Abstract
Discrete gauge symmetries in global intersecting D-brane models constrain the exact form of the perturbative as well as non-perturbative superpotential. We derive the complete set of conditions on the existence of discrete \( {{\mathbb{Z}}_n} \) gauge symmetries on toroidal orbifolds, T 6/\( {{\mathbb{Z}}_N} \) and T 6/\( {{\mathbb{Z}}_2} \) × \( {{\mathbb{Z}}_{2M }} \), with fractional or rigid D6-branes on tilted tori, for which global models of particle physics are known. Several examples of global left-right symmetric and Pati-Salam models are presented. Some discrete ‘stringy’ \( {{\mathbb{Z}}_n} \) symmetries are trivial from the field theory point of view, while others have not been identified before.
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References
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].
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].
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].
L. Abbott and M.B. Wise, Wormholes and global symmetries, Nucl. Phys. B 325 (1989) 687 [INSPIRE].
S.R. Coleman and K.-M. Lee, Wormholes made without massless matter fields, Nucl. Phys. B 329 (1990) 387 [INSPIRE].
R. Kallosh, A.D. Linde, D.A. Linde and L. Susskind, Gravity and global symmetries, Phys. Rev. D 52 (1995) 912 [hep-th/9502069] [INSPIRE].
T. Banks and N. Seiberg, Symmetries and strings in field theory and gravity, Phys. Rev. D 83 (2011) 084019 [arXiv:1011.5120] [INSPIRE].
T. Banks and L.J. Dixon, Constraints on string vacua with space-time supersymmetry, Nucl. Phys. B 307 (1988) 93 [INSPIRE].
S. Hellerman and E. Sharpe, Sums over topological sectors and quantization of Fayet-Iliopoulos parameters, Adv. Theor. Math. Phys. 15 (2011) 1141 [arXiv:1012.5999] [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].
L. Ibáñez, A. Schellekens and A. Uranga, Discrete gauge symmetries in discrete MSSM-like orientifolds, Nucl. Phys. B 865 (2012) 509 [arXiv:1205.5364] [INSPIRE].
P. Anastasopoulos, M. Cvetic, R. Richter and P.K. Vaudrevange, String Constraints on Discrete Symmetries in MSSM Type II Quivers, JHEP 03 (2013) 011 [arXiv:1211.1017] [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].
G. Honecker and T. Ott, Getting just the supersymmetric standard model at intersecting branes on the Z 6 orientifold, Phys. Rev. D 70 (2004) 126010 [Erratum ibid. D 71 (2005) 069902] [hep-th/0404055] [INSPIRE].
F. Gmeiner and G. Honecker, Mapping an Island in the Landscape, JHEP 09 (2007) 128 [arXiv:0708.2285] [INSPIRE].
F. Gmeiner and G. Honecker, Millions of Standard Models on Z 6′ ?, JHEP 07 (2008) 052 [arXiv:0806.3039] [INSPIRE].
F. Gmeiner and G. Honecker, Complete gauge threshold corrections for intersecting fractional D6-branes: the Z 6 and Z 6′ standard models, Nucl. Phys. B 829 (2010) 225 [arXiv:0910.0843] [INSPIRE].
G. Honecker, M. Ripka and W. Staessens, The Importance of Being Rigid: D6-Brane Model Building on T 6 /Z 2 × \( Z_6^{\prime } \) with Discrete Torsion, Nucl. Phys. B 868 (2013) 156 [arXiv:1209.3010] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, String theory and particle physics: An introduction to string phenomenology, Cambridge University Press, Cambridge U.K. (2012).
R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1.
E. Palti, Model building with intersecting D6-branes on smooth Calabi-Yau manifolds, JHEP 04 (2009) 099 [arXiv:0902.3546] [INSPIRE].
A.M. Uranga, D-brane probes, RR tadpole cancellation and k-theory charge, Nucl. Phys. B 598 (2001) 225 [hep-th/0011048] [INSPIRE].
A.M. Uranga, D-brane, fluxes and chirality, JHEP 04 (2002) 016 [hep-th/0201221] [INSPIRE].
F.G. Marchesano Buznego, Intersecting D-brane models, hep-th/0307252.
D. Ghilencea, L. Ibáñez, N. Irges and F. Quevedo, TeV scale Z ′ bosons from D-branes, JHEP 08 (2002) 016 [hep-ph/0205083] [INSPIRE].
S. Förste, G. Honecker and R. Schreyer, Supersymmetric Z N × Z M orientifolds in 4 − D with D-branes at angles, Nucl. Phys. B 593 (2001) 127 [hep-th/0008250] [INSPIRE].
M. Cvetič, G. Shiu and A.M. Uranga, Three family supersymmetric standard-like models from intersecting brane worlds, Phys. Rev. Lett. 87 (2001) 201801 [hep-th/0107143] [INSPIRE].
M. Cvetič, G. Shiu and A.M. Uranga, Chiral four-dimensional N = 1 supersymmetric type 2A orientifolds from intersecting D6 branes, Nucl. Phys. B 615 (2001) 3 [hep-th/0107166] [INSPIRE].
G. Honecker, Chiral supersymmetric models on an orientifold of Z 4 × Z 2 with intersecting D6-branes, Nucl. Phys. B 666 (2003) 175 [hep-th/0303015] [INSPIRE].
G. Honecker, Chiral N = 1 4 − D orientifolds with D-branes at angles, Mod. Phys. Lett. A 19 (2004) 1863 [hep-th/0407181] [INSPIRE].
G. Honecker, Kähler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds — the complete perturbative story, Fortsch. Phys. 60 (2012) 243 [arXiv:1109.3192] [INSPIRE].
F. Gmeiner, R. Blumenhagen, G. Honecker, D. Lüst and T. Weigand, One in a billion: MSSM-like D-brane statistics, JHEP 01 (2006) 004 [hep-th/0510170] [INSPIRE].
R. Blumenhagen, F. Gmeiner, G. Honecker, D. Lüst and T. Weigand, The Statistics of supersymmetric D-brane models, Nucl. Phys. B 713 (2005) 83 [hep-th/0411173] [INSPIRE].
M. Berkooz and R.G. Leigh, A D = 4 N = 1 orbifold of type-I strings, Nucl. Phys. B 483 (1997) 187 [hep-th/9605049] [INSPIRE].
S. Förste and G. Honecker, Rigid D6-branes on T 6 /(Z 2 × Z 2M × ΩR) with discrete torsion, JHEP 01 (2011) 091 [arXiv:1010.6070] [INSPIRE].
F. Gmeiner, D. Lüst and M. Stein, Statistics of intersecting D-brane models on T 6/\( {{\mathbb{Z}}_6} \), JHEP 05 (2007) 018 [hep-th/0703011] [INSPIRE].
T. Banks and M. Dine, Note on discrete gauge anomalies, Phys. Rev. D 45 (1992) 1424 [hep-th/9109045] [INSPIRE].
T. Araki et al., (Non-)Abelian discrete anomalies, Nucl. Phys. B 805 (2008) 124 [arXiv:0805.0207] [INSPIRE].
G. Honecker and W. Staessens, D6-Brane Model Building and Discrete Symmetries on T 6 /Z 2 × Z 6′ × ΩR with Discrete Torsion, arXiv:1303.6845.
L. A. Anchordoqui et al., LHC Phenomenology and Cosmology of Intersecting D-Brane Models, Phys. Rev. D 86 (2012) 066004 [arXiv:1206.2537].
L.A. Anchordoqui et al., Z’-gauge Bosons as Harbingers of Low Mass Strings, Phys. Rev. D 85 (2012) 086003 [arXiv:1107.4309] [INSPIRE].
S. Abel, M. Goodsell, J. Jaeckel, V. Khoze and A. Ringwald, Kinetic Mixing of the Photon with Hidden U(1)s in String Phenomenology, JHEP 07 (2008) 124 [arXiv:0803.1449] [INSPIRE].
S. Andreas, M. Goodsell and A. Ringwald, Dark Matter and Dark Forces from a Supersymmetric Hidden Sector, Phys. Rev. D 87 (2013) 025007 [arXiv:1109.2869] [INSPIRE].
E. Dudas, Y. Mambrini, S. Pokorski and A. Romagnoni, Extra U(1) as natural source of a monochromatic gamma ray line, JHEP 10 (2012) 123 [arXiv:1205.1520] [INSPIRE].
M. Berasaluce-Gonzalez, P. Camara, F. Marchesano, D. Regalado and A. Uranga, Non-Abelian discrete gauge symmetries in 4d string models, JHEP 09 (2012) 059 [arXiv:1206.2383] [INSPIRE].
T.W. Grimm and D.V. Lopes, The N = 1 effective actions of D-branes in Type IIA and IIB orientifolds, Nucl. Phys. B 855 (2012) 639 [arXiv:1104.2328] [INSPIRE].
M. Kerstan and T. Weigand, The effective action of D6-branes in N = 1 type IIA orientifolds, JHEP 06 (2011) 105 [arXiv:1104.2329] [INSPIRE].
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Honecker, G., Staessens, W. To tilt or not to tilt: discrete gauge symmetries in global intersecting D-brane models. J. High Energ. Phys. 2013, 146 (2013). https://doi.org/10.1007/JHEP10(2013)146
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DOI: https://doi.org/10.1007/JHEP10(2013)146