Revisiting coupling selection rules in heterotic orbifold models

Journal of High Energy Physics

Volumn 2012, Issue 5, 2012, Pages

  Kobayashi, Tatsuo ^a   Parameswaran, Susha L ^b   Ramos Sánchez, Saúl ^c   Zavala, Ivonne ^d  

^a KYOTO UNIVERSITY   (Japan)

^b UPPSALA UNIVERSITY   (Sweden)

^c UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^d UNIVERSITY OF BONN   (Germany)

Author keywords

Conformal field models in string theory; Global symmetries; Superstrings and heterotic strings

Indexed keywords

EID: 84861910753     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2012)008     Document Type: Article

References (55)

1. W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Supersymmetric standard model from the heterotic string, Phys. Rev. Lett. 96 (2006) 121602 [hep-ph/0511035].
2. W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Supersymmetric standard model from the heterotic string (II), Nucl. Phys. B 785 (2007) 149 [hep-th/0606187].
3. O. Lebedev et al., A mini-landscape of exact MSSM spectra in heterotic orbifolds, Phys. Lett. B 645 (2007) 88 [hep-th/0611095].
4. O. Lebedev et al., The heterotic road to the MSSM with R parity, Phys. Rev. D 77 (2008) 046013 [arXiv:0708.2691].
5. 6 orbifold, Phys. Lett. B 668 (2008) 331 [arXiv:0807.4384].
6. 2 standard model, Phys. Lett. B 683 (2010) 340 [arXiv:0911.4905].
7. T. Kobayashi, S. Raby and R.-J. Zhang, Constructing 5-D orbifold grand unified theories from heterotic strings, Phys. Lett. B 593 (2004) 262 [hep-ph/0403065].
8. 6 orbifold, Nucl. Phys. B 704 (2005) 3 [hep-ph/0409098].
9. 12-I orbifold with Wilson line, Nucl. Phys. B 770 (2007) 47 [hep-th/0608086].
10. 12-I orbifold compactification with and without exotics and effective R-parity, JHEP 06 (2007) 034 [hep-ph/0702278].
11. S. Hamidi and C. Vafa, Interactions on orbifolds, Nucl. Phys. B 279 (1987) 465.
12. L.J. Dixon, D. Friedan, E.J. Martinec and S.H. Shenker, The conformal field theory of orbifolds, Nucl. Phys. B 282 (1987) 13.
13. N orbifolds, Nucl. Phys. B 355 (1991) 689.
14. N orbifolds, Nucl. Phys. B 397 (1993) 379 [hep-th/9207049].
15. N orbifold models, Phys. Lett. B 245 (1990) 441.
16. N orbifold phenomenology, Int. J. Mod. Phys. A 9 (1994) 87.
17. N orbifolds, Nucl. Phys. B 416 (1994) 539 [hep-th/9307172].
18. K.-S. Choi and T. Kobayashi, Higher order couplings from heterotic orbifold theory, Nucl. Phys. B 797 (2008) 295 [arXiv:0711.4894].
19. A. Font, L.E. Ibáñez, H.P. Nilles and F. Quevedo, Degenerate orbifolds, Nucl. Phys. B 307 (1988) 109 [Erratum ibid. B 310 (1988) 764].
20. A. Font, L.E. Ibáñez, H.P. Nilles and F. Quevedo, On the concept of naturalness in string theories, Phys. Lett. B 213 (1988) 274.
21. J. Schmidt, Local grand unification in the heterotic landscape, Fortschr. Phys. 58 (2010) 3 [arXiv:0906.5501].
22. T. Kobayashi, H.P. Nilles, F. Plöger, S. Raby and M. Ratz, Stringy origin of non-Abelian discrete flavor symmetries, Nucl. Phys. B 768 (2007) 135 [hep-ph/0611020].
23. 4 flavor symmetry and phenomenological implications, Phys. Rev. D 76 (2007) 035005 [Erratum ibid. D 76 (2007) 059901] [arXiv:0704.2807].
24. D. Bailin and A. Love, Orbifold compactifications of string theory, Phys. Rept. 315 (1999) 285.
25. K.-S. Choi and J.E. Kim, Quarks and leptons from orbifolded superstring, Lect. Notes Phys. 696 (2006) 1.
26. P.K.S. Vaudrevange, Grand unification in the heterotic brane world, arXiv:0812.3503.
27. S. Ramos-Sánchez, Towards low energy physics from the heterotic string, Fortschr. Phys. 10 (2009) 907 [arXiv:0812.3560].
28. N orbifold models, Nucl. Phys. B 341 (1990) 611.
29. P. Goddard and D.I. Olive, Kac-Moody and Virasoro algebras in relation to quantum physics, Int. J. Mod. Phys. A 1 (1986) 303.
30. M. Cvetič, Suppression of nonrenormalizable terms in the effective superpotential for (blownup) orbifold compactification, Phys. Rev. Lett. 59 (1987) 1795.
31. J. Polchinski, String theory. Vol. 2: Superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998).
32. M. Dine and N. Seiberg, Nonrenormalization theorems in superstring theory, Phys. Rev. Lett. 57 (1986) 2625.
33. L.E. Ibáñez, J. Mas, H.-P. Nilles and F. Quevedo, Heterotic strings in symmetric and asymmetric orbifold backgrounds, Nucl. Phys. B 301 (1988) 157.
34. F. Plöger, S. Ramos-Sánchez, M. Ratz and P.K.S. Vaudrevange, Mirage torsion, JHEP 04 (2007) 063 [hep-th/0702176].
35. N symmetry, Int. J. Mod. Phys. A 2 (1987) 165.
36. N orbifolds, Nucl. Phys. B 298 (1988) 1.
37. S.A. Abel and A.W. Owen, N point amplitudes in intersecting brane models, Nucl. Phys. B 682 (2004) 183 [hep-th/0310257].
38. T. Kobayashi, Selection rules for nonrenormalizable couplings in superstring theories, Phys. Lett. B 354 (1995) 264 [hep-ph/9504371].
39. A. Font, L.E. Ibáñez, H.P. Nilles and F. Quevedo, Yukawa couplings in degenerate orbifolds: towards a realistic SU(3) × SU(2) × U(1) superstring, Phys. Lett. 210B (1988) 101 [Erratum ibid. B 213 (1988) 564].
40. A. Font, L.E. Ibáñez, F. Quevedo and A. Sierra, The construction of 'realistic' four-dimensional strings through orbifolds, Nucl. Phys. B 331 (1990) 421.
41. P. Mayr and S. Stieberger, Low-energy properties of (0,2) compactifications, hep-th/9412196.
42. T. Kobayashi and O. Lebedev, Heterotic Yukawa couplings and continuous Wilson lines, Phys. Lett. B 566 (2003) 164 [hep-th/0303009].
43. N orbifold theories with continuous Wilson lines, Nucl. Phys. B 432 (1994) 68 [hep-th/9405002].
44. I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Effective μ term in superstring theory, Nucl. Phys. B 432 (1994) 187 [hep-th/9405024].
45. M. Cvetič, B.A. Ovrut and W. Sabra, Kähler potentials for orbifolds with continuous Wilson lines and the symmetries of the string action, Phys. Lett. B 351 (1995) 173 [hep-th/9502144].
46. A. Brignole, L.E. Ibáñez and C. Muñoz, Orbifold induced mu term and electroweak symmetry breaking, Phys. Lett. B 387 (1996) 769 [hep-ph/9607405].
47. F. Brümmer, R. Kappl, M. Ratz and K. Schmidt-Hoberg, Approximate R-symmetries and the μ term, JHEP 04 (2010) 006 [arXiv:1003.0084].
48. S.L. Parameswaran, S. Ramos-Sánchez and I. Zavala, On moduli stabilisation and de Sitter vacua in MSSM heterotic orbifolds, JHEP 01 (2011) 071 [arXiv:1009.3931].
49. R. Kappl et al., Large hierarchies from approximate R symmetries, Phys. Rev. Lett. 102 (2009) 121602 [arXiv:0812.2120].
50. T. Araki et al., (Non-)Abelian discrete anomalies, Nucl. Phys. B 805 (2008) 124 [arXiv:0805.0207].
51. 2 heterotic orbifold models of non factorisable six dimensional toroidal manifolds, JHEP 08 (2006) 057 [hep-th/0605117].
52. 2 heterotic orbifold models and Yukawa couplings, JHEP 03 (2007) 011 [hep-th/0612044].
53. K.-J. Takahashi, Heterotic orbifold models on Lie lattice with discrete torsion, JHEP 03 (2007) 103 [hep-th/0702025].
54. 6 root lattice, Prog. Theor. Phys. 119 (2008) 491 [arXiv:0707.3355].
55. L.J. Dixon, V. Kaplunovsky and J. Louis, On effective field theories describing (2,2) vacua of the heterotic string, Nucl. Phys. B 329 (1990) 27.