Dimensional reduction over coset spaces and supersymmetry breaking

Journal of High Energy Physics

Volumn 6, Issue 3, 2002, Pages 13-44

  Manousselis, Pantelis ^a   Zoupanos, George ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Compactiflcation and String Models; Field Theories in Higher Dimensions; GUT; Supersymmetry Breaking

Indexed keywords

EID: 23044459876     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/03/002     Document Type: Article

References (89)

1. P. Forgocs and N.S. Manton, Space-time symmetries in gauge theories, Commun. Math. Phys. 72 (1980) 15;
2. E. Witten, Some exact muttipseudoparticle solutions of classical yang- mills theory, Phys. Rev. Lett. 38 (1977) 121.
3. D. Kapetanakis and G. Zoupanos, Coset space dimensional reduction of gauge theories, Phys. Rept. 219 (1992) 1.
4. Y. Kubyshin, J. M. Mourao, G. Rudolph and I. P. Volobujev, Lecture notes in Physics, Vol. 349, Springer Verlag, Heidelberg 1989.
5. N.S. Manton, Fermions and parity violation in dimensional reduction schemes, Nucl. Phys. B 193 (1981) 502.
6. See e.g. M. B. Green, J. H. Schwarz and E. Witten, Superstring theory, Cambridge University Press, Cambridge 1987;
7. D. Luest and S. Theisen, Lectures on string theory, Lecture Notes in Physics, Vol. 346, Springer Verlag, Heidelberg 1989.
8. G. Chapline and R. Slansky, Dimensional reduction and flavor chirality, Nucl. Phys. B 209 (1982) 461.
9. P. Manousselis and G. Zoupanos, Supersymmetry breaking by dimensional reduction over coset spaces, Phys. Lett. B 504 (2001) 122 [hep-ph/0010141];
10. Soft supersymmetry breaking due to dimensional reduction over non-symmetric coset spaces, Phys. Lett. B 518 (2001) 171 [hep-ph/0106033].
11. S. Dimopoulos and H. Georgi, Solution of the gauge hierarchy problem, Phys. Lett. B 117 (1982) 287;
12. N. Sakai, Naturalness in supersymmetric "GUTs", Z. Physik C 11 (1981) 153.
13. D. Kapetanakis, M. Mondragón, and G. Zoupanos, Finite unified models, Z. Physik C 60 (1993) 181 [hep-ph/9210218];
14. M. Mondragón, and G. Zoupanos, Finite unified theories and the top quark mass, Nucl. Phys. 37C (Proc. Suppl.) (1995) 98.
15. J. Kubo, M. Mondragón and G. Zoupanos, Reduction of couplings and heavy top quark in the minimal SUSY GUT, Nucl. Phys. B 424 (1994) 291;
16. Perturbative unification of soft supersymmetry-breaking terms, Phys. Lett. B 389 (1996) 523 [hep-ph/9609218];
17. T. Kobayashi, J. Kubo, M. Mondragon and G. Zoupanos, Constraints on finite soft supersymmetry-breaking terms, Nucl. Phys. B 511 (1998) 45 [hep-ph/9707425];
18. For an extended discussion and a complete list of references see J. Kubo, M. Mondragón, and G. Zoupanos, Unification beyond GUTS: gauge Yukawa unification, Acta Phys. Polon. B27 (1997) 3911 [hep-ph/9703289].
19. See e.g. T. Kobayashi et.al., Exact finite and gauge-Yukawa unified theories and their predictions, Acta Phys. Polon. B30 (1999) 2013;
20. Proc. of HEP99, Tempere 1999, p.804.
21. T.R. Taylor and G. Veneziano, Strings and D = 4, Phys. Lett. B 212 (1988) 147.
22. K.R. Dienes, E. Dudas and T. Gherghetta, Grand unification at intermediate mass scales through extra dimensions, Nucl. Phys. B 537 (1999) 47 [hep-ph/9806292].
23. T. Kobayashi, J. Kubo, M. Mondragon and G. Zoupanos, Running of soft parameters in extra space-time dimensions, Nucl. Phys. B 550 (1999) 99 [hep-ph/9812221];
24. J. Kubo, H. Terao and G. Zoupanos, Kaluza-klein thresholds and regularization (in)dependence, Nucl. Phys. B 574 (2000) 495 [hep-ph/9910277];
25. Running couplings in extra dimensions, hep-ph/0010069.
26. L. Castellani, On G/H geometry and its use in M theory compactifications, Ann. Phys. (NY) 287 (2001) 1 [hep-th/9912277].
27. D. Luest, Compactification of ten-dimensional superstring theories over Ricci flat coset spaces, Nucl. Phys. B 276 (1986) 220;
28. L. Castellani and D. Lüst, Superstring compactification on homogeneous coset spaces with torsion, Nucl. Phys. B 296 (1988) 143.
29. A.M. Gavrilik, Coset-space string compactification leading to 14 subcritical dimensions, hep-th/9911120.
30. F. Muller-Hoissen and R. Stuckl, Coset spaces and ten-dimensional unified theories, Class, and Quant. Grav. 5 (1988) 27;
31. N.A. Batakis, K. Farakos, D. Kapetanakis, G. Koutsoumbas and G. Zoupanos, Compactification over coset spaces with torsion and vanishing cosmological constant, Phys. Lett. B 220 (1989) 513.
32. C. Wetterich, Dimensional reduction of weyl, majorana and majorana-weyl spinors, Nucl. Phys. B 222 (1983) 20;
33. L. Palla, On dimensional reduction of gauge theories: symmetric fields and harmonic expansion, Z. Physik C 24 (1983) 195;
34. K. Pilch and A.N. Schellekens, Formulae for the eigenvalues of the laplacian on tensor harmonics on symmetric coset spaces, J. Math. Phys. 25 (1984) 3455;
35. P. Forgacs, Z. Horvath and L. Palla, Spontaneous compactification to nonsymmetric spaces, Z. Physik C 30 (1986) 261;
36. K.J. Barnes, P. Forgacs, M. Surridge and G. Zoupanos, On fermion masses in a dimensional reduction scheme, Z. Physik C 33 (1987) 427.
37. E. Witten, Some properties of O(32) superstrings, Phys. Lett. B 149 (1984) 351.
38. K. Pilch and A. N. Schellekens, Fermion spectra from superstrings, Nucl. Phys. B 259 (1985) 637;
39. D. Luest, Compactification of ten-dimensional superstring theories over Ricci flat coset spaces, Nucl. Phys. B 276 (1985) 220;
40. D. Kapetanakis and G. Zoupanos, A unified theory in higher dimensions, Phys. Lett. B 249 (1990) 66.
41. G. Chapline and N.S. Manton, The geometrical significance of certain Higgs potentials: an approach to grand unification, Nucl. Phys. B 184 (1981) 391;
42. K. Farakos, G. Koutsoumbas, M. Surridge and G. Zoupanos, Dimensional reduction and the Higgs potential, Nucl. Phys. B 291 (1987) 128;
43. G. Zoupanos, Dilaton and dynamical fermion mass generation, Phys. Lett. B 190 (1987) 127;
44. K. Farakos, G. Koutsoumbas, M. Surridge and G. Zoupanos, Geometrical hierarchy and spontaneous symmetry breaking, Phys. Lett. B 191 (1987) 135;
45. Y.A. Kubyshin, J.M. Mourao and I.P. Volobuev, Scalar fields in the dimensional reduction scheme for symmetric spaces, Int. J. Mod. Phys. A 4 (1989) 151;
46. F.A. Bais, K.J. Barnes, P. Forgacs and G. Zoupanos, Dimensional reduction of gauge theories yielding unified models spontaneously broken to SU(3) × U(1), Nucl. Phys. B 263 (1986) 557.
47. K. Farakos, G. Koutsoumbas, M. Surridge and G. Zoupanos, Dimensional reduction and the Higgs potential, Nucl. Phys. B 291 (1987) 128;
48. Geometrical hierarchy and spontaneous symmetry breaking, Phys. Lett. B 191 (1987) 135.
49. D. Kapetanakis and G. Zoupanos, Fermion masses from dimensional reduction, Phys. Lett. B 249 (1990) 73;
50. 8 in ten-dimensions, Z. Physik C 56 (1992) 91.
51. See e.g. I. Antoniadis and K. Benakli, Large dimensions and string physics in future colliders, Int. J. Mod. Phys. A 15 (2000) 4237 [hep-ph/0007226] and references therein;
52. Nima Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263;
53. Phenomenology, astrophysics and cosmology of theories with sub-millimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59 (1999) 086004 [hep-ph/9807344];
54. G.R. Dvali, S. Randjbar-Daemi and R. Tabbash, The origin of spontaneous symmetry breaking in theories with large extra dimensions, Phys. Rev. D 65 (2002) 064021 [hep-ph/0102307];
55. Y.A. Kubyshin, Models with extra dimensions and their phenomenology, hep-ph/0111027.
56. E. Fahri and L. Susskind, Technicolor, Phys. Rept. C74 (1981) 277;
57. C.T. Hill, Topcolor, Proc. of Nagoya Int. Workshop (1996), p. 54, [hep-ph/9702320] and references therein;
58. Topcolor: top quark condensation in a gauge extension of the standard model, Phys. Lett. B 266 (1991) 419;
59. Topocolor assisted technicolor, Phys. Lett. B 345 (1995) 483 [hep-ph/9411426].
60. G. Zoupanos, Fermion mass generation and electroweak symmetry breaking from color forces, Phys. Lett. B 129 (1983) 315;
61. P. Forgacs and G. Zoupanos, Dimensional reduction and dynamical symmetry breaking, Phys. Lett. B 148 (1984) 99;
62. D. Luest et al., Phenomenology of high color fermions, Nucl. Phys. B 268 (1986) 49.
63. G. Triantaphyllou, New physics with mirror particles, J. Phys. G 26 (2000) 99 [hep-ph/9811250];
64. G. Triantaphyllou and G. Zoupanos, Strongly interacting fermions from a higher-dimensional unified gauge theory, Phys. Lett. B 489 (2000) 420 [hep-ph/0006262];
65. G. Triantaphyllou, Mass generation and the dynamical role of the katoptron group, Mod. Phys. Lett. A 16 (2001) 53 [hep-ph/0010147].
66. M.B. Green and J.H. Schwarz, Anomaly cancellation in supersymmetric D = 10 gauge theory and superstring theory, Phys. Lett. B 149 (1984) 117;
67. L. Alvarez-Gaumé and E. Witten, Gravitational anomalies, Nucl. Phys. B 234 (1984) 269.
68. P. Hořava and E. Witten, Heterotic and type I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209];
69. E. Witten, Strong coupling expansion of Calabi- Yau compactification, Nucl. Phys. B 471 (1996) 135 [hep-th/9602070];
70. for a review see C. Muñoz, Effective supergravity from heterotic M-theory and its phenomenological implications, hep-th/9906152.
71. T. W. Kephart and M. T. Vaughn, Tensor methods for the exceptional group E6, Ann. Phys. (NY) 145 (1983) 162.
72. D. Lust and G. Zoupanos, Dimensional reduction of ten-dimensional E8 gauge theory over a compact coset space S/R, Phys. Lett. B 165 (1985) 309.
73. E. Witten, Dimensional reduction of superstring models, Phys. Lett. B 155 (1985) 151.
74. P. Forgoes, Z. Horvath and L. Palla, Stable compactifying Einstein Yang-Mills systems, Phys. Lett. B 147 (1984) 311;
75. P. Forgocs and G. Zoupanos, Dimensional reduction and dynamical symmetry breaking, Phys. Lett. B 148 (1984) 99;
76. R. Coquereaux and A. Jadczyk, Symmetries of Einstein Yang-Mills fields and dimensional reduction, Commun. Math. Phys. 98 (1985) 79;
77. A.N. Schellekens, Stability of higher dimensional Einstein Yang-Mills theories on symmetric spaces, Nucl. Phys. B 248 (1984) 706;
78. S. Randjbar-Daemi, A. Salam and J. Strathdee, Stability of instanton induced compactification in eight- dimensions, Nucl. Phys. B 242 (1984) 447;
79. Instability of higher dimensional Yang-Mills systems, Phys. Lett. B 124 (1983) 345.
80. B.E. Hanlon and G.C. Joshi, A three generation unified model from coset space dimensional reduction, Phys. Lett. B 298 (1993) 312.
81. G. Zoupanos, Wilson flux breaking and coset space dimensional reduction, Phys. Lett. B 201 (1988) 301.
82. N.G. Kozimirov, V.A. Kuzmin and I.I. Tkachev, Dimensional reduction on not simply connected homogeneous spaces, Sov. J. Nucl. Phys. 49 (1989) 164;
83. D. Kapetanakis and G. Zoupanos, Discrete symmetries and coset space dimensional reduction, Phys. Lett. B 232 (1989) 104.
84. Y. Hosotani, Dynamical mass generation by compact extra dimensions, Phys. Lett. B 126 (1983) 309;
85. Dynamical gauge symmetry breaking as the casimir effect, Phys. Lett. B 129 (1983) 193;
86. E. Witten, Symmetry breaking patterns in superstring models, Nucl. Phys. B 258 (1985) 75;
87. J.D. Breit, B.A. Ovrut and G.C. Segre, E(6) symmetry breaking in the superstring theory, Phys. Lett. B 158 (1985) 33;
88. B. Greene, K. Kirlkin and P.J. Miron, Superstring models with SU(5) and SO (10) unifying group, Nucl. Phys. B 274 (1986) 574;
89. A three generation superstring model. 1. compactification and discrete symmetries, Nucl. Phys. B 278 (1986) 667.