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De Sitter hunting in a classical landscape. (English) Zbl 1235.81107

Summary: We elaborate on the construction of de Sitter solutions from IIA orientifolds of \(SU(3)\)-structure manifolds that solve the 10-dimensional equations of motion at tree-level in the approximation of smeared sources. First we classify geometries that are orbifolds of a group manifold covering space which, upon the proper inclusion of O6 planes, can be described within the framework of \(\mathcal N=1\) supergravity in 4D. Then we scan systematically for de Sitter solutions, obtained as critical points of an effective 4D potential. Apart from finding many new solutions we emphasize the challenges in constructing explicit classical de Sitter vacua, which have sofar not been met. These challenges are interesting avenues for further research and include finding solutions that are perturbatively stable, satisfy charge and flux quantization, and have genuine localized (versus smeared) orientifold sources. This paper intends to be self-contained and pedagogical, and thus can serve as a guide to the necessary technical tools required for this line of research. In an appendix we explain how to study flux and charge quantization in the presence of a non-trivial H-field using twisted homology.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E50 Supergravity

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[1] Kachru, Phys. Rev. D 68 pp 046005– (2003) · Zbl 1244.83036 · doi:10.1103/PhysRevD.68.046005
[2] Balasubramanian, J. High Energy Phys. 11 pp 085– (2004) · doi:10.1088/1126-6708/2004/11/085
[3] Balasubramanian, J. High Energy Phys. 03 pp 007– (2005) · doi:10.1088/1126-6708/2005/03/007
[4] Hertzberg, J. High Energy Phys. 12 pp 095– (2007) · Zbl 1246.81259 · doi:10.1088/1126-6708/2007/12/095
[5] Silverstein, Phys. Rev. D 77 pp 106006– (2008) · doi:10.1103/PhysRevD.77.106006
[6] Caviezel, Class. Quantum Gravity 26 pp 025014– (2009) · Zbl 1158.83320 · doi:10.1088/0264-9381/26/2/025014
[7] Haque, Phys. Rev. D 79 pp 086005– (2009) · doi:10.1103/PhysRevD.79.086005
[8] Caviezel, J. High Energy Phys. 04 pp 010– (2009) · doi:10.1088/1126-6708/2009/04/010
[9] Flauger, Phys. Rev. D 79 pp 086011– (2009) · doi:10.1103/PhysRevD.79.086011
[10] Danielsson, J. High Energy Phys. 09 pp 114– (2009) · doi:10.1088/1126-6708/2009/09/114
[11] Caviezel, J. High Energy Phys. 04 pp 011– (2010) · Zbl 1272.81144 · doi:10.1007/JHEP04(2010)011
[12] Wrase, Fortschr. Phys. 58 pp 906– (2010) · doi:10.1002/prop.201000053
[13] Saltman, J. High Energy Phys. 01 pp 139– (2006) · doi:10.1088/1126-6708/2006/01/139
[14] de Carlos, J. High Energy Phys. 01 pp 012– (2010) · Zbl 1269.81155 · doi:10.1007/JHEP01(2010)012
[15] de Carlos, J. High Energy Phys. 02 pp 076– (2010) · Zbl 1270.81161 · doi:10.1007/JHEP02(2010)076
[16] Dong, Class. Quantum Gravity 27 pp 245020– (2010) · Zbl 1206.83140 · doi:10.1088/0264-9381/27/24/245020
[17] D. Andriot E. Goi R. Minasian M. Petrini
[18] Dibitetto, Phys. Lett. B 688 pp 96– (2010) · doi:10.1016/j.physletb.2010.03.074
[19] Danielsson, J. High Energy Phys. 05 pp 090– (2010) · Zbl 1287.81091 · doi:10.1007/JHEP05(2010)090
[20] G.W. Gibbons C.M. Hull
[21] Kallosh, Phys. Rev. D 67 pp 023510– (2003) · doi:10.1103/PhysRevD.67.023510
[22] Kallosh, Phys. Rev. D 65 pp 105016– (2002) · doi:10.1103/PhysRevD.65.105016
[23] Roest, Phys. Lett. B 685 pp 201– (2010) · doi:10.1016/j.physletb.2010.01.064
[24] I.P. Neupane
[25] Duff, Phys. Rep. 130 pp 1– (1986) · doi:10.1016/0370-1573(86)90163-8
[26] Kapetanakis, Phys. Rep. 219 pp 1– (1992) · doi:10.1016/0370-1573(92)90101-5
[27] Lüst, Nucl. Phys. B 276 pp 220– (1986) · doi:10.1016/0550-3213(86)90021-0
[28] Castellani, Nucl. Phys. B 296 pp 143– (1988) · doi:10.1016/0550-3213(88)90384-7
[29] Govindarajan, Phys. Rev. Lett. 57 pp 2489– (1986) · doi:10.1103/PhysRevLett.57.2489
[30] Cassani, Nucl. Phys. B 817 pp 25– (2009) · Zbl 1194.83095 · doi:10.1016/j.nuclphysb.2009.03.011
[31] Acharya, J. High Energy Phys. 02 pp 018– (2007) · doi:10.1088/1126-6708/2007/02/018
[32] Koerber, J. High Energy Phys. 08 pp 082– (2007) · Zbl 1326.81207 · doi:10.1088/1126-6708/2007/08/082
[33] Blåbäck, J. High Energy Phys. 12 pp 043– (2010) · Zbl 1294.81165 · doi:10.1007/JHEP12(2010)043
[34] J. Blåbäck
[35] Douglas, J. High Energy Phys. 06 pp 004– (2010) · Zbl 1290.81113 · doi:10.1007/JHEP06(2010)004
[36] Collinucci, J. High Energy Phys. 03 pp 058– (2007) · doi:10.1088/1126-6708/2007/03/058
[37] DeWolfe, J. High Energy Phys. 07 pp 066– (2005)
[38] Kashani-Poor, J. High Energy Phys. 03 pp 109– (2007) · doi:10.1088/1126-6708/2007/03/109
[39] Kashani-Poor, J. High Energy Phys. 11 pp 026– (2007) · Zbl 1245.83081 · doi:10.1088/1126-6708/2007/11/026
[40] Ihl, J. High Energy Phys. 08 pp 043– (2007) · Zbl 1326.81157 · doi:10.1088/1126-6708/2007/08/043
[41] Robbins, J. High Energy Phys. 12 pp 058– (2007) · Zbl 1246.81296 · doi:10.1088/1126-6708/2007/12/058
[42] Derendinger, Nucl. Phys. B 715 pp 211– (2005) · Zbl 1207.81113 · doi:10.1016/j.nuclphysb.2005.02.038
[43] Grimm, Nucl. Phys. B 718 pp 153– (2005) · Zbl 1207.81121 · doi:10.1016/j.nuclphysb.2005.04.007
[44] Villadoro, J. High Energy Phys. 06 pp 047– (2005) · doi:10.1088/1126-6708/2005/06/047
[45] House, Phys. Rev. D 72 pp 026004– (2005) · doi:10.1103/PhysRevD.72.026004
[46] Cámara, J. High Energy Phys. 09 pp 013– (2005) · doi:10.1088/1126-6708/2005/09/013
[47] Benmachiche, Nucl. Phys. B 748 pp 200– (2006) · Zbl 1186.81101 · doi:10.1016/j.nuclphysb.2006.05.003
[48] Ihl, J. High Energy Phys. 07 pp 027– (2006) · doi:10.1088/1126-6708/2006/07/027
[49] Villadoro, J. High Energy Phys. 11 pp 082– (2007) · Zbl 1245.81229 · doi:10.1088/1126-6708/2007/11/082
[50] Micu, J. High Energy Phys. 03 pp 104– (2007) · doi:10.1088/1126-6708/2007/03/104
[51] Hertzberg, Phys. Rev. D 76 pp 103521– (2007) · doi:10.1103/PhysRevD.76.103521
[52] Lüst, J. High Energy Phys. 02 pp 027– (2005) · doi:10.1088/1126-6708/2005/02/027
[53] Koerber, Phys. Rev. D 81 pp 105006– (2010) · doi:10.1103/PhysRevD.81.105006
[54] Bedulli, J. Geom. Phys. 4 pp 1125– (2007) · Zbl 1126.53017 · doi:10.1016/j.geomphys.2006.09.007
[55] Koerber, J. High Energy Phys. 07 pp 017– (2008) · doi:10.1088/1126-6708/2008/07/017
[56] Graña, J. High Energy Phys. 05 pp 031– (2007) · doi:10.1088/1126-6708/2007/05/031
[57] Müller-Hoissen, Class. Quantum Gravity 5 pp 27– (1988) · Zbl 0637.53100 · doi:10.1088/0264-9381/5/1/011
[58] Turkowski, J. Math. Phys. 29 pp 2139– (1988) · Zbl 0664.17004 · doi:10.1063/1.528140
[59] Turkowski, J. Math. Phys. 31 pp 1344– (1990) · Zbl 0722.17012 · doi:10.1063/1.528721
[60] Roest, Fortschr. Phys. 53 pp 119– (2005) · Zbl 1072.81049 · doi:10.1002/prop.200410192
[61] de Roo, J. High Energy Phys. 0302 pp 003– (2003) · doi:10.1088/1126-6708/2003/02/003
[62] de Roo, J. High Energy Phys. 0311 pp 022– (2003) · doi:10.1088/1126-6708/2003/11/022
[63] Dall’Agata, J. High Energy Phys. 08 pp 018– (2009) · doi:10.1088/1126-6708/2009/08/018
[64] Dibitetto, J. High Energy Phys. 1103 pp 137– (2011) · Zbl 1301.81203 · doi:10.1007/JHEP03(2011)137
[65] Fré, Class. Quantum Gravity 19 pp 4167– (2002) · Zbl 1034.83024 · doi:10.1088/0264-9381/19/15/319
[66] H.F. Blichfeldt
[67] Hanany, J. High Energy Phys. 02 pp 013– (1999) · Zbl 0965.81106 · doi:10.1088/1126-6708/1999/02/013
[68] P.O. Ludl
[69] S. Reffert
[70] S. Reffert
[71] Gray, Comput. Phys. Commun. 180 pp 107– (2009) · Zbl 1198.81156 · doi:10.1016/j.cpc.2008.08.009
[72] Maldacena, Int. J. Mod. Phys. A 16 pp 822– (2001) · Zbl 0984.83052 · doi:10.1142/S0217751X01003937
[73] Covi, J. High Energy Phys. 06 pp 057– (2008) · doi:10.1088/1126-6708/2008/06/057
[74] Gómez-Reino, J. High Energy Phys. 0902 pp 003– (2009) · Zbl 1245.83075 · doi:10.1088/1126-6708/2009/02/003
[75] A. Borghese D. Roest
[76] Larfors, J. High Energy Phys. 07 pp 073– (2010) · Zbl 1290.81126 · doi:10.1007/JHEP07(2010)073
[77] Chiossi, Ann. Mat. Pura e Appl. 282 pp 35– (1980)
[78] Ali, J. High Energy Phys. 05 pp 009– (2007) · doi:10.1088/1126-6708/2007/05/009
[79] Koerber, J. High Energy Phys. 12 pp 062– (2006) · Zbl 1226.81204 · doi:10.1088/1126-6708/2006/12/062
[80] Koerber, Fortsch. Phys. 59 pp 169– (2011) · Zbl 1210.81084 · doi:10.1002/prop.201000083
[81] Moore, J. High Energy Phys. 05 pp 032– (2000) · Zbl 0990.81626 · doi:10.1088/1126-6708/2000/05/032
[82] Minasian, J. High Energy Phys. 11 pp 002– (1997) · doi:10.1088/1126-6708/1997/11/002
[83] J. Evslin
[84] Evslin, J. High Energy Phys. 07 pp 040– (2007) · doi:10.1088/1126-6708/2007/07/040
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