An F-theory realization of the chiral MSSM with Z2-parity
Abstract
Using F-theory we construct 4D N=1 SUGRA theories with the Standard Model gauge group, three chiral generations, and matter parity in order to forbid all dimension four baryon and lepton number violating operators. The underlying geometries are derived by constructing smooth genus-one fibered Calabi-Yau fourfolds using toric tops that have a Jacobian fibration with rank one Mordell-Weil group and SU(3) × SU(2) singularities. The necessary gauge backgrounds on the smooth fourfolds are shown to be fully compatible with the quantization condition, including positive integer D3-tadpoles. This construction realizes for the first time a consistent UV completion of an MSSM-like model with matter parity in F-theory. Moreover our construction is general enough to also exhibit other relevant Z2 charge extensions of the MSSM such as lepton and baryon parity. Such models however are rendered inconsistent by non-integer fluxes, which are necessary for producing the exact MSSM chiral spectrum. As a result, these inconsistencies turn out to be intimately related to field theory considerations regarding a UV-embedding of the Z2 into a U(1) and the resulting discrete anomalies.
- Authors:
-
- Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1498542
- Grant/Contract Number:
- SC0013528
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 9; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Discrete Symmetries; F-Theory; Flux compactifications; Supersymmetric Standard Model
Citation Formats
Cvetič, Mirjam, Lin, Ling, Liu, Muyang, and Oehlmann, Paul-Konstantin. An F-theory realization of the chiral MSSM with Z2-parity. United States: N. p., 2018.
Web. doi:10.1007/jhep09(2018)089.
Cvetič, Mirjam, Lin, Ling, Liu, Muyang, & Oehlmann, Paul-Konstantin. An F-theory realization of the chiral MSSM with Z2-parity. United States. https://doi.org/10.1007/jhep09(2018)089
Cvetič, Mirjam, Lin, Ling, Liu, Muyang, and Oehlmann, Paul-Konstantin. Mon .
"An F-theory realization of the chiral MSSM with Z2-parity". United States. https://doi.org/10.1007/jhep09(2018)089. https://www.osti.gov/servlets/purl/1498542.
@article{osti_1498542,
title = {An F-theory realization of the chiral MSSM with Z2-parity},
author = {Cvetič, Mirjam and Lin, Ling and Liu, Muyang and Oehlmann, Paul-Konstantin},
abstractNote = {Using F-theory we construct 4D N=1 SUGRA theories with the Standard Model gauge group, three chiral generations, and matter parity in order to forbid all dimension four baryon and lepton number violating operators. The underlying geometries are derived by constructing smooth genus-one fibered Calabi-Yau fourfolds using toric tops that have a Jacobian fibration with rank one Mordell-Weil group and SU(3) × SU(2) singularities. The necessary gauge backgrounds on the smooth fourfolds are shown to be fully compatible with the quantization condition, including positive integer D3-tadpoles. This construction realizes for the first time a consistent UV completion of an MSSM-like model with matter parity in F-theory. Moreover our construction is general enough to also exhibit other relevant Z2 charge extensions of the MSSM such as lepton and baryon parity. Such models however are rendered inconsistent by non-integer fluxes, which are necessary for producing the exact MSSM chiral spectrum. As a result, these inconsistencies turn out to be intimately related to field theory considerations regarding a UV-embedding of the Z2 into a U(1) and the resulting discrete anomalies.},
doi = {10.1007/jhep09(2018)089},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2018,
place = {United States},
year = {Mon Sep 17 00:00:00 EDT 2018},
month = {Mon Sep 17 00:00:00 EDT 2018}
}
Web of Science
Works referenced in this record:
G 4 -flux and standard model vacua in F-theory
journal, December 2016
- Lin, Ling; Weigand, Timo
- Nuclear Physics B, Vol. 913
Three-family particle physics models from global F-theory compactifications
journal, August 2015
- Cvetič, Mirjam; Klevers, Denis; Peña, Damián Kaloni Mayorga
- Journal of High Energy Physics, Vol. 2015, Issue 8
U(1) symmetries in F-theory GUTs with multiple sections
journal, March 2013
- Mayrhofer, Christoph; Palti, Eran; Weigand, Timo
- Journal of High Energy Physics, Vol. 2013, Issue 3
Froggatt-Nielsen meets Mordell-Weil: a phenomenological survey of global F-theory GUTs with U(1)s
journal, November 2015
- Krippendorf, Sven; Schäfer-Nameki, Sakura; Wong, Jin-Mann
- Journal of High Energy Physics, Vol. 2015, Issue 11
Gauge fluxes in F-theory and type IIB orientifolds
journal, August 2012
- Krause, Sven; Mayrhofer, Christoph; Weigand, Timo
- Journal of High Energy Physics, Vol. 2012, Issue 8
Breaking GUT groups in F-theory
journal, January 2011
- Donagi, Ron; Wijnholt, Martijn
- Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 6
F-theory and all things rational: surveying U(1) symmetries with rational sections
journal, September 2015
- Lawrie, Craig; Schäfer-Nameki, Sakura; Wong, Jin-Mann
- Journal of High Energy Physics, Vol. 2015, Issue 9
Weak coupling limit of F-theory models with MSSM spectrum and massless U(1)’s
journal, March 2018
- Mayorga Peña, Damián Kaloni; Valandro, Roberto
- Journal of High Energy Physics, Vol. 2018, Issue 3
Duality between the webs of heterotic and type II vacua
journal, February 1998
- Candelasía Font, Philip
- Nuclear Physics B, Vol. 511, Issue 1-2
Froggatt-Nielsen models from E 8 in F-theory GUTs
journal, January 2010
- Dudas, Emilian; Palti, Eran
- Journal of High Energy Physics, Vol. 2010, Issue 1
A Global SU(5) F-theory model with Wilson line breaking
journal, January 2013
- Marsano, J.; Clemens, H.; Pantev, T.
- Journal of High Energy Physics, Vol. 2013, Issue 1
Constraints on low-dimensional string compactifications
journal, November 1996
- Sethi, S.; Vafa, C.; Witten, E.
- Nuclear Physics B, Vol. 480, Issue 1-2
The global gauge group structure of F-theory compactification with U(1)s
journal, January 2018
- Cvetič, Mirjam; Lin, Ling
- Journal of High Energy Physics, Vol. 2018, Issue 1
Gauge backgrounds and zero-mode counting in F-theory
journal, November 2017
- Bies, Martin; Mayrhofer, Christoph; Weigand, Timo
- Journal of High Energy Physics, Vol. 2017, Issue 11
F-theory on all toric hypersurface fibrations and its Higgs branches
journal, January 2015
- Klevers, Denis; Mayorga Peña, Damián Kaloni; Oehlmann, Paul-Konstantin
- Journal of High Energy Physics, Vol. 2015, Issue 1
The toric SO(10) F-theory landscape
journal, December 2017
- Buchmüller, W.; Dierigl, M.; Oehlmann, P. -K.
- Journal of High Energy Physics, Vol. 2017, Issue 12
Compactifications of F-theory on Calabi-Yau threefolds (II)
journal, September 1996
- Morrison, David R.; Vafa, Cumrun
- Nuclear Physics B, Vol. 476, Issue 3
F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds
journal, October 2012
- Morrison, David R.; Park, Daniel S.
- Journal of High Energy Physics, Vol. 2012, Issue 10
Lectures on F-theory compactifications and model building
journal, October 2010
- Weigand, Timo
- Classical and Quantum Gravity, Vol. 27, Issue 21
Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries
journal, July 2017
- Braun, Volker; Cvetič, Mirjam; Donagi, Ron
- Journal of High Energy Physics, Vol. 2017, Issue 7
Model building with $F$-theory
journal, January 2011
- Donagi, Ron; Wijnholt, Martijn
- Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 5
GUTs and exceptional branes in F-theory — II. Experimental predictions
journal, January 2009
- Beasley, Chris; Heckman, Jonathan J.; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2009, Issue 01
M-theory, orientifolds and G-flux
journal, August 1999
- Dasgupta, Keshav; Rajesh, Govindan; Sethi, Savdeep
- Journal of High Energy Physics, Vol. 1999, Issue 08
GUTs and exceptional branes in F-theory — I
journal, January 2009
- Beasley, Chris; Heckman, Jonathan J.; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2009, Issue 01
Models of Particle Physics from type iib String Theory and F-Theory: a Review
journal, March 2013
- Maharana, Anshuman; Palti, Eran
- International Journal of Modern Physics A, Vol. 28, Issue 05n06
Discrete gauge symmetry anomalies
journal, May 1991
- Ibáñez, L. E.; Ross, G. G.
- Physics Letters B, Vol. 260, Issue 3-4
Fluxes in F-theory compactifications on genus-one fibrations
journal, January 2016
- Lin, Ling; Mayrhofer, Christoph; Till, Oskar
- Journal of High Energy Physics, Vol. 2016, Issue 1
A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
journal, January 2016
- Taylor, Washington; Wang, Yi-Nan
- Journal of High Energy Physics, Vol. 2016, Issue 1
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors
journal, December 2013
- Braun, Volker; Grimm, Thomas W.; Keitel, Jan
- Journal of High Energy Physics, Vol. 2013, Issue 12
On the standard model group in F-theory
journal, June 2014
- Choi, Kang-Sin
- The European Physical Journal C, Vol. 74, Issue 6
Terminal singularities, Milnor numbers, and matter in F-theory
journal, January 2018
- Arras, Philipp; Grassi, Antonella; Weigand, Timo
- Journal of Geometry and Physics, Vol. 123
Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors
journal, April 2014
- Cvetič, Mirjam; Grassi, Antonella; Klevers, Denis
- Journal of High Energy Physics, Vol. 2014, Issue 4
Non-Abelian discrete gauge symmetries in F-theory
journal, February 2016
- Grimm, Thomas W.; Pugh, Tom G.; Regalado, Diego
- Journal of High Energy Physics, Vol. 2016, Issue 2
Anomaly cancellation and abelian gauge symmetries in F-theory
journal, February 2013
- Cvetič, Mirjam; Grimm, Thomas W.; Klevers, Denis
- Journal of High Energy Physics, Vol. 2013, Issue 2
Discrete gauge symmetries and the origin of baryon and lepton number conservation in supersymmetric versions of the standard model
journal, January 1992
- Ibáñez, Luis E.; Ross, Graham G.
- Nuclear Physics B, Vol. 368, Issue 1
On flux quantization in M-theory and the effective action
journal, April 1997
- Witten, Edward
- Journal of Geometry and Physics, Vol. 22, Issue 1
Rational F-theory GUTs without exotics
journal, July 2014
- Krippendorf, Sven; Peña, Damián Kaloni Mayorga; Oehlmann, Paul-Konstantin
- Journal of High Energy Physics, Vol. 2014, Issue 7
Discrete gauge symmetries by Higgsing in four-dimensional F-theory compactifications
journal, December 2014
- Mayrhofer, Christoph; Palti, Eran; Till, Oskar
- Journal of High Energy Physics, Vol. 2014, Issue 12
R-Parity-violating supersymmetry
journal, November 2005
- Barbier, R.; Bérat, C.; Besançon, M.
- Physics Reports, Vol. 420, Issue 1-6
The arithmetic of elliptic fibrations in gauge theories on a circle
journal, June 2016
- Grimm, Thomas W.; Kapfer, Andreas; Klevers, Denis
- Journal of High Energy Physics, Vol. 2016, Issue 6
Mordell-Weil torsion in the mirror of multi-sections
journal, December 2016
- Oehlmann, Paul-Konstantin; Reuter, Jonas; Schimannek, Thorsten
- Journal of High Energy Physics, Vol. 2016, Issue 12
Towards the Standard Model in F-theory: Towards the Standard Model in F-theory
journal, January 2015
- Lin, Ling; Weigand, Timo
- Fortschritte der Physik, Vol. 63, Issue 2
F-theory on genus-one fibrations
journal, August 2014
- Braun, Volker; Morrison, David R.
- Journal of High Energy Physics, Vol. 2014, Issue 8
-flux, chiral matter and singularity resolution in F-theory compactifications
journal, May 2012
- Krause, Sven; Mayrhofer, Christoph; Weigand, Timo
- Nuclear Physics B, Vol. 858, Issue 1
On discrete symmetries and torsion homology in F-theory
journal, June 2015
- Mayrhofer, Christoph; Palti, Eran; Till, Oskar
- Journal of High Energy Physics, Vol. 2015, Issue 6
Affine Kac-Moody algebras, CHL strings and the classification of tops
journal, January 2003
- Bouchard, Vincent; Skarke, Harald
- Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 2
Discrete gauge symmetry in continuum theories
journal, March 1989
- Krauss, Lawrence M.; Wilczek, Frank
- Physical Review Letters, Vol. 62, Issue 11
Complete intersection fibers in F-theory
journal, March 2015
- Braun, Volker; Grimm, Thomas W.; Keitel, Jan
- Journal of High Energy Physics, Vol. 2015, Issue 3
F-theory vacua with gauge symmetry
journal, September 2015
- Cvetič, Mirjam; Donagi, Ron; Klevers, Denis
- Nuclear Physics B, Vol. 898
Discrete gauge groups in F-theory models on genus-one fibered Calabi-Yau 4-folds without section
journal, April 2017
- Kimura, Yusuke
- Journal of High Energy Physics, Vol. 2017, Issue 4
Physics of F-theory compactifications without section
journal, December 2014
- Anderson, Lara B.; García-Etxebarria, Iñaki; Grimm, Thomas W.
- Journal of High Energy Physics, Vol. 2014, Issue 12
Hypercharge flux in F-theory and the stable Sen limit
journal, July 2014
- Braun, Andreas P.; Collinucci, Andrés; Valandro, Roberto
- Journal of High Energy Physics, Vol. 2014, Issue 7
Yukawas and discrete symmetries in F-theory compactifications without section
journal, November 2014
- García-Etxebarria, Iñaki; Grimm, Thomas W.; Keitel, Jan
- Journal of High Energy Physics, Vol. 2014, Issue 11