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String Theory Realization of \(\mathbb{Z}_{4}^{R}\) Symmetry

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Book cover Supersymmetric Grand Unified Theories

Part of the book series: Lecture Notes in Physics ((LNP,volume 939))

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Abstract

In Chap. 19 we showed that discrete R symmetries can be used to define the MSSM. In this chapter we present a globally consistent string compactification with the exact MSSM spectrum below the compactification scale. The model exhibits the \(\mathbb{Z}_{4}^{R}\) symmetry, which originates from the Lorentz group of compactified dimensions [276].

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Notes

  1. 1.

    A special role is played by the dilaton S, whose imaginary part a = Im S |  θ = 0 shifts under \(\mathbb{Z}_{4}^{R}\).

  2. 2.

    See [390] for the discussion in a more general context. Note that we can always bring the anomalous space group element to the form (θ k ω ℓ, 0) by redefining the model input appropriately. This amounts to a redefinition of the ‘origin’ of the orbifold.

References

  1. Kappl, R., Petersen, B., Raby, S., Ratz, M., Schieren, R., Vaudrevange, P.K.S.: Nucl. Phys. B 847, 325 (2011). doi:10.1016/j.nuclphysb.2011.01.032

    Article  ADS  Google Scholar 

  2. Hebecker, A., Trapletti, M.: Nucl. Phys. B 713, 173 (2005). doi:10.1016/j.nuclphysb.2005. 02.008

    Article  ADS  Google Scholar 

  3. Lee, H.M., Raby, S., Ratz, M., Ross, G.G., Schieren, R., Schmidt-Hoberg, K., Vaudrevange, P.K.S.: Phys. Lett. B 694, 491 (2011). doi:10.1016/j.physletb.2010.10.038

    Article  ADS  Google Scholar 

  4. Ibanez, L.E., Ross, G.G.: Phys. Lett. B 260, 291 (1991). doi:10.1016/0370-2693(91)91614-2

    Article  ADS  Google Scholar 

  5. Lee, H.M., Raby, S., Ratz, M., Ross, G.G., Schieren, R., Schmidt-Hoberg, K., Vaudrevange, P.K.S.: Nucl. Phys. B 850, 1 (2011). doi:10.1016/j.nuclphysb.2011.04.009

    Article  ADS  Google Scholar 

  6. Kappl, R., Nilles, H.P., Ramos-Sanchez, S., Ratz, M., Schmidt-Hoberg, K., Vaudrevange, P.K.S.: Phys. Rev. Lett. 102, 121602 (2009). doi:10.1103/PhysRevLett.102.121602

    Article  ADS  MathSciNet  Google Scholar 

  7. Kobayashi, T., Raby, S., Zhang, R.J.: Nucl. Phys. B 704, 3 (2005). doi:10.1016/j.nuclphysb. 2004.10.035

    Article  ADS  Google Scholar 

  8. Kobayashi, T., Nilles, H.P., Ploger, F., Raby, S., Ratz, M.: Nucl. Phys. B 768, 135 (2007). doi:10.1016/j.nuclphysb.2007.01.018

    Article  ADS  Google Scholar 

  9. Araki, T., Kobayashi, T., Kubo, J., Ramos-Sanchez, S., Ratz, M., Vaudrevange, P.K.S.: Nucl. Phys. B 805, 124 (2008). doi:10.1016/j.nuclphysb.2008.07.005

    Article  ADS  Google Scholar 

  10. Dixon, L.J., Harvey, J.A., Vafa, C., Witten, E.: Nucl. Phys. B 261, 678 (1985). doi:10.1016/ 0550-3213(85)90593-0

    Article  ADS  Google Scholar 

  11. Dixon, L.J., Harvey, J.A., Vafa, C., Witten, E.: Nucl. Phys. B 274, 285 (1986). doi:10.1016/ 0550-3213(86)90287-7

    Article  ADS  Google Scholar 

  12. Lebedev, O., Nilles, H.P., Raby, S., Ramos-Sanchez, S., Ratz, M., Vaudrevange, P.K.S., Wingerter, A.: Phys. Lett. B 645, 88 (2007). doi:10.1016/j.physletb.2006.12.012

    Article  ADS  MathSciNet  Google Scholar 

  13. Lebedev, O., Nilles, H.P., Ramos-Sanchez, S., Ratz, M., Vaudrevange, P.K.S.: Phys. Lett. B 668, 331 (2008). doi:10.1016/j.physletb.2008.08.054

    Article  ADS  MathSciNet  Google Scholar 

  14. Buchmuller, W., Hamaguchi, K., Lebedev, O., Ratz, M.: Nucl. Phys. B 785, 149 (2007). doi:10.1016/j.nuclphysb.2007.06.028

    Article  ADS  Google Scholar 

  15. Dixon, L.J., Friedan, D., Martinec, E.J., Shenker, S.H.: Nucl. Phys. B 282, 13 (1987). doi:10.1016/0550-3213(87)90676-6

    Article  ADS  Google Scholar 

  16. Ko, P., Kobayashi, T., Park, J.H., Raby, S.: Phys. Rev. D 76, 035005 (2007). doi:10.1103/ PhysRevD.76.059901, 10.1103/PhysRevD.76.035005 [Erratum: Phys. Rev. D 76, 059901 (2007)]

  17. Dundee, B., Raby, S., Wingerter, A.: Phys. Rev. D 78, 066006 (2008). doi:10.1103/PhysRevD.78.066006

    Article  ADS  Google Scholar 

  18. Hosteins, P., Kappl, R., Ratz, M., Schmidt-Hoberg, K.: J. High Energy Phys. 07, 029 (2009). doi:10.1088/1126-6708/2009/07/029

    Article  ADS  Google Scholar 

  19. Petersen, B., Ratz, M., Schieren, R.: J. High Energy Phys. 08, 111 (2009). doi:10.1088/1126- 6708/2009/08/111

    Article  ADS  Google Scholar 

  20. Blaszczyk, M., Groot Nibbelink, S., Ratz, M., Ruehle, F., Trapletti, M., Vaudrevange, P.K.S.: Phys. Lett. B 683, 340 (2010). doi:10.1016/j.physletb.2009.12.036

    Article  ADS  MathSciNet  Google Scholar 

  21. Ibanez, L.E., Lust, D.: Nucl. Phys. B 382, 305 (1992). doi:10.1016/0550-3213(92)90189-I

    Article  ADS  Google Scholar 

  22. Buchmuller, W., Schmidt, J.: Nucl. Phys. B 807, 265 (2009). doi:10.1016/j.nuclphysb.2008. 09.011

    Article  ADS  Google Scholar 

  23. Luty, M.A., Taylor, W.: Phys. Rev. D 53, 3399 (1996). doi:10.1103/PhysRevD.53.3399

    Article  ADS  MathSciNet  Google Scholar 

  24. Gato-Rivera, B., Schellekens, A.N.: Nucl. Phys. B 846, 429 (2011). doi:10.1016/j.nuclphysb.2011.01.011

    Article  ADS  Google Scholar 

  25. Decker, W., Greuel, G.M., Pfister, G., Schönemann, H.: Singular 4-0-2 — a computer algebra system for polynomial computations (2005). http://www.singular.uni-kl.de

  26. Gray, J., He, Y.H., Ilderton, A., Lukas, A.: Comput. Phys. Commun. 180, 107 (2009). doi:10.1016/j.cpc.2008.08.009

    Article  ADS  Google Scholar 

  27. Anderson, L.B., Gray, J., Lukas, A., Ovrut, B.: J. High Energy Phys. 02, 088 (2011). doi:10.1007/ JHEP02(2011)088

    Article  ADS  Google Scholar 

  28. Dundee, B., Raby, S., Westphal, A.: Phys. Rev. D 82, 126002 (2010). doi:10.1103/PhysRevD.82.126002

    Article  ADS  Google Scholar 

  29. Parameswaran, S.L., Ramos-Sanchez, S., Zavala, I.: J. High Energy Phys. 01, 071 (2011). doi:10.1007/JHEP01(2011)071

    Article  ADS  Google Scholar 

  30. Lee, H.M., Nilles, H.P., Zucker, M.: Nucl. Phys. B 680, 177 (2004). doi:10.1016/j.nuclphysb.2003.12.031

    Article  ADS  Google Scholar 

  31. Buchmuller, W., Hamaguchi, K., Lebedev, O., Ramos-Sanchez, S., Ratz, M.: Phys. Rev. Lett. 99, 021601 (2007). doi:10.1103/PhysRevLett.99.021601

    Article  ADS  MathSciNet  Google Scholar 

  32. Brummer, F., Kappl, R., Ratz, M., Schmidt-Hoberg, K.: J. High Energy Phys. 04, 006 (2010). doi:10.1007/JHEP04(2010)006

    Article  ADS  Google Scholar 

  33. Affleck, I., Dine, M., Seiberg, N.: Nucl. Phys. B 241, 493 (1984). doi:10.1016/0550-3213(84)90058-0

    Article  ADS  Google Scholar 

  34. Blaszczyk, M., Groot Nibbelink, S., Ruehle, F., Trapletti, M., Vaudrevange, P.K.S.: J. High Energy Phys. 09, 065 (2010). doi:10.1007/JHEP09(2010)065

    Article  ADS  Google Scholar 

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  1. Department of Physics, The Ohio State University, Columbus, Ohio, USA

    Stuart Raby

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Raby, S. (2017). String Theory Realization of \(\mathbb{Z}_{4}^{R}\) Symmetry. In: Supersymmetric Grand Unified Theories. Lecture Notes in Physics, vol 939. Springer, Cham. https://doi.org/10.1007/978-3-319-55255-2_23

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