Effective actions and N ≤ 1 vacuum conditions from SU (3) × SU(3) compactifications

Journal of High Energy Physics

Volumn 2007, Issue 9, 2007, Pages

  Cassani, Davide ^a,b   Bilal, Adel ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Flux compactifications; Superstring vacua

Indexed keywords

EID: 34948900788     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/09/076     Document Type: Article

References (66)

1. M. Grãa, Flux compactifications in string theory: a comprehensive review 2006 Phys. Rep. 423 91 [hep-th/0509003]
2. M.R. Douglas and S. Kachru, Flux compactification 2007 Rev. Mod. Phys. 79 733 [hep-th/0610102]
3. R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional string compactifications with D-branes, orientifolds and fluxes 2007 Phys. Rep. 445 1 [hep-th/0610327]
4. S. Gurrieri, J. Louis, A. Micu and D. Waldram, Mirror symmetry in generalized Calabi-Yau compactifications 2003 Nucl. Phys. B 654 61 [hep-th/0211102]
5. S. Gurrieri and A. Micu, Type IIB theory on half-flat manifolds 2003 Class. Quantum Grav. 20 2181 [hep-th/0212278]
6. M. Grãa, J. Louis and D. Waldram, Hitchin functionals in N ≤ 2 supergravity 2006 J. High Energy Phys. JHEP01(2006)008 [hep-th/0505264]
7. A. Tomasiello, Topological mirror symmetry with fluxes 2005 J. High Energy Phys. JHEP06(2005)067 [hep-th/0502148]
8. T. House and E. Palti, Effective action of (massive) IIA on manifolds with SU(3) structure, 2005 Phys. Rev. D 72 026004 [hep-th/0505177]
9. A.-K. Kashani-Poor and R. Minasian, Towards reduction of type-II theories on SU(3) structure manifolds, 2007 J. High Energy Phys. JHEP03(2007)109 [hep-th/0611106]
10. J. Louis and A. Micu, Type II theories compactified on Calabi-Yau threefolds in the presence of background fluxes 2002 Nucl. Phys. B 635 395 [hep-th/0202168]
11. G. Dall'Agata, String compactifications with fluxes 2004 Class. Quantum Grav. 21 S1479
12. R. D'Auria, S. Ferrara, M. Trigiante and S. Vaula, Gauging the Heisenberg algebra of special quaternionic manifolds 2005 Phys. Lett. B 610 147 [hep-th/0410290]
13. R. D'Auria, S. Ferrara, M. Trigiante and S. Vaula, Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory 2005 Phys. Lett. B 610 270 [hep-th/0412063]
14. R. D'Auria, S. Ferrara and M. Trigiante, On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds 2007 Nucl. Phys. B 780 28 [hep-th/0701247]
15. N. Hitchin, Generalized Calabi-Yau manifolds 2003 Quart. J. Math. Oxford Ser. 54 281
16. M. Gualtieri, Generalized complex geometry Oxford University DPhil Thesis (2004), [math.DG/0401221]
17. M. Grãa, J. Louis and D. Waldram, SU(3) × SU(3) compactification and mirror duals of magnetic fluxes, 2007 J. High Energy Phys. JHEP04(2007)101 [hep-th/0612237]
18. I. Benmachiche and T.W. Grimm, Generalized N ≤ 1 orientifold compactifications and the Hitchin functionals 2006 Nucl. Phys. B 748 200 [hep-th/0602241]
19. C.M. Hull, A geometry for non-geometric string backgrounds 2005 J. High Energy Phys. JHEP10(2005)065 [hep-th/0406102]
20. J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications 2005 J. High Energy Phys. JHEP10(2005)085 [hep-th/0508133]
21. J. Shelton, W. Taylor and B. Wecht, Generalized flux vacua 2007 J. High Energy Phys. JHEP02(2007)095 [hep-th/0607015]
22. P. Grange and S. Schafer-Nameki, T-duality with H-flux: non-commutativity, T-folds and G × G structure 2007 Nucl. Phys. B 770 123 [hep-th/0609084]
23. I.T. Ellwood, NS-NS fluxes in Hitchin's generalized geometry [hep-th/0612100]
24. A. Micu, E. Palti and G. Tasinato, Towards Minkowski vacua in type-II string compactifications 2007 J. High Energy Phys. JHEP03(2007)104 [hep-th/0701173]
25. N.J. Hitchin, The geometry of three-forms in six and seven dimensions [math.DG/0010054]
26. N.J. Hitchin, Stable forms and special metrics in Global differential geometry: the mathematical legacy of Alfred Gray M. Fernandez and J. A. Wolf eds., Contemp. Math. 288 (2001)
27. M. Grãa, R. Minasian, M. Petrini and A. Tomasiello, Supersymmetric backgrounds from generalized Calabi-Yau manifolds 2004 J. High Energy Phys. JHEP08(2004)046 [hep-th/0406137]
28. M. Grãa, R. Minasian, M. Petrini and A. Tomasiello, Generalized structures of N ≤ 1 vacua 2005 J. High Energy Phys. JHEP11(2005)020 [hep-th/0505212]
29. M. Grãa, R. Minasian, M. Petrini and A. Tomasiello, A scan for new N ≤ 1 vacua on twisted tori 2007 J. High Energy Phys. JHEP05(2007)031 [hep-th/0609124]
30. 2-structures and type-IIB superstrings 2005 J. High Energy Phys. JHEP03(2005)053 [hep-th/0412280]
31. F. Witt, Special metric structures and closed forms Oxford University DPhil Thesis (2004)
32. A. Tomasiello, Reformulating supersymmetry with a generalized Dolbeault operator [0704.2613]
33. M. Gualtieri, Generalized geometry and the Hodge decomposition [math.DG/0409093]
34. P. Candelas and X. de la Ossa, Moduli space of Calabi-Yau manifolds 1991 Nucl. Phys. B 355 455
35. H. Suzuki, Calabi-Yau compactification of type-IIB string and a mass formula of the extreme black holes 1996 Mod. Phys. Lett. A 11 623 [hep-th/9508001]
36. A. Ceresole, R. D'Auria and S. Ferrara, The symplectic structure of N ≤ 2 supergravity and its central extension 1996 Nucl. Phys. (Proc. Suppl.) 46 67 [hep-th/9509160]
37. 2 structures in Differential geometry Valencia, (2001) [math.DG/0202282]
38. G. Dall'Agata, R. D'Auria, L. Sommovigo and S. Vaula, D ≤ 4, N ≤ 2 gauged supergravity in the presence of tensor multiplets 2004 Nucl. Phys. B 682 243 [hep-th/0312210]
39. R. D'Auria, L. Sommovigo and S. Vaula, N ≤ 2 supergravity lagrangian coupled to tensor multiplets with electric and magnetic fluxes 2004 J. High Energy Phys. JHEP11(2004)028 [hep-th/0409097]
40. L. Andrianopoli et al., N ≤ 2 supergravity and N ≤ 2 super Yang-Mills theory on general scalar manifolds: symplectic covariance, gaugings and the momentum map 1997 J. Geom. Phys. 23 111 [hep-th/9605032]
41. , General matter coupled N ≤ 2 supergravity 1996 Nucl. Phys. B 476 397 [hep-th/9603004]
42. S. Ferrara and S. Sabharwal, Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces 1990 Nucl. Phys. B 332 317
43. J. Polchinski and A. Strominger, New vacua for type-II string theory 1996 Phys. Lett. B 388 736 [hep-th/9510227]
44. J. Michelson, Compactifications of type-IIB strings to four dimensions with non-trivial classical potential 1997 Nucl. Phys. B 495 127 [hep-th/9610151]
45. R. D'Auria, S. Ferrara and P. Fre, Special and quaternionic isometries: general couplings in N ≤ 2 supergravity and the scalar potential 1991 Nucl. Phys. B 359 705
46. B. de Wit, H. Samtleben and M. Trigiante, Magnetic charges in local field theory 2005 J. High Energy Phys. JHEP09(2005)016 [hep-th/0507289]
47. S. Cecotti, L. Girardello and M. Porrati, Two into one won't go 1984 Phys. Lett. B 145 61
48. S. Ferrara, L. Girardello and M. Porrati, Minimal Higgs branch for the breaking of half of the supersymmetries in N ≤ 2 supergravity 1996 Phys. Lett. B 366 155 [hep-th/9510074]
49. T.R. Taylor and C. Vafa, RR flux on Calabi-Yau and partial supersymmetry breaking 2000 Phys. Lett. B 474 130 [hep-th/9912152]
50. J. Louis, Aspects of spontaneous N ≤ 2 N ≤ 1 breaking in supergravity [hep-th/0203138]
51. P. Koerber and D. Tsimpis, Supersymmetric sources, integrability and generalized-structure compactifications [0706.1244]
52. O. DeWolfe and S.B. Giddings, Scales and hierarchies in warped compactifications and brane worlds 2003 Phys. Rev. D 67 066008 [hep-th/0208123]
53. S.B. Giddings and A. Maharana, Dynamics of warped compactifications and the shape of the warped landscape 2006 Phys. Rev. D 73 126003 [hep-th/0507158]
54. S.P. de Alwis, On potentials from fluxes 2003 Phys. Rev. D 68 126001 [hep-th/0307084]
55. S.P. de Alwis, Brane worlds in 5D and warped compactifications in IIB 2004 Phys. Lett. B 603 230 [hep-th/0407126]
56. L. Martucci and P. Smyth, Supersymmetric D-branes and calibrations on general N ≤ 1 backgrounds 2005 J. High Energy Phys. JHEP11(2005)048 [hep-th/0507099]
57. 4 compactifications of IIA supergravity 2005 J. High Energy Phys. JHEP02(2005)027 [hep-th/0412250]
58. L. Andrianopoli, R. D'Auria and S. Ferrara, Supersymmetry reduction of N-extended supergravities in four dimensions 2002 J. High Energy Phys. JHEP03(2002)025 [hep-th/0110277]
59. L. Andrianopoli, R. D'Auria and S. Ferrara, Consistent reduction of N ≤ 2 N ≤ 1 four dimensional supergravity coupled to matter 2002 Nucl. Phys. B 628 387 [hep-th/0112192]
60. R. D'Auria, S. Ferrara, M. Trigiante and S. Vaula, N ≤ 1 reductions of N ≤ 2 supergravity in the presence of tensor multiplets 2005 J. High Energy Phys. JHEP03(2005)052 [hep-th/0502219]
61. T.W. Grimm and J. Louis, The effective action of type-IIA Calabi-Yau orientifolds 2005 Nucl. Phys. B 718 153 [hep-th/0412277]
62. T.W. Grimm, The effective action of type-II Calabi-Yau orientifolds 2005 Fortschr. Phys. 53 1179 [hep-th/0507153]
63. G. Villadoro and F. Zwirner, N ≤ 1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes 2005 J. High Energy Phys. JHEP06(2005)047 [hep-th/0503169]
64. B. Craps, F. Roose, W. Troost and A. Van Proeyen, What is special Kähler geometry? 1997 Nucl. Phys. B 503 565 [hep-th/9703082]
65. D.S. Freed, Special Kähler manifolds 1999 Comm. Math. Phys. 203 31 [hep-th/9712042]
66. P. Koerber and L. Martucci, From ten to four and back again: how to generalize the geometry [0707.1038]