A global view on the search for de Sitter vacua in (Type IIA) string theory

Journal of High Energy Physics

Volumn 2012, Issue 4, 2012, Pages

  Chen, Xingang ^a   Shiu, Gary ^b,c   Sumitomo, Yoske ^c   Tye, S H Henry ^c,d  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b University of Wisconsin Madison   (United States)

^c HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^d Newman Laboratory for Elementary Particle Physics   (United States)

Author keywords

DS vacua in string theory; Flux compactifications

Indexed keywords

EID: 84860281371     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2012)026     Document Type: Article

References (46)

1. R. Bousso and J. Polchinski, Quantization of four form uxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134]
2. 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]
3. L. Susskind, The anthropic landscape of string theory, hep-th/0302219
4. A. Aazami and R. Easther, Cosmology from random multifield potentials, JCAP 03 (2006) 013 [hep-th/0512050]
5. R. Easther and L. McAllister, Random matrices and the spectrum of N-ation, JCAP 05 (2006) 018 [hep-th/0512102]
6. D.S. Dean and S.N. Majumdar, Large deviations of extreme eigenvalues of random matrices, Phys. Rev. Lett. 97 (2006) 160201 [cond-mat/0609651]
7. D.S. Dean and S.N. Majumdar, Extreme value statistics of eigenvalues of Gaussian random matrices, Phys. Rev. E 77 (2008) 041108 [arXiv:0801.1730]
8. C. Caviezel et al., On the cosmology of type IIA compactifications on SU(3)-structure manifolds, JHEP 04 (2009) 010 [arXiv:0812.3551]
9. F. Denef and M.R. Douglas, Distributions of nonsupersymmetric ux vacua, JHEP 03 (2005) 061 [hep-th/0411183]
10. C.A. Tracy and H. Widom, Level spacing distributions and the Airy kernel, Commun. Math. Phys. 159 (1994) 151 [hep-th/9211141] (Pubitemid 24759200)
11. G. Borot, B. Eynard, S. Majumdar and C. Nadal, Large deviations of the maximal eigenvalue of random matrices, J. Stat. Mech. (2011) P11024 [arXiv:1009.1945]
12. O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization, JHEP 07 (2005) 066 [hep-th/0505160]
13. E. Silverstein, Simple de Sitter solutions, Phys. Rev. D 77 (2008) 106006 [arXiv:0712.1196]
14. S.S. Haque, G. Shiu, B. Underwood and T. Van Riet, Minimal simple de Sitter solutions, Phys. Rev. D 79 (2009) 086005 [arXiv:0810.5328]
15. R. Flauger, S. Paban, D. Robbins and T. Wrase, Searching for slow-roll moduli ination in massive type IIA supergravity with metric uxes, Phys. Rev. D 79 (2009) 086011 [arXiv:0812.3886]
16. 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]
17. C. Caviezel, T. Wrase and M. Zagermann, Moduli stabilization and cosmology of type IIB on SU(2)-structure orientifolds, JHEP 04 (2010) 011 [arXiv:0912.3287]
18. B. de Carlos, A. Guarino and J.M. Moreno, Flux moduli stabilisation, supergravity algebras and no-go theorems, JHEP 01 (2010) 012 [arXiv:0907.5580]
19. B. de Carlos, A. Guarino and J.M. Moreno, Complete classification of Minkowski vacua in generalised ux models, JHEP 02 (2010) 076 [arXiv:0911.2876]
20. X. Dong, B. Horn, E. Silverstein and G. Torroba, Micromanaging de Sitter holography, Class. Quant. Grav. 27 (2010) 245020 [arXiv:1005.5403]
21. D. Andriot, E. Goi, R. Minasian and M. Petrini, Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory, JHEP 05 (2011) 028 [arXiv:1003.3774]
22. U.H. Danielsson, P. Koerber and T. Van Riet, Universal de Sitter solutions at tree-level, JHEP 05 (2010) 090 [arXiv:1003.3590]
23. U.H. Danielsson et al., De Sitter hunting in a classical landscape, Fortschr. Phys. 59 (2011) 897 [arXiv:1103.4858]
24. O. DeWolfe, S. Kachru and M. Mulligan, A gravity dual of metastable dynamical supersymmetry breaking, Phys. Rev. D 77 (2008) 065011 [arXiv:0801.1520]
25. P. McGuirk, G. Shiu and Y. Sumitomo, Non-supersymmetric infrared perturbations to the warped deformed conifold, Nucl. Phys. B 842 (2011) 383 [arXiv:0910.4581]
26. I. Bena, M. Graña and N. Halmagyi, On the existence of meta-stable vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [arXiv:0912.3519]
27. A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP 05 (2011) 053 [arXiv:1102.1734]
28. I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, On metastable vacua and the warped deformed conifold: analytic results, arXiv:1102.2403
29. I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, The backreaction of anti-D3 branes on the Klebanov-Strassler geometry, arXiv:1106.6165
30. J. Blaback et al., The problematic backreaction of SUSY-breaking branes, JHEP 08 (2011) 105 [arXiv:1105.4879]
31. J. Blaback et al., (Anti-)brane backreaction beyond perturbation theory, JHEP 02 (2012) 025 [arXiv:1111.2605]
32. P. Koerber and L. Martucci, From ten to four and back again: how to generalize the geometry, JHEP 08 (2007) 059 [arXiv:0707.1038]
33. B. Heidenreich, L. McAllister and G. Torroba, Dynamic SU(2) structure from seven-branes, JHEP 05 (2011) 110 [arXiv:1011.3510]
34. A. Dymarsky and L. Martucci, D-brane non-perturbative effects and geometric deformations, JHEP 04 (2011) 061 [arXiv:1012.4018]
35. G.W. Gibbons, Aspects of supergravity theories, three lectures given at GIFT Seminar on Theoretical Physics, San Feliu de Guixols Spain, 4{11 Jun 1984
36. J.M. Maldacena and C. Nuñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018]
37. M.P. Hertzberg, S. Kachru, W. Taylor and M. Tegmark, Inationary constraints on type IIA string theory, JHEP 12 (2007) 095 [arXiv:0711.2512]
38. T. Wrase and M. Zagermann, On classical de Sitter vacua in string theory, Fortschr. Phys. 58 (2010) 906 [arXiv:1003.0029]
39. T.W. Grimm and J. Louis, The effective action of type IIA Calabi-Yau orientifolds, Nucl. Phys. B 718 (2005) 153 [hep-th/0412277]
40. I. Benmachiche and T.W. Grimm, Generalized N = 1 orientifold compactifications and the Hitchin functionals, Nucl. Phys. B 748 (2006) 200 [hep-th/0602241]
41. G. Shiu and Y. Sumitomo, Stability constraints on classical de Sitter vacua, JHEP 09 (2011) 052 [arXiv:1107.2925]
42. A.-K. Kashani-Poor and R. Minasian, Towards reduction of type-II theories on SU(3) structure manifolds, JHEP 03 (2007) 109 [hep-th/0611106]
43. A.-K. Kashani-Poor, Nearly K̈ahler reduction, JHEP 11 (2007) 026 [arXiv:0709.4482]
44. D. Cassani and A.-K. Kashani-Poor, Exploiting N = 2 in consistent coset reductions of type IIA, Nucl. Phys. B 817 (2009) 25 [arXiv:0901.4251]
45. T. Van Riet, On classical de Sitter solutions in higher dimensions, Class. Quant. Grav. 29 (2012) 055001 [arXiv:1111.3154]
46. D. Marsh, L. McAllister and T. Wrase, The wasteland of random supergravities, arXiv:1112.3034