Consistency of higher derivative gravity in the brane background

Journal of High Energy Physics

Volumn 4, Issue 9 PART B, 2000, Pages 19-23

  Neupane, Ishwaree P ^a  

^a Seoul National University   (South Korea)

Author keywords

Brane Dynamics in Gauge Theories; Classical Theories of Gravity; Models of Quantum Gravity; p branes

Indexed keywords

EID: 7044272725     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/09/040     Document Type: Article

References (39)

1. B.S.De Witt, Dynamical theory of groups and fields, Gordon and Breach, New York 1965.
2. C. Wetterich, Spontaneous compactification in higher dimensional gravity, Phys. Lett. B 113 (1982) 377; Q. Shaft and C. Wetterich, Cosmology from higher dimensional gravity, Phys. Lett. B 129 (1983) 387.
3. C. Wetterich, Spontaneous compactification in higher dimensional gravity, Phys. Lett. B 113 (1982) 377; Q. Shaft and C. Wetterich, Cosmology from higher dimensional gravity, Phys. Lett. B 129 (1983) 387.
4. Modern Kaluza-Klein theories, T. Appelquist, A. Chodes and P.G. Freud eds., Addison Wesley, 1987.
5. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064].
6. V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett. B 125 (1983) 136; K. Akama, An early proposal of 'brane world', Lect. Notes Phys. 176 (1982) 267 [hep-th/0001113]; M. Goberashvili, Four dimensionality in noncompact Kaluza-Klein model, Mod. Phys. Lett. A 14 (1999) 2025 [hep-ph/9904383]; M. Visser, An exotic class of Kaluza-Klein models, Phys. Lett. B 159 (1985) 22 [hep-th/9910093].
7. V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett. B 125 (1983) 136; K. Akama, An early proposal of 'brane world', Lect. Notes Phys. 176 (1982) 267 [hep-th/0001113]; M. Goberashvili, Four dimensionality in noncompact Kaluza-Klein model, Mod. Phys. Lett. A 14 (1999) 2025 [hep-ph/9904383]; M. Visser, An exotic class of Kaluza-Klein models, Phys. Lett. B 159 (1985) 22 [hep-th/9910093].
8. V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett. B 125 (1983) 136; K. Akama, An early proposal of 'brane world', Lect. Notes Phys. 176 (1982) 267 [hep-th/0001113]; M. Goberashvili, Four dimensionality in noncompact Kaluza-Klein model, Mod. Phys. Lett. A 14 (1999) 2025 [hep-ph/9904383]; M. Visser, An exotic class of Kaluza-Klein models, Phys. Lett. B 159 (1985) 22 [hep-th/9910093].
9. V.A. Rubakov and M.E. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett. B 125 (1983) 136; K. Akama, An early proposal of 'brane world', Lect. Notes Phys. 176 (1982) 267 [hep-th/0001113]; M. Goberashvili, Four dimensionality in noncompact Kaluza-Klein model, Mod. Phys. Lett. A 14 (1999) 2025 [hep-ph/9904383]; M. Visser, An exotic class of Kaluza-Klein models, Phys. Lett. B 159 (1985) 22 [hep-th/9910093].
10. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. A.-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398];
11. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. A.-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398];
12. N. Arkani-Hamed, S. Dimopoulos, G. Dvali and N. Kaloper, Infinitely large new dimensions, Phys. Rev. Lett. 84 (2000) 586 [hep-th/9907209].
13. C. Csáki, J. Erlich, T.J. Hollowood and Y. Shirman, Universal aspects of gravity localized on thick branes, Nucl. Phys. B 581 (2000) 309 [hep-th/0001033].
14. T. Gherghetta and M. Shaposhnikov, Localizing gravity on a string-like defect in six dimensions, Phys. Rev. Lett. 85 (2000) 240 [hep-th/0004014]; T. Gherghetta, E. Roessl and M. Shaposhnikov, Living inside a hedgehog: higher-dimensional solutions that localize gravity, hep-th/0006251.
15. T. Gherghetta and M. Shaposhnikov, Localizing gravity on a string-like defect in six dimensions, Phys. Rev. Lett. 85 (2000) 240 [hep-th/0004014]; T. Gherghetta, E. Roessl and M. Shaposhnikov, Living inside a hedgehog: higher-dimensional solutions that localize gravity, hep-th/0006251.
16. I. Oda, Localization of matters on a string-like defect, hep-th/0006203; T. Gherghetta, E. Roessl and M. Shaposhnikov, Living inside a hedgehog: higher-dimensional solutions that localize gravity, hep-th/0006251; I. Oda, Localization of gravitino on a brane, hep-th/0008134.
17. I. Oda, Localization of matters on a string-like defect, hep-th/0006203; T. Gherghetta, E. Roessl and M. Shaposhnikov, Living inside a hedgehog: higher-dimensional solutions that localize gravity, hep-th/0006251; I. Oda, Localization of gravitino on a brane, hep-th/0008134.
18. I. Oda, Localization of matters on a string-like defect, hep-th/0006203; T. Gherghetta, E. Roessl and M. Shaposhnikov, Living inside a hedgehog: higher-dimensional solutions that localize gravity, hep-th/0006251; I. Oda, Localization of gravitino on a brane, hep-th/0008134.
19. A. Chodos and E. Poppitz, Warp factors and extended sources in two transverse dimensions, Phys. Lett. B 471 (1999) 119 [hep-th/9909199].
20. A.G. Cohen and D.B. Kaplan, Solving the hierarchy problem with noncompact extra dimensions, Phys. Lett. B 470 (1999) 52 [hep-th/9910132].
21. R. Gregory, Nonsingular global string compactifications, Phys. Rev. Lett. 84 (2000) 2564 [hep-th/9911015].
22. J. Garriga and M. Sasaki, Brane-world creation and black holes, Phys. Rev. D 62 (2000) 043523 [hep-th/9912118].
23. I. Olasagasti and A. Vilenkin, Gravity of higher-dimensional global defects, Phys. Rev. D 62 (2000) 044014 [hep-th/0003300].
24. L. Anchordoqui, C. Nunez and K. Olsen, Quantum cosmology and AdS/CFT, hep-th/0007064.
25. K.S. Stelle, Renormalization of higher derivative quantum gravity, Phys. Rev. D 16 (1977) 953.
26. M.B. Green, J.H. Schwartz and E. Witten, Superstring theory, Cambridge University Press, Cambridge 1987.
27. S. Nojiri and S.D. Odintsov, Brane-world cosmology in higher derivative gravity or warped compactification in the next-to-leading order of AdS/CFT correspondence, J. High Energy Phys. 07 (2000) 049 [hep-th/0006232].
28. I. Low and A. Zee, Naked singularity and Gauss-Bonnet term in brane world scenarios, Nucl. Phys. B 585 (2000) 395 [hep-th/0004124].
29. J.E. Kim, B. Kyae and H.M. Lee, Various modified solutions of the Randall-Sundrum model with the Gauss-Bonnet interaction, Nucl. Phys. B 582 (2000) 296 [hep-th/0004005].
30. R.R. Metsaev and A.A. Tseytlin, Order α′ (two loop) equivalence of the string equations of motion and the sigma model weyl invariance conditions: dependence on the dilaton and the antisymmetric tensor, Nucl. Phys. B 293 (1987) 385; A.A. Tseytlin, Heterotic-type-I superstring duality and low-energy effective actions, Nucl. Phys. B 467 (1996) 383 [hep-th/9512081].
31. R.R. Metsaev and A.A. Tseytlin, Order α′ (two loop) equivalence of the string equations of motion and the sigma model weyl invariance conditions: dependence on the dilaton and the antisymmetric tensor, Nucl. Phys. B 293 (1987) 385; A.A. Tseytlin, Heterotic-type-I superstring duality and low-energy effective actions, Nucl. Phys. B 467 (1996) 383 [hep-th/9512081].
32. E.S. Pradkin and A.A. Tseytlin, Quantum string theory effective action, Nucl. Phys. B 261 (1985) 1; D.J. Gross and J.H. Sloan, The quartic effective action for the heterotic string, Nucl. Phys. B 291 (1987) 41.
33. E.S. Pradkin and A.A. Tseytlin, Quantum string theory effective action, Nucl. Phys. B 261 (1985) 1; D.J. Gross and J.H. Sloan, The quartic effective action for the heterotic string, Nucl. Phys. B 291 (1987) 41.
34. A.L. Maroto and I.L. Shapiro, On the inflationary solutions in higher-derivative gravity with dilaton field, Phys. Lett. B 414 (1997) 34 [hep-th/9706179].
35. N.B. Mavromatos and J. Rizos, String inspired higher-curvature terms and the Randall-Sundrum scenario, hep-th/0008074.
36. G. Dvali, I.I. Kogan and M. Shifman, Topological effects in our brane world from extra dimensions, Phys. Rev. D 62 (2000) 106001 [hep-th/0006213].
37. Y.M. Cho, Higher-dimensional unifications of gravitation and gauge theories, J. Math. Phys. 16 (1975) 2029.
38. J. Maldacena and C. Nunez, Supergravity description of field theories on curved manifolds and a no go theorem, hep-th/0007018.
39. S. Nojiri and S.D. Odintsov, Can we live on the brane in Schwarzschild-anti de Sitter black hole?, hep-th/0007205.