Abstract
We study the presence of abelian discrete symmetries in globally consistent orientifold compactifications based on rational conformal field theory. We extend previous work [1] by allowing the discrete symmetries to be a linear combination of U(1) gauge factors of the visible as well as the hidden sector. This more general ansatz significantly increases the probability of finding a discrete symmetry in the low energy effective action. Applied to globally consistent MSSM-like Gepner constructions we find multiple models that allow for matter parity or Baryon triality.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L.E. Ibáñez, A.N. Schellekens and A.M. Uranga, Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds, Nucl. Phys. B 865 (2012) 509 [arXiv:1205.5364] [INSPIRE].
L.E. Ibáñez and G.G. Ross, Discrete gauge symmetries and the origin of baryon and lepton number conservation in supersymmetric versions of the standard model, Nucl. Phys. B 368 (1992) 3 [INSPIRE].
G. Altarelli and F. Feruglio, Discrete Flavor Symmetries and Models of Neutrino Mixing, Rev. Mod. Phys. 82 (2010) 2701 [arXiv:1002.0211] [INSPIRE].
D. Baumann, TASI Lectures on Inflation, arXiv:0907.5424 [INSPIRE].
A. Sagnotti, A Note on the Green-Schwarz mechanism in open string theories, Phys. Lett. B 294 (1992) 196 [hep-th/9210127] [INSPIRE].
L.E. Ibáñez, R. Rabadán and A.M. Uranga, Anomalous U(1)’s in type-I and type IIB D = 4, N =1 string vacua, Nucl. Phys. B 542 (1999) 112[hep-th/9808139] [INSPIRE].
M. Bianchi and J.F. Morales, Anomalies & tadpoles, JHEP 03 (2000) 030 [hep-th/0002149] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, D = 4 chiral string compactifications from intersecting branes, J. Math. Phys. 42 (2001) 3103 [hep-th/0011073] [INSPIRE].
I. Antoniadis, E. Kiritsis and J. Rizos, Anomalous U(1)’s in type 1 superstring vacua, Nucl. Phys. B 637 (2002) 92 [hep-th/0204153] [INSPIRE].
R. Blumenhagen, M. Cvetič and T. Weigand, Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-brane models, Nucl. Phys. B 771 (2007) 113 [hep-th/0609191] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, Neutrino Majorana Masses from String Theory Instanton Effects, JHEP 03 (2007) 052 [hep-th/0609213] [INSPIRE].
R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-Brane Instantons in Type II Orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [INSPIRE].
M. Berasaluce-Gonzalez, L.E. Ibáñez, P. Soler and A.M. Uranga, Discrete gauge symmetries in D-brane models, JHEP 12 (2011) 113 [arXiv:1106.4169] [INSPIRE].
P. Anastasopoulos, M. Cvetič, R. Richter and P.K.S. Vaudrevange, String Constraints on Discrete Symmetries in MSSM Type II Quivers, JHEP 03 (2013) 011 [arXiv:1211.1017] [INSPIRE].
G. Honecker and W. Staessens, To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-brane Models, JHEP 10 (2013) 146 [arXiv:1303.4415] [INSPIRE].
G. Honecker and W. Staessens, D6-Brane Model Building and Discrete Symmetries on \( {T}^6/\left({\mathbb{Z}}_2\times {\mathbb{Z}}_2^{\prime}\times \varOmega R\right) \) with Discrete Torsion, PoS(Corfu2012)107 [arXiv:1303.6845] [INSPIRE].
G. Honecker and W. Staessens, Discrete Abelian gauge symmetries and axions, arXiv:1502.00985 [INSPIRE].
H. Abe, K.-S. Choi, T. Kobayashi and H. Ohki, Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models, Nucl. Phys. B 820 (2009) 317 [arXiv:0904.2631] [INSPIRE].
M. Berasaluce-Gonzalez, P.G. Camara, F. Marchesano, D. Regalado and A.M. Uranga, Non-Abelian discrete gauge symmetries in 4d string models, JHEP 09 (2012) 059 [arXiv:1206.2383] [INSPIRE].
F. Marchesano, D. Regalado and L. Vazquez-Mercado, Discrete flavor symmetries in D-brane models, JHEP 09 (2013) 028 [arXiv:1306.1284] [INSPIRE].
Y. Hamada, T. Kobayashi and S. Uemura, Flavor structure in D-brane models: Majorana neutrino masses, JHEP 05 (2014) 116 [arXiv:1402.2052] [INSPIRE].
T. Kobayashi, H.P. Nilles, F. Ploger, S. Raby and M. Ratz, Stringy origin of non-Abelian discrete flavor symmetries, Nucl. Phys. B 768 (2007) 135 [hep-ph/0611020] [INSPIRE].
S. Förste, H.P. Nilles, S. Ramos-Sanchez and P.K.S. Vaudrevange, Proton Hexality in Local Grand Unification, Phys. Lett. B 693 (2010) 386 [arXiv:1007.3915] [INSPIRE].
H.P. Nilles, M. Ratz and P.K.S. Vaudrevange, Origin of Family Symmetries, Fortsch. Phys. 61 (2013) 493 [arXiv:1204.2206] [INSPIRE].
V. Braun and D.R. Morrison, F-theory on Genus-One Fibrations, JHEP 08 (2014) 132 [arXiv:1401.7844] [INSPIRE].
D.R. Morrison and W. Taylor, Sections, multisections and U(1) fields in F-theory, arXiv:1404.1527 [INSPIRE].
L.B. Anderson, I. García-Etxebarria, T.W. Grimm and J. Keitel, Physics of F-theory compactifications without section, JHEP 12 (2014) 156 [arXiv:1406.5180] [INSPIRE].
A. Karozas, S.F. King, G.K. Leontaris and A. Meadowcroft, Discrete Family Symmetry from F-theory GUTs, JHEP 09 (2014) 107 [arXiv:1406.6290] [INSPIRE].
D. Klevers, D.K. Mayorga Peña, P.-K. Oehlmann, H. Piragua and J. Reuter, F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches, JHEP 01 (2015) 142 [arXiv:1408.4808] [INSPIRE].
I. García-Etxebarria, T.W. Grimm and J. Keitel, Yukawas and discrete symmetries in F-theory compactifications without section, JHEP 11 (2014) 125 [arXiv:1408.6448] [INSPIRE].
C. Mayrhofer, E. Palti, O. Till and T. Weigand, Discrete Gauge Symmetries by Higgsing in four-dimensional F-theory Compactifications, JHEP 12 (2014) 068 [arXiv:1408.6831] [INSPIRE].
C. Mayrhofer, E. Palti, O. Till and T. Weigand, On Discrete Symmetries and Torsion Homology in F-theory, JHEP 06 (2015) 029 [arXiv:1410.7814] [INSPIRE].
V. Braun, T.W. Grimm and J. Keitel, Complete Intersection Fibers in F-theory, JHEP 03 (2015) 125 [arXiv:1411.2615] [INSPIRE].
G.K. Leontaris, The origin of discrete symmetries in F-theory models, arXiv:1501.06499 [INSPIRE].
L.E. Ibáñez, F. Marchesano and R. Rabadán, Getting just the standard model at intersecting branes, JHEP 11 (2001) 002 [hep-th/0105155] [INSPIRE].
T.P.T. Dijkstra, L.R. Huiszoon and A.N. Schellekens, Chiral supersymmetric standard model spectra from orientifolds of Gepner models, Phys. Lett. B 609 (2005) 408 [hep-th/0403196] [INSPIRE].
T.P.T. Dijkstra, L.R. Huiszoon and A.N. Schellekens, Supersymmetric standard model spectra from RCFT orientifolds, Nucl. Phys. B 710 (2005) 3 [hep-th/0411129] [INSPIRE].
P. Anastasopoulos, T.P.T. Dijkstra, E. Kiritsis and A.N. Schellekens, Orientifolds, hypercharge embeddings and the Standard Model, Nucl. Phys. B 759 (2006) 83 [hep-th/0605226] [INSPIRE].
R. Blumenhagen, Supersymmetric orientifolds of Gepner models, JHEP 11 (2003) 055 [hep-th/0310244] [INSPIRE].
R. Blumenhagen and T. Weigand, Chiral Gepner model orientifolds, hep-th/0408147 [INSPIRE].
R. Blumenhagen and T. Weigand, A note on partition functions of Gepner model orientifolds, Phys. Lett. B 591 (2004) 161 [hep-th/0403299] [INSPIRE].
R. Blumenhagen and T. Weigand, Chiral supersymmetric Gepner model orientifolds, JHEP 02 (2004) 041 [hep-th/0401148] [INSPIRE].
G. Aldazabal, E.C. Andres, M. Leston and C.A. Núñez, Type IIB orientifolds on Gepner points, JHEP 09 (2003) 067 [hep-th/0307183] [INSPIRE].
S. Govindarajan and J. Majumder, Crosscaps in Gepner models and type IIA orientifolds, JHEP 02 (2004) 026 [hep-th/0306257] [INSPIRE].
G. Aldazabal, E.C. Andres and J.E. Juknevich, Particle models from orientifolds at Gepner orbifold points, JHEP 05 (2004) 054 [hep-th/0403262] [INSPIRE].
I. Brunner, K. Hori, K. Hosomichi and J. Walcher, Orientifolds of Gepner models, JHEP 02 (2007) 001 [hep-th/0401137] [INSPIRE].
A.M. Uranga, D-brane probes, RR tadpole cancellation and k-theory charge, Nucl. Phys. B 598 (2001) 225 [hep-th/0011048] [INSPIRE].
D. Gepner, Space-Time Supersymmetry in Compactified String Theory and Superconformal Models, Nucl. Phys. B 296 (1988) 757 [INSPIRE].
C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept. 371 (2002) 1 [hep-th/0204089] [INSPIRE].
J. Fuchs, L.R. Huiszoon, A.N. Schellekens, C. Schweigert and J. Walcher, Boundaries, crosscaps and simple currents, Phys. Lett. B 495 (2000) 427 [hep-th/0007174] [INSPIRE].
L.E. Ibáñez, A.N. Schellekens and A.M. Uranga, Instanton Induced Neutrino Majorana Masses in CFT Orientifolds with MSSM-like spectra, JHEP 06 (2007) 011 [arXiv:0704.1079] [INSPIRE].
E. Kiritsis, B. Schellekens and M. Tsulaia, Discriminating MSSM families in (free-field) Gepner Orientifolds, JHEP 10 (2008) 106 [arXiv:0809.0083] [INSPIRE].
E. Kiritsis, M. Lennek and B. Schellekens, SU(5) orientifolds, Yukawa couplings, Stringy Instantons and Proton Decay, Nucl. Phys. B 829 (2010) 298 [arXiv:0909.0271] [INSPIRE].
P. Anastasopoulos, G.K. Leontaris and N.D. Vlachos, Phenomenological Analysis of D-brane Pati-Salam Vacua, JHEP 05 (2010) 011 [arXiv:1002.2937] [INSPIRE].
P. Anastasopoulos, G.K. Leontaris, R. Richter and A.N. Schellekens, SU(5) D-brane realizations, Yukawa couplings and proton stability, JHEP 12 (2010) 011 [arXiv:1010.5188] [INSPIRE].
L.E. Ibáñez and G.G. Ross, Discrete gauge symmetry anomalies, Phys. Lett. B 260 (1991) 291 [INSPIRE].
H.K. Dreiner, C. Luhn and M. Thormeier, What is the discrete gauge symmetry of the MSSM?, Phys. Rev. D 73 (2006) 075007 [hep-ph/0512163] [INSPIRE].
B. Holdom, Two U(1)’s and Epsilon Charge Shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].
M. Dine and Z. Sun, R symmetries in the landscape, JHEP 01 (2006) 129 [hep-th/0506246] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1502.02686
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Anastasopoulos, P., Richter, R. & Schellekens, A.N. Discrete symmetries from hidden sectors. J. High Energ. Phys. 2015, 189 (2015). https://doi.org/10.1007/JHEP06(2015)189
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2015)189