Locally localized gravity: The inside story

Journal of High Energy Physics

Volumn , Issue 8, 2005, Pages 1783-1815

  Kaloper, Nemanja ^a,b   Sorbo, Lorenzo ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

AdS CFT and dS CFT Correspondence; Field Theories in Higher Dimensions; Models of Quantum Gravity

Indexed keywords

EID: 24944481095     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/08/070     Document Type: Article

References (70)

1. L. Randall and R. Sundrum, An alternative to compactification 1999 Phys. Rev. Lett. 83 4690 [hep-th/9906064]
2. N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali and N. Kaloper, Infinitely large new dimensions 2000 Phys. Rev. Lett. 84 586 [hep-th/9907209]
3. N. Kaloper, Origami world 2004 J. High Energy Phys. JHEP05(2004)061 [hep-th/0403208]
4. N. Kaloper, Bent domain walls as braneworlds 1999 Phys. Rev. D 60 123506 [hep-th/9905210]
5. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
6. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
7. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
8. for a review see O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity 2000 Phys. Rep. 323 183 [hep-th/9905111]
9. J. Maldacena, unpublished
10. E. Witten, unpublished
11. H.L. Verlinde, Holography and compactification 2000 Nucl. Phys. B 580 264 [hep-th/9906182]
12. S.S. Gubser, AdS/CFT and gravity 2001 Phys. Rev. D 63 084017 [hep-th/9912001]
13. S.B. Giddings, E. Katz and L. Randall, Linearized gravity in brane backgrounds 2000 J. High Energy Phys. JHEP03(2000)023 [hep-th/0002091]
14. M.J. Duff and J.T. Liu, Complementarity of the Maldacena and Randall-Sundrum pictures 2000 Phys. Rev. Lett. 85 2052 [hep-th/0003237]
15. N. Arkani-Hamed, M. Porrati and L. Randall, Holography and phenomenology 2001 J. High Energy Phys. JHEP08(2001)017 [hep-th/0012148]
16. O. DeWolfe, D.Z. Freedman, S.S. Gubser and A. Karch, Modeling the fifth dimension with scalars and gravity 2000 Phys. Rev. D 62 046008 [hep-th/9909134]
17. A. Karch and L. Randall, Locally localized gravity 2001 J. High Energy Phys. JHEP05(2001)008 [hep-th/0011156]
18. A. Miemiec, A power law for the lowest eigenvalue in localized massive gravity 2001 Fortschr. Phys. 49 747 [hep-th/0011160]
19. M.D. Schwartz, The emergence of localized gravity 2001 Phys. Lett. B 502 223 [hep-th/0011177]
20. A. Karch and L. Randall, Localized gravity in string theory 2001 Phys. Rev. Lett. 87 061601 [hep-th/0105108]
21. A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT's on branes with boundaries 2001 J. High Energy Phys. JHEP06(2001)063 [hep-th/0105132]
22. H. van Dam and M.J.G. Veltman, Massive and massless Yang-Mills and gravitational fields 1970 Nucl. Phys. B 22 397
23. V.I. Zakharov, Linearized gravitation theory and the graviton mass 1970 Sov. Phys. JETP Lett. 12 312
24. A.I. Vainshtein, To the problem of nonvanishing gravitation mass 1972 Phys. Lett. B 39 393
25. 4: how to circumvent the van Dam-Veltman-Zakharov discontinuity 2001 Phys. Lett. B 503 173 [hep-th/0011138]
26. A new bigravity model with exclusively positive branes 2001 Phys. Lett. B 501 140 [hep-th/0011141]
27. ads, 2001 J. High Energy Phys. JHEP12(2001)016 [hep-th/0106261]
28. N. Arkani-Hamed, H. Georgi and M.D. Schwartz, Effective field theory for massive gravitons and gravity in theory space 2003 Ann. Phys. (NY) 305 96 [hep-th/0210184]
29. S. Deser and R.I. Nepomechie, Gauge invariance versus masslessness in de Sitter space 1984 Ann. Phys. (NY) 154 396
30. A. Higuchi, Forbidden mass range for spin-2 field theory in de Sitter space-time 1987 Nucl. Phys. B 282 397
31. R. Bousso and L. Randall, Holographic domains of anti-de Sitter space 2002 J. High Energy Phys. JHEP04(2002)057 [hep-th/0112080]
32. M. Porrati, Mass and gauge invariance, IV. Holography for the Karch-Randall model 2002 Phys. Rev. D 65 044015 [hep-th/0109017]
33. Higgs phenomenon for 4D gravity in anti de Sitter space 2002 J. High Energy Phys. JHEP04(2002)058 [hep-th/0112166]
34. Higgs phenomenon for the graviton in AdS space 2003 Mod. Phys. Lett. A 18 1793 [hep-th/0306253]
35. M.J. Duff, J.T. Liu and H. Sati, Complementarity of the Maldacena and Karch-Randall pictures 2004 Phys. Rev. D 69 085012 [hep-th/0207003]
36. O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories 2002 Phys. Rev. D 66 025009 [hep-th/0111135]
37. O. Aharony, O. DeWolfe, D.Z. Freedman and A. Karch, Defect conformal field theory and locally localized gravity 2003 J. High Energy Phys. JHEP07(2003)030 [hep-th/0303249]
38. F.A.E. Pirani, Gravitational waves in general relativity, IV. The gravitational field of a fast-moving particle 1959 Proc. R. Soc. A 252 96
39. P.C. Aichelburg and R.U. Sexl, On the gravitational field of a massless particle 1971 Gen. Rel. Grav. 2 303
40. S. Dimopoulos, S. Kachru, N. Kaloper, A.E. Lawrence and E. Silverstein, Small numbers from tunneling between brane throats 2001 Phys. Rev. D 64 121702 [hep-th/0104239]
41. S. Dimopoulos, S. Kachru, N. Kaloper, A.E. Lawrence and E. Silverstein, Generating small numbers by tunneling in multi-throat compactifications 2004 Int. J. Mod. Phys. A 19 2657 [hep-th/0106128]
42. G. 't Hooft, Graviton dominance in ultrahigh-energy scattering 1987 Phys. Lett. B 198 61
43. D. Amati, M. Ciafaloni and G. Veneziano, Superstring collisions at planckian energies 1987 Phys. Lett. B 197 81
44. D. Amati, M. Ciafaloni and G. Veneziano, Classical and quantum gravity effects from planckian energy superstring collisions 1988 Int. J. Mod. Phys. A 3 1615
45. I.J. Muzinich and M. Soldate, High-energy unitarity of gravitation and strings 1988 Phys. Rev. D 37 359
46. N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter 1998 Phys. Lett. B 429 263 [hep-ph/9803315]
47. N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, Phenomenology, astrophysics and cosmology of theories with sub-millimeter dimensions and TeV scale quantum gravity 1999 Phys. Rev. D 59 086004 [hep-ph/9807344]
48. L. Susskind and E. Witten, The holographic bound in anti-de Sitter space [hep-th/9805114]
49. T. Dray and G. 't Hooft, The gravitational shock wave of a massless particle 1985 Nucl. Phys. B 253 173
50. T. Dray and G. 't Hooft, The gravitational effect of colliding planar shells of matter 1986 Class. Quantum Grav. 3 825
51. V. Ferrari, P. Pendenza and G. Veneziano, Beamlike gravitational waves and their geodesics 1988 Gen. Rel. Grav. 20 1185
52. H. de Vega and N. Sanchez, Quantum string scattering in the Aichelburg-Sexl geometry 1989 Nucl. Phys. B 317 706
53. C. Barrabes and P.A. Hogan, The Aichelburg-Sexl boost of an isolated source in general relativity 2001 Phys. Rev. D 64 044022 [gr-qc/0110032]
54. M. Hotta and M. Tanaka, Shock wave geometry with nonvanishing cosmological constant 1993 Class. Quantum Grav. 10 307
55. J. Podolsky and J.B. Griffiths, Impulsive gravitational waves generated by null particles in de Sitter and anti-de Sitter backgrounds 1997 Phys. Rev. D 56 4756
56. K. Sfetsos, On gravitational shock waves in curved space-times 1995 Nucl. Phys. B 436 721 [hep-th/9408169]
57. G.T. Horowitz and N. Itzhaki, Black holes, shock waves and causality in the AdS/CFT correspondence 1999 J. High Energy Phys. JHEP02(1999)010 [hep-th/9901012]
58. R. Emparan, Exact gravitational shockwaves and planckian scattering on branes 2001 Phys. Rev. D 64 024025 [hep-th/0104009]
59. N. Kaloper, Brane-induced gravity's shocks 2005 Phys. Rev. Lett. 94 181601 [hep-th/0501028]
60. N. Kaloper, Gravitational shock waves and their scattering in brane- induced gravity 2005 Phys. Rev. D 71 086003 [hep-th/0502035]
61. K. Sfetsos, Stochastic tachyon fluctuations, marginal deformations and shock waves in string theory 1995 Phys. Rev. D 52 2323 [hep-th/9412065]
62. K. Sfetsos, Fundamental branes and shock waves [hep-th/0507134]
63. G.R. Dvali, G. Gabadadze and M. Porrati, 4d gravity on a brane in 5d minkowski space 2000 Phys. Lett. B 485 208 [hep-th/0005016]
64. G.R. Dvali and G. Gabadadze, Gravity on a brane in infinite-volume extra space 2001 Phys. Rev. D 63 065007 [hep-th/0008054]
65. M. Bander and C. Itzykson, Group theory and the hydrogen atom, II 1966 Rev. Mod. Phys. 38 346
66. C. Grosche and F. Steiner, The path integral on the pseudosphere 1988 Ann. Phys. (NY) 182 120
67. Bateman manuscript project: higher transcendental functions A. Erdelyi ed., McGraw-Hill, New York, 1953
68. I.S. Gradshtein and I.M. Ryzhik, Table of integrals, series and products (Academic Press), New York, 1980
69. M. Abramowitz and I. A. Stegun, Handbook of mathematical functions Dover Publications, 1974
70. d+1, 1999 Nucl. Phys. B 550 261 [hep-th/9811257]