963
Charge lattices and consistency of 6D supergravity Seiberg, Nathan; Taylor, Washington Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)001	journal	June 2011
Non-simply-connected gauge groups and rational points on elliptic curves Aspinwall, Paul S.; Morrison, David R. Journal of High Energy Physics, Vol. 1998, Issue 07 https://doi.org/10.1088/1126-6708/1998/07/012	journal	July 1998
The Weak Gravity Conjecture in three dimensions Montero, Miguel; Shiu, Gary; Soler, Pablo Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)159	journal	October 2016
F-theory compactifications with multiple U(1)-factors: addendum Cvetič, Mirjam; Klevers, Denis; Piragua, Hernan Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)056	journal	December 2013
F-theory and all things rational: surveying U(1) symmetries with rational sections Lawrie, Craig; Schäfer-Nameki, Sakura; Wong, Jin-Mann Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)144	journal	September 2015
D-branes and topological field theories Bershadsky, M.; Vafa, C.; Sadov, V. Nuclear Physics B, Vol. 463, Issue 2-3 https://doi.org/10.1016/0550-3213(96)00026-0	journal	March 1996
Duality between the webs of heterotic and type II vacua Candelasía Font, Philip Nuclear Physics B, Vol. 511, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00410-5	journal	February 1998
Symmetries and strings in field theory and gravity Banks, Tom; Seiberg, Nathan Physical Review D, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevD.83.084019	journal	April 2011
6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces Martini, Gabriella; Taylor, Washington Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)061	journal	June 2015
Monopoles, Duality, and String Theory Polchinski, Joe International Journal of Modern Physics A, Vol. 19, Issue supp01 https://doi.org/10.1142/S0217751X0401866X	journal	February 2004
Four-dimensional string compactifications with D-branes, orientifolds and fluxes Blumenhagen, Ralph; Körs, Boris; Lüst, Dieter Physics Reports, Vol. 445, Issue 1-6 https://doi.org/10.1016/j.physrep.2007.04.003	journal	July 2007
Arithmetic on elliptic threefolds Wazir, Rania Compositio Mathematica, Vol. 140, Issue 03 https://doi.org/10.1112/S0010437X03000381	journal	May 2004
The string landscape, black holes and gravity as the weakest force Arkani-Hamed, Nima; Motl, Luboš; Nicolis, Alberto Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/060	journal	June 2007
F-theory on all toric hypersurface fibrations and its Higgs branches Klevers, Denis; Mayorga Peña, Damián Kaloni; Oehlmann, Paul-Konstantin Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)142	journal	January 2015
Compactifications of F-theory on Calabi-Yau threefolds (II) Morrison, David R.; Vafa, Cumrun Nuclear Physics B, Vol. 476, Issue 3 https://doi.org/10.1016/0550-3213(96)00369-0	journal	September 1996
Evidence for a sublattice weak gravity conjecture Heidenreich, Ben; Reece, Matthew; Rudelius, Tom Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)025	journal	August 2017
Transplanckian axions!? Montero, Miguel; Uranga, Angel M.; Valenzuela, Irene Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)032	journal	August 2015
F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds Morrison, David R.; Park, Daniel S. Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)128	journal	October 2012
Mordell-Weil lattices and Galois representation, I Shioda, Tetsuji Proceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 65, Issue 7 https://doi.org/10.3792/pjaa.65.268	journal	January 1989
Sharpening the weak gravity conjecture with dimensional reduction Heidenreich, Ben; Reece, Matthew; Rudelius, Tom Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)140	journal	February 2016
Three-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models Klevers, Denis; Taylor, Washington Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)171	journal	June 2016
Tuned and non-Higgsable U(1)s in F-theory Wang, Yi-Nan Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)140	journal	March 2017
Yukawas and discrete symmetries in F-theory compactifications without section García-Etxebarria, Iñaki; Grimm, Thomas W.; Keitel, Jan Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)125	journal	November 2014
Evidence for F-theory Vafa, Cumrun Nuclear Physics B, Vol. 469, Issue 3 https://doi.org/10.1016/0550-3213(96)00172-1	journal	June 1996
Compactifications of F-theory on Calabi-Yau threefolds. (I) Morrison, David R.; Vafa, Cumrun Nuclear Physics B, Vol. 473, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00242-8	journal	August 1996
Elliptic fibrations for $S U (5) \times U (1) \times U (1)$ F-theory vacua Borchmann, Jan; Mayrhofer, Christoph; Palti, Eran Physical Review D, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevD.88.046005	journal	August 2013
M-theory, orientifolds and G-flux Dasgupta, Keshav; Rajesh, Govindan; Sethi, Savdeep Journal of High Energy Physics, Vol. 1999, Issue 08 https://doi.org/10.1088/1126-6708/1999/08/023	journal	August 1999
Reading between the lines of four-dimensional gauge theories Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)115	journal	August 2013
The weak gravity conjecture and scalar fields Palti, Eran Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)034	journal	August 2017
The algebra of grand unified theories Baez, John; Huerta, John Bulletin of the American Mathematical Society, Vol. 47, Issue 3 https://doi.org/10.1090/S0273-0979-10-01294-2	journal	March 2010
Anomaly cancellation and abelian gauge symmetries in F-theory Cvetič, Mirjam; Grimm, Thomas W.; Klevers, Denis Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)101	journal	February 2013
Tate’s algorithm and F-theory Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)094	journal	August 2011
On flux quantization in M-theory and the effective action Witten, Edward Journal of Geometry and Physics, Vol. 22, Issue 1 https://doi.org/10.1016/S0393-0440(96)00042-3	journal	April 1997
On Compact Complex Analytic Surfaces, I Kodaira, K. The Annals of Mathematics, Vol. 71, Issue 1 https://doi.org/10.2307/1969881	journal	January 1960
New global F-theory GUTs with U(1) symmetries Braun, Volker; Grimm, Thomas W.; Keitel, Jan Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)154	journal	September 2013
Rational F-theory GUTs without exotics Krippendorf, Sven; Peña, Damián Kaloni Mayorga; Oehlmann, Paul-Konstantin Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)013	journal	July 2014
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$F$ -theory GUTs with $U (1)$ symmetries: Generalities and survey Dolan, Matthew J.; Marsano, Joseph; Saulina, Natalia Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.066008	journal	September 2011
The arithmetic of elliptic fibrations in gauge theories on a circle Grimm, Thomas W.; Kapfer, Andreas; Klevers, Denis Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)112	journal	June 2016
Anomaly equations and intersection theory Park, Daniel S. Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)093	journal	January 2012
Mordell-Weil torsion in the mirror of multi-sections Oehlmann, Paul-Konstantin; Reuter, Jonas; Schimannek, Thorsten Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)031	journal	December 2016
Towards the Standard Model in F-theory: Towards the Standard Model in F-theory Lin, Ling; Weigand, Timo Fortschritte der Physik, Vol. 63, Issue 2 https://doi.org/10.1002/prop.201400072	journal	January 2015
-flux, chiral matter and singularity resolution in F-theory compactifications Krause, Sven; Mayrhofer, Christoph; Weigand, Timo Nuclear Physics B, Vol. 858, Issue 1 https://doi.org/10.1016/j.nuclphysb.2011.12.013	journal	May 2012
Sums over topological sectors and quantization of Fayet–Iliopoulos parameters Hellerman, Simeon; Sharpe, Eric Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 4 https://doi.org/10.4310/ATMP.2011.v15.n4.a7	journal	January 2011
F-theory on genus-one fibrations Braun, Volker; Morrison, David R. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)132	journal	August 2014
On Compact Analytic Surfaces: II Kodaira, K. The Annals of Mathematics, Vol. 77, Issue 3 https://doi.org/10.2307/1970131	journal	May 1963
The generalized Green-Schwarz mechanism for type IIB orientifolds with D3- and D7-branes Plauschinn, Erik Journal of High Energy Physics, Vol. 2009, Issue 05 https://doi.org/10.1088/1126-6708/2009/05/062	journal	May 2009
Mordell-Weil torsion and the global structure of gauge groups in F-theory Mayrhofer, Christoph; Morrison, David R.; Till, Oskar Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)016	journal	October 2014
Geometric singularities and enhanced gauge symmetries Bershadsky, M.; Intriligator, K.; Kachru, S. Nuclear Physics B, Vol. 481, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)90131-5	journal	December 1996
On discrete symmetries and torsion homology in F-theory Mayrhofer, Christoph; Palti, Eran; Till, Oskar Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)029	journal	June 2015
Affine Kac-Moody algebras, CHL strings and the classification of tops Bouchard, Vincent; Skarke, Harald Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 2 https://doi.org/10.4310/ATMP.2003.v7.n2.a1	journal	January 2003
Line operators in the Standard Model Tong, David Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)104	journal	July 2017
Naturalness and the Weak Gravity Conjecture Cheung, Clifford; Remmen, Grant N. Physical Review Letters, Vol. 113, Issue 5 https://doi.org/10.1103/PhysRevLett.113.051601	journal	July 2014
Physics of F-theory compactifications without section Anderson, Lara B.; García-Etxebarria, Iñaki; Grimm, Thomas W. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)156	journal	December 2014
Abelian gauge symmetries and proton decay in global $F$ -theory GUTs Grimm, Thomas W.; Weigand, Timo Physical Review D, Vol. 82, Issue 8 https://doi.org/10.1103/PhysRevD.82.086009	journal	October 2010
Monopoles, Duality, and String Theory Polchinski, Joe Proceedings of the Dirac Centennial Symposium https://doi.org/10.1142/9789812703996_0012	conference	November 2011
The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes Plauschinn, Erik arXiv https://doi.org/10.48550/arxiv.0811.2804	text	January 2008
The Algebra of Grand Unified Theories Baez, John C.; Huerta, John arXiv https://doi.org/10.48550/arxiv.0904.1556	text	January 2009
Charge Lattices and Consistency of 6D Supergravity Seiberg, Nathan; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1103.0019	text	January 2011
Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry Park, Daniel S.; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1110.5916	text	January 2011
Anomaly Equations and Intersection Theory Park, Daniel S. arXiv https://doi.org/10.48550/arxiv.1111.2351	text	January 2011
Anomaly Cancellation And Abelian Gauge Symmetries In F-theory Cvetič, Mirjam; Grimm, Thomas W.; Klevers, Denis arXiv https://doi.org/10.48550/arxiv.1210.6034	text	January 2012
The Tate Form on Steroids: Resolution and Higher Codimension Fibers Lawrie, Craig; Schafer-Nameki, Sakura arXiv https://doi.org/10.48550/arxiv.1212.2949	text	January 2012
New Global F-theory GUTs with U(1) symmetries Braun, Volker; Grimm, Thomas W.; Keitel, Jan arXiv https://doi.org/10.48550/arxiv.1302.1854	text	January 2013
Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua Borchmann, Jan; Mayrhofer, Christoph; Palti, Eran arXiv https://doi.org/10.48550/arxiv.1303.5054	text	January 2013
Reading between the lines of four-dimensional gauge theories Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji arXiv https://doi.org/10.48550/arxiv.1305.0318	text	January 2013
F-Theory Compactifications with Multiple U(1)-Factors: Addendum Cvetic, Mirjam; Klevers, Denis; Piragua, Hernan arXiv https://doi.org/10.48550/arxiv.1307.6425	text	January 2013
Rational F-Theory GUTs without exotics Krippendorf, Sven; Pena, Damian Kaloni Mayorga; Oehlmann, Paul-Konstantin arXiv https://doi.org/10.48550/arxiv.1401.5084	text	January 2014
F-theory on Genus-One Fibrations Braun, Volker; Morrison, David R. arXiv https://doi.org/10.48550/arxiv.1401.7844	text	January 2014
Naturalness and the Weak Gravity Conjecture Cheung, Clifford; Remmen, Grant N. arXiv https://doi.org/10.48550/arxiv.1402.2287	text	January 2014
6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces Martini, Gabriella; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1404.6300	preprint	January 2014
Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory Mayrhofer, Christoph; Morrison, David R.; Till, Oskar arXiv https://doi.org/10.48550/arxiv.1405.3656	text	January 2014
Physics of F-theory compactifications without section Anderson, Lara B.; García-Etxebarria, Iñaki; Grimm, Thomas W. arXiv https://doi.org/10.48550/arxiv.1406.5180	text	January 2014
Yukawas and discrete symmetries in F-theory compactifications without section García-Etxebarria, Iñaki; Grimm, Thomas W.; Keitel, Jan arXiv https://doi.org/10.48550/arxiv.1408.6448	text	January 2014
Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications Mayrhofer, Christoph; Palti, Eran; Till, Oskar arXiv https://doi.org/10.48550/arxiv.1408.6831	text	January 2014
Transplanckian axions !? Montero, Miguel; Uranga, Angel M.; Valenzuela, Irene arXiv https://doi.org/10.48550/arxiv.1503.03886	text	January 2015
F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections Lawrie, Craig; Schafer-Nameki, Sakura; Wong, Jin-Mann arXiv https://doi.org/10.48550/arxiv.1504.05593	text	January 2015
Mordell-Weil Torsion in the Mirror of Multi-Sections Oehlmann, Paul-Konstantin; Reuter, Jonas; Schimannek, Thorsten arXiv https://doi.org/10.48550/arxiv.1604.00011	text	January 2016
Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models Klevers, Denis; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1604.01030	text	January 2016
G4-Flux and Standard Model Vacua in F-theory Lin, Ling; Weigand, Timo arXiv https://doi.org/10.48550/arxiv.1604.04292	text	January 2016
Evidence for a Lattice Weak Gravity Conjecture Heidenreich, Ben; Reece, Matthew; Rudelius, Tom arXiv https://doi.org/10.48550/arxiv.1606.08437	text	January 2016
Line Operators in the Standard Model Tong, David arXiv https://doi.org/10.48550/arxiv.1705.01853	text	January 2017
The Weak Gravity Conjecture and Scalar Fields Palti, Eran arXiv https://doi.org/10.48550/arxiv.1705.04328	text	January 2017
Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes Blumenhagen, Ralph; Kors, Boris; Lust, Dieter arXiv https://doi.org/10.48550/arxiv.hep-th/0610327	text	January 2006
Evidence for F-Theory Vafa, Cumrun arXiv https://doi.org/10.48550/arxiv.hep-th/9602022	text	January 1996
Compactifications of F-Theory on Calabi--Yau Threefolds -- II Morrison, David R.; Vafa, Cumrun arXiv https://doi.org/10.48550/arxiv.hep-th/9603161	text	January 1996
Duality Between the Webs of Heterotic and Type II Vacua Candelas, Philip; Font, Anamaria arXiv https://doi.org/10.48550/arxiv.hep-th/9603170	text	January 1996
Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua Candelas, Philip; Perevalov, Eugene; Rajesh, Govindan arXiv https://doi.org/10.48550/arxiv.hep-th/9704097	text	January 1997
Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves Aspinwall, Paul S.; Morrison, David R. arXiv https://doi.org/10.48550/arxiv.hep-th/9805206	text	January 1998
Arithmetic on Elliptic Threefolds Wazir, Rania arXiv https://doi.org/10.48550/arxiv.math/0112259	preprint	January 2001
Discrete gauge symmetries by Higgsing in four-dimensional F-theory compactifications Mayrhofer, Christoph; Palti, Eran; Till, Oskar Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/jhep12(2014)068	journal	December 2014
Toric geometry and enhanced gauge symmetry of F-theory/heterotic vacua Candelas, Philip; Perevalov, Eugene; Rajesh, Govindan Nuclear Physics B, Vol. 507, Issue 1-2 https://doi.org/10.1016/s0550-3213(97)00563-4	journal	December 1997
Sums over topological sectors and quantization of Fayet-Iliopoulos parameters Hellerman, S.; Sharpe, E. arXiv https://doi.org/10.48550/arxiv.1012.5999	text	January 2010
SU(5) Tops with Multiple U(1)s in F-theory Borchmann, Jan; Mayrhofer, Christoph; Palti, Eran arXiv https://doi.org/10.48550/arxiv.1307.2902	text	January 2013
Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry Cvetic, Mirjam; Klevers, Denis; Piragua, Hernan arXiv https://doi.org/10.48550/arxiv.1310.0463	text	January 2013
F-Theory Vacua with Z_3 Gauge Symmetry Cvetič, Mirjam; Donagi, Ron; Klevers, Denis arXiv https://doi.org/10.48550/arxiv.1502.06953	text	January 2015

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