Bulk axions, brane back-reaction and fluxes

Journal of High Energy Physics

Volumn 2011, Issue 2, 2011, Pages

  Burgess, C P ^a,b   Van Nierop, L ^a  

^a MCMASTER UNIVERSITY   (Canada)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

Field theories in higher dimensions; Flux compactifications

Indexed keywords

EID: 80053126464     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2011)094     Document Type: Article

References (89)

1. N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315].
2. N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, Phenomenology, astrophysics and cosmology of theories with sub-millimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59 (1999) 086004 [hep-ph/9807344].
3. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398].
4. K. Benakli, Phenomenology of low quantum gravity scale models, Phys. Rev. D 60 (1999) 104002 [hep-ph/9809582].
5. C. P. Burgess, L. E. Ibáñez and F. Quevedo, Strings at the intermediate scale or is the Fermi scale dual to the Planck scale?, Phys. Lett. B 447 (1999) 257 [hep-ph/9810535].
6. P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142].
7. P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209].
8. E. Witten, Strong coupling expansion of Calabi-Yau compactification, Nucl. Phys. B 471 (1996) 135 [hep-th/9602070].
9. J. D. Lykken, Weak scale superstrings, Phys. Rev. D 54 (1996) 3693 [hep-th/9603133].
10. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
11. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064].
12. W. D. Goldberger and M. B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447].
13. P. Binetruy, C. Deffayet and D. Langlois, Non-conventional cosmology from a brane-universe, Nucl. Phys. B 565 (2000) 269 [hep-th/9905012].
14. P. Kanti, I. I. Kogan, K. A. Olive and M. Pospelov, Cosmological 3-brane solutions, Phys. Lett. B 468 (1999) 31 [hep-ph/9909481].
15. J. M. Cline, C. Grojean and G. Servant, Cosmological expansion in the presence of extra dimensions, Phys. Rev. Lett. 83 (1999) 4245 [hep-ph/9906523].
16. B. R. Greene, A. D. Shapere, C. Vafa and S.-T. Yau, Stringy cosmic strings and noncompact Calabi-Yau manifolds, Nucl. Phys. B 337 (1990) 1.
17. S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055].
18. D. Baumann et al., On D3-brane potentials in compactifications with fluxes and wrapped D-branes, JHEP 11 (2006) 031 [hep-th/0607050].
19. D. Baumann, A. Dymarsky, I. R. Klebanov and L. McAllister, Towards an explicit model of D-brane inflation, JCAP 01 (2008) 024 [arXiv:0706.0360].
20. A. Kehagias, A conical tear drop as a vacuum-energy drain for the solution of the cosmological constant problem, Phys. Lett. B 600 (2004) 133 [hep-th/0406025].
21. T. Kobayashi and M. Minamitsuji, Brane cosmological solutions in six-dimensional warped flux compactifications, JCAP 07 (2007) 016 [arXiv:0705.3500].
22. D. Kiley, Rotating black holes on codimension-2 branes, Phys. Rev. D 76 (2007) 126002 [arXiv:0708.1016].
23. F. Leblond, R. C. Myers and D. J. Winters, Consistency conditions for brane worlds in arbitrary dimensions, JHEP 07 (2001) 031 [hep-th/0106140].
24. S. M. Carroll and M. M. Guica, Sidestepping the cosmological constant with football-shaped extra dimensions, hep-th/0302067.
25. I. Navarro, Codimension two compactifications and the cosmological constant problem, JCAP 09 (2003) 004 [hep-th/0302129].
26. E. Papantonopoulos and A. Papazoglou, Brane-bulk matter relation for a purely conical codimension-2 brane world, JCAP 07 (2005) 004 [hep-th/0501112].
27. 2 of N = 2 Einstein-Maxwell supergravity in six-dimensions, Phys. Lett. B 147 (1984) 47.
28. Y. Aghababaie, C. P. Burgess, S. L. Parameswaran and F. Quevedo, Towards a naturally small cosmological constant from branes in 6D supergravity, Nucl. Phys. B 680 (2004) 389 [hep-th/0304256].
29. S. L. Parameswaran, G. Tasinato and I. Zavala, The 6D superswirl, Nucl. Phys. B 737 (2006) 49 [hep-th/0509061].
30. H. M. Lee and C. Lüdeling, The general warped solution with conical branes in six-dimensional supergravity, JHEP 01 (2006) 062 [hep-th/0510026].
31. H. M. Lee and A. Papazoglou, Supersymmetric codimension-two branes in six-dimensional gauged supergravity, JHEP 01 (2008) 008 [arXiv:0710.4319].
32. C. P. Burgess, S. L. Parameswaran and I. Zavala, The fate of unstable gauge flux compactifications, JHEP 05 (2009) 008 [arXiv:0812.3902].
33. C. P. Burgess, Goldstone and pseudo-Goldstone bosons in nuclear, particle and condensed-matter physics, Phys. Rept. 330 (2000) 193 [hep-th/9808176].
34. C. P. Burgess, D. Hoover and G. Tasinato, UV caps and modulus stabilization for 6D gauged chiral supergravity, JHEP 09 (2007) 124 [arXiv:0705.3212].
35. C. P. Burgess, D. Hoover, C. de Rham and G. Tasinato, Effective field theories and matching for codimension-2 branes, JHEP 03 (2009) 124 [arXiv:0812.3820].
36. C. P. Burgess, D. Hoover and G. Tasinato, Technical naturalness on a codimension-2 brane, JHEP 06 (2009) 014 [arXiv:0903.0402].
37. A. Bayntun, C. P. Burgess and L. van Nierop, Codimension-2 brane-bulk matching: examples from six and ten dimensions, New J. Phys. 12 (2010) 075015 [arXiv:0912.3039].
38. P. Bostock, R. Gregory, I. Navarro and J. Santiago, Einstein gravity on the codimension 2 brane?, Phys. Rev. Lett. 92 (2004) 221601 [hep-th/0311074].
39. I. Navarro and J. Santiago, Gravity on codimension 2 brane worlds, JHEP 02 (2005) 007 [hep-th/0411250].
40. J. Vinet and J. M. Cline, Codimension-two branes in six-dimensional supergravity and the cosmological constant problem, Phys. Rev. D 71 (2005) 064011 [hep-th/0501098].
41. M. Peloso, L. Sorbo and G. Tasinato, Standard 4d gravity on a brane in six dimensional flux compactifications, Phys. Rev. D 73 (2006) 104025 [hep-th/0603026].
42. B. Himmetoglu and M. Peloso, Isolated Minkowski vacua and stability analysis for an extended brane in the rugby ball, Nucl. Phys. B 773 (2007) 84 [hep-th/0612140].
43. B. Himmetoglu and M. Peloso, Isolated Minkowski vacua and stability analysis for an extended brane in the rugby ball, Nucl. Phys. B 773 (2007) 84 [hep-th/0612140].
44. E. Papantonopoulos, A. Papazoglou and V. Zamarias, Regularization of conical singularities in warped six-dimensional compactifications, JHEP 03 (2007) 002 [hep-th/0611311].
45. E. Papantonopoulos, A. Papazoglou and V. Zamarias, Induced cosmology on a regularized brane in six-dimensional flux compactification, Nucl. Phys. B 797 (2008) 520 [arXiv:0707.1396].
46. 2 symmetry, Prog. Theor. Phys. 118 (2007) 245 [arXiv:0705.2443].
47. N. Kaloper and D. Kiley, Charting the landscape of modified gravity, JHEP 05 (2007) 045 [hep-th/0703190].
48. M. Minamitsuji and D. Langlois, Cosmological evolution of regularized branes in 6D warped flux compactifications, Phys. Rev. D 76 (2007) 084031 [arXiv:0707.1426].
49. S. A. Appleby and R. A. Battye, Regularized braneworlds of arbitrary codimension, Phys. Rev. D 76 (2007) 124009 [arXiv:0707.4238].
50. C. Bogdanos, A. Kehagias and K. Tamvakis, Pseudo-3-branes in a curved 6D bulk, Phys. Lett. B 656 (2007) 112 [arXiv:0709.0873].
51. O. Corradini, K. Koyama and G. Tasinato, Induced gravity on intersecting brane-worlds Part I: Maximally symmetric solutions, Phys. Rev. D 77 (2008) 084006 [arXiv:0712.0385].
52. F. Arroja, T. Kobayashi, K. Koyama and T. Shiromizu, Low energy effective theory on a regularized brane in 6D gauged chiral supergravity, JCAP 12 (2007) 006 [arXiv:0710.2539].
53. O. Corradini, K. Koyama and G. Tasinato, Induced gravity on intersecting brane-worlds Part II: Cosmology, Phys. Rev. D 78 (2008) 124002 [arXiv:0803.1850].
54. V. Dzhunushaliev, V. Folomeev and M. Minamitsuji, Thick brane solutions, Rept. Prog. Phys. 73 (2010) 066901 [arXiv:0904.1775].
55. K. Lanczos, Bemerkung zur de Sitterschen welt, Phys. Z. 23 (1922) 239.
56. K. Lanczos, Flächenhafte verteilung der materie in der Einsteinschen gravitationstheorie, Ann. Phys. 74 (1924) 518.
57. C. W. Misner and D. H. Sharp, Relativistic equations for adiabatic, spherically symmetric gravitational collapse, Phys. Rev. B 136 (1964) 571.
58. W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuov. Cim. 44 B (1966) 1
59. [Erratum Nuov. Cim. 48 B (1966) 463].
60. T. Damour and A. M. Polyakov, The string dilaton and a least coupling principle, Nucl. Phys. B 423 (1994) 532 [hep-th/9401069].
61. P. Brax, C. van de Bruck, A.-C. Davis and D. Shaw, The dilaton and modified gravity, Phys. Rev. D 82 (2010) 063519 [arXiv:1005.3735].
62. E. Dudas, C. Papineau and V. A. Rubakov, Flowing to four dimensions, JHEP 03 (2006) 085 [hep-th/0512276].
63. E. Dudas and C. Papineau, Dual realizations of dynamical symmetry breaking, JHEP 11 (2006) 010 [hep-th/0608054].
64. C. P. Burgess, C. de Rham and L. van Nierop, The hierarchy problem and the self-localized Higgs, JHEP 08 (2008) 061 [arXiv:0802.4221].
65. S. Weinberg, Gravitation and cosmology, Wiley, New York, U. S. A. (1973).
66. C. W. Misner, J. A. Wheeler and K. S. Thorne, Gravitation, W. H. Freeman & Company, Reading, England (1973).
67. A. Vilenkin, Gravitational field of vacuum domain walls and strings, Phys. Rev. D 23 (1981) 852.
68. W. A. Hiscock, Exact gravitational field of a string, Phys. Rev. D 31 (1985) 3288.
69. A. J. Tolley, C. P. Burgess, C. de Rham and D. Hoover, Scaling solutions to 6D gauged chiral supergravity, New J. Phys. 8 (2006) 324 [hep-th/0608083].
70. A. J. Tolley, C. P. Burgess, C. de Rham and D. Hoover, Exact wave solutions to 6D gauged chiral supergravity, JHEP 07 (2008) 075 [arXiv:0710.3769].
71. M. Minamitsuji, Instability of brane cosmological solutions with flux compactifications, Class. Quant. Grav. 25 (2008) 075019 [arXiv:0801.3080].
72. H. M. Lee and A. Papazoglou, Codimension-2 brane inflation, Phys. Rev. D 80 (2009) 043506 [arXiv:0901.4962].
73. H. M. Lee and A. Papazoglou, Scalar mode analysis of the warped Salam-Sezgin model, Nucl. Phys. B 747 (2006) 294 [hep-th/0602208].
74. C. P. Burgess, C. de Rham, D. Hoover, D. Mason and A. J. Tolley, Kicking the rugby ball: Perturbations of 6D gauged chiral supergravity, JCAP 02 (2007) 009 [hep-th/0610078].
75. S. L. Parameswaran, S. Randjbar-Daemi and A. Salvio, Gauge fields, fermions and mass gaps in 6D brane worlds, Nucl. Phys. B 767 (2007) 54 [hep-th/0608074].
76. S. L. Parameswaran, S. Randjbar-Daemi and A. Salvio, Stability and negative tensions in 6D brane worlds, JHEP 01 (2008) 051 [arXiv:0706.1893].
77. S. L. Parameswaran, S. Randjbar-Daemi and A. Salvio, General perturbations for braneworld compactifications and the six dimensional case, JHEP 03 (2009) 136 [arXiv:0902.0375].
78. W. D. Goldberger and M. B. Wise, Renormalization group flows for brane couplings, Phys. Rev. D 65 (2002) 025011 [hep-th/0104170].
79. E. Dudas, C. Papineau and V. A. Rubakov, Flowing to four dimensions, JHEP 03 (2006) 085 [hep-th/0512276].
80. C. de Rham, The effective field theory of codimension-two branes, JHEP 01 (2008) 060 [arXiv:0707.0884].
81. F. Del Aguila, M. Pérez-Victoria and J. Santiago, Effective description of brane terms in extra dimensions, JHEP 10 (2006) 056 [hep-ph/0601222].
82. K. A. Milton, S. D. Odintsov and S. Zerbini, Bulk versus brane running couplings, Phys. Rev. D 65 (2002) 065012 [hep-th/0110051].
83. C. P. Burgess, Quantum gravity in everyday life: General relativity as an effective field theory, Living Rev. Rel. 7 (2004) 5 [gr-qc/0311082].
84. J. F. Donoghue, Introduction to the effective field theory description of gravity, gr-qc/9512024.
85. C. P. Burgess, P. Grenier and D. Hoover, Quintessentially flat scalar potentials, JCAP 03 (2004) 008 [hep-ph/0308252].
86. K. Freese, J. A. Frieman and A. V. Olinto, Natural inflation with pseudo Nambu-Goldstone bosons, Phys. Rev. Lett. 65 (1990) 3233.
87. C. M. Will, The confrontation between general relativity and experiment, Living Rev. Rel. 9 (2005) 3 [gr-qc/0510072].
88. E. G. Adelberger, B. R. Heckel and A. E. Nelson, Tests of the gravitational inverse-square law, Ann. Rev. Nucl. Part. Sci. 53 (2003) 77 [hep-ph/0307284].
89. C. Brans and R. H. Dicke, Mach's principle and a relativistic theory of gravitation, Phys. Rev. 124 (1961) 925.