Effective potential and warp factor dynamics

Journal of High Energy Physics

Volumn 2010, Issue 3, 2010, Pages

  Douglas, Michael R ^a,b  

^a STONY BROOK UNIVERSITY   (United States)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

DS vacua in string theory; Flux compactifications; Superstring Vacua

Indexed keywords

EID: 77954945667     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2010)071     Document Type: Article

References (38)

1. B.S. Acharya and M.R. Douglas, A finite landscape?, hep-th/0606212 [SPIRES].
2. K. Akutagawa, M. Ishida and C. LeBrun, Perelman's invariant, Ricci flow, and the Yamabe invariants of smooth manifolds, Archiv der Mathematik 88 (2007) 71 [math.DG/0610130].
3. M. Alishahiha, E. Silverstein and D. Tong, DBI in the sky, Phys. Rev. D 70 (2004) 123505 [hep-th/0404084] [SPIRES].
4. 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] [SPIRES].
5. T. Banks, Landskepticism or why effective potentials don't count string models, hep-th/0412129 [SPIRES].
6. K. Becker and M. Becker, M-theory on eight-manifolds, Nucl. Phys. B 477 (1996) 155 [hep-th/9605053] [SPIRES].
7. R. Bousso and J. Polchinski, Quantization of four-form fluxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134] [SPIRES].
8. U.H. Danielsson, S.S. Haque, G. Shiu and T. Van Riet, Towards classical de Sitter solutions in string theory, JHEP 09 (2009) 114 [arXiv:0907.2041] [SPIRES].
9. S.P. de Alwis, On potentials from fluxes, Phys. Rev. D 68 (2003) 126001 [hep-th/0307084] [SPIRES].
10. F. Denef, M.R. Douglas and B. Florea, Building a better racetrack, JHEP 06 (2004) 034 [hep-th/0404257] [SPIRES].
11. B. de Wit, D.J. Smit and N.D. Hari Dass, Residual supersymmetry of compactified D = 10 supergravity, Nucl. Phys. B 283 (1987) 165 [SPIRES].
12. O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization, JHEP 07 (2005) 066 [hep-th/0505160] [SPIRES].
13. M. Dine and N. Seiberg, Is the superstring weakly coupled?, Phys. Lett. B 162 (1985) 299 [SPIRES].
14. M.R. Douglas, Statistical analysis of the supersymmetry breaking scale, hep-th/0405279 [SPIRES].
15. M.R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [hep-th/0610102] [SPIRES].
16. M.R. Douglas and G. Torroba, Kinetic terms in warped compactifications, JHEP 05 (2009) 013 [arXiv:0805.3700] [SPIRES].
17. M.J. Duff, B.E.W. Nilsson and C.N. Pope, Kaluza-Klein supergravity, Phys. Rept. 130 (1986) 1 [SPIRES].
18. A.R. Frey, G. Torroba, B. Underwood and M.R. Douglas, The universal Kähler modulus in warped compactifications, JHEP 01 (2009) 036 [arXiv:0810.5768] [SPIRES].
19. G.W. Gibbons, Aspects of supergravity theories, three lectures given at GIFT Seminar on Theoretical Physics, June 4-11, San Feliu de Guixols, Spain (1984), published in GIFT Seminar 1984:0123.
20. G.W. Gibbons, Thoughts on tachyon cosmology, Class. Quant. Grav. 20 (2003) S321 [hep-th/0301117] [SPIRES].
21. S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [SPIRES].
22. S.B. Giddings, The fate of four dimensions, Phys. Rev. D 68 (2003) 026006 [hep-th/0303031] [SPIRES].
23. S.B. Giddings and A. Maharana, Dynamics of warped compactifications and the shape of the warped landscape, Phys. Rev. D 73 (2006) 126003 [hep-th/0507158] [SPIRES].
24. M.P. Hertzberg, S. Kachru, W. Taylor and M. Tegmark, Inflationary constraints on type IIA string theory, JHEP 12 (2007) 095 [arXiv:0711.2512] [SPIRES].
25. S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [SPIRES].
26. J.M. Lee and T.H. Parker, The Yamabe problem, Bull. Amer. Math. Soc. (N.S.) 17 (1987) 37.
27. J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [SPIRES].
28. G. Perelman, The entropy formula for the Ricci flow and its geometric applications, math/0211159.
29. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [SPIRES].
30. A. Saltman and E. Silverstein, A new handle on de Sitter compactifications, JHEP 01 (2006) 139 [hep-th/0411271] [SPIRES].
31. R. Schoen and S.-T. Yau, Positivity of the total mass of a general space-time, Phys. Rev. Lett. 43 (1979) 1457 [SPIRES].
32. E. Silverstein, Simple de Sitter solutions, Phys. Rev. D 77 (2008) 106006 [arXiv:0712.1196] [SPIRES].
33. L. Susskind, Supersymmetry breaking in the anthropic landscape, hep-th/0405189 [SPIRES].
34. T.R. Taylor and C. Vafa, RR flux on Calabi-Yau and partial supersymmetry breaking, Phys. Lett. B 474 (2000) 130 [hep-th/9912152] [SPIRES].
35. A.A. Tseytlin, On s-model RG flow, 'central charge' action and Perelman's entropy, Phys. Rev. D 75 (2007) 064024 [hep-th/0612296] [SPIRES].
36. H.L. Verlinde, Holography and compactification, Nucl. Phys. B 580 (2000) 264 [hep-th/9906182] [SPIRES].
37. R.M. Wald, General relativity, University of Chicago Press, Chicago U.S.A. (1984).
38. E. Witten, A simple proof of the positive energy theorem, Commun. Math. Phys. 80 (1981) 381 [SPIRES].