Reducing democratic type II supergravity on SU(3) × SU(3) structures

Journal of High Energy Physics

Volumn 2008, Issue 6, 2008, Pages

  Cassani, Davide ^a,b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Flux compactifications; Supergravity models

Indexed keywords

EID: 47249129896     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/06/027     Document Type: Article

References (67)

1. M. Bodner, A.C. Cadavid and S. Ferrara, (2,2) vacuum configurations for type IIA superstrings: N = 2 supergravity Lagrangians and algebraic geometry 1991 Class. Quantum Grav. 8 789
2. M. Bodner and A.C. Cadavid, Dimensional reduction of type IIB supergravity and exceptional quaternionic manifolds 1990 Class. Quantum Grav. 7 829
3. R. Bohm, H. Gunther, C. Herrmann and J. Louis, Compactification of type IIB string theory on Calabi-Yau threefolds 2000 Nucl. Phys. B 569 229 [hep-th/9908007]
4. 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]
5. M. Grãa, Flux compactifications in string theory: a comprehensive review 2006 Phys. Rep. 423 91 [hep-th/0509003]
6. M.R. Douglas and S. Kachru, Flux compactification 2007 Rev. Mod. Phys. 79 733 [hep-th/0610102]
7. 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]
8. J. Polchinski and A. Strominger, New vacua for type II string theory 1996 Phys. Lett. B 388 736 [hep-th/9510227]
9. J. Michelson, Compactifications of type IIB strings to four dimensions with non-trivial classical potential 1997 Nucl. Phys. B 495 127 [hep-th/9610151]
10. G. Dall'Agata, Type IIB supergravity compactified on a Calabi-Yau manifold with H-fluxes 2001 J. High Energy Phys. JHEP11(2001)005 [hep-th/0107264]
11. 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]
12. S. Kachru and A.-K. Kashani-Poor, Moduli potentials in type IIA compactifications with RR and NS flux 2005 J. High Energy Phys. JHEP03(2005)066 [hep-th/0411279]
13. T.R. Taylor and C. Vafa, RR flux on Calabi-Yau and partial supersymmetry breaking 2000 Phys. Lett. B 474 130 [hep-th/9912152]
14. 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]
15. S. Gurrieri and A. Micu, Type IIB theory on half-flat manifolds 2003 Class. Quantum Grav. 20 2181 [hep-th/0212278]
16. 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]
17. 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]
18. A. Tomasiello, Topological mirror symmetry with fluxes 2005 J. High Energy Phys. JHEP06(2005)067 [hep-th/0502148]
19. M. Grãa, J. Louis and D. Waldram, Hitchin functionals in N = 2 supergravity 2006 J. High Energy Phys. JHEP01(2006)008 [hep-th/0505264]
20. W.-y. Chuang, S. Kachru and A. Tomasiello, Complex/symplectic mirrors 2007 Comm. Math. Phys. 274 775 [hep-th/0510042]
21. 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]
22. 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]
23. A.-K. Kashani-Poor, Nearly Kähler reduction 2007 J. High Energy Phys. JHEP11(2007)026 [0709.4482]
24. N. Hitchin, Generalized Calabi-Yau manifolds 2003 Quart. J. Math. Oxford Ser. 54 281 [math/0209099]
25. M. Gualtieri, Generalized complex geometry [math.DG/0401221]
26. 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]
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. 2-structures and type IIB superstrings 2005 J. High Energy Phys. JHEP03(2005)053 [hep-th/0412280]
30. C. Jeschek and F. Witt, Generalised geometries, constrained critical points and Ramond-Ramond fields [math.DG/0510131]
31. P. Koerber, Stable D-branes, calibrations and generalized Calabi-Yau geometry 2005 J. High Energy Phys. JHEP08(2005)099 [hep-th/0506154]
32. 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]
33. L. Martucci, D-branes on general N = 1 backgrounds: superpotentials and D-terms 2006 J. High Energy Phys. JHEP06(2006)033 [hep-th/0602129]
34. P. Koerber and L. Martucci, D-branes on AdS flux compactifications 2008 J. High Energy Phys. JHEP01(2008)047 [0710.5530]
35. 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]
36. 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]
37. A. Tomasiello, Reformulating supersymmetry with a generalized Dolbeault operator 2008 J. High Energy Phys. JHEP02(2008)010 [0704.2613]
38. P. Koerber and D. Tsimpis, Supersymmetric sources, integrability and generalized- structure compactifications 2007 J. High Energy Phys. JHEP08(2007)082 [0706.1244]
39. D. Cassani and A. Bilal, Effective actions and N = 1 vacuum conditions from SU(3) × SU(3) compactifications, 2007 J. High Energy Phys. JHEP09(2007)076 [0707.3125]
40. U. Theis and S. Vandoren, N = 2 supersymmetric scalar-tensor couplings 2003 J. High Energy Phys. JHEP04(2003)042 [hep-th/0303048]
41. 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]
42. 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]
43. 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]
44. P. Koerber and L. Martucci, From ten to four and back again: how to generalize the geometry 2007 J. High Energy Phys. JHEP08(2007)059 [0707.1038]
45. 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]
46. A. Lawrence, T. Sander, M.B. Schulz and B. Wecht, Torsion and supersymmetry breaking [0711.4787]
47. E. Bergshoeff, R. Kallosh, T. Ortín, D. Roest and A. Van Proeyen, New formulations of D = 10 supersymmetry and D8-O8 domain walls 2001 Class. Quantum Grav. 18 3359 [hep-th/0103233]
48. D.M. Belov and G.W. Moore, Type II actions from 11-dimensional Chern-Simons theories [hep-th/0611020]
49. 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]
50. N. Halmagyi and A. Tomasiello, Generalized Kähler potentials from supergravity [0708.1032]
51. Y. Li, On deformations of generalized complex structures: the generalized Calabi-Yau case [hep-th/0508030]
52. N.J. Hitchin, The geometry of three-forms in six and seven dimensions [math.DG/0010054]
53. P. Candelas and X. de la Ossa, Moduli space of Calabi-Yau manifolds 1991 Nucl. Phys. B 355 455
54. A. Strominger, Yukawa couplings in superstring compactification 1985 Phys. Rev. Lett. 55 2547
55. 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]
56. 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]
57. J. Shelton, W. Taylor and B. Wecht, Generalized flux vacua 2007 J. High Energy Phys. JHEP02(2007)095 [hep-th/0607015]
58. L. Bedulli and L. Vezzoni, The Ricci tensor of SU(3)-manifolds, 2007 J. Geom. Phys. 57 1125 [math.DG/0606786]
59. S. Fidanza, R. Minasian and A. Tomasiello, Mirror symmetric SU(3)-structure manifolds with NS fluxes, 2005 Comm. Math. Phys. 254 401 [hep-th/0311122]
60. B. de Wit, H. Nicolai and H. Samtleben, Gauged supergravities, tensor hierarchies and M-theory 2008 J. High Energy Phys. JHEP02(2008)044 [0801.1294]
61. S. Ferrara and S. Sabharwal, Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces 1990 Nucl. Phys. B 332 317
62. I. Benmachiche and T.W. Grimm, Generalized N = 1 orientifold compactifications and the Hitchin functionals 2006 Nucl. Phys. B 748 200 [hep-th/0602241]
63. M. Gualtieri, Generalized geometry and the Hodge decomposition [math.DG/0409093]
64. S.P. de Alwis, Transitions between flux vacua 2006 Phys. Rev. D 74 126010 [hep-th/0605184]
65. O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization 2005 J. High Energy Phys. JHEP07(2005)066 [hep-th/0505160]
66. J. Polchinski, String theory. Vol. 2: superstring theory and beyond (Cambridge University Press, Cambridge) U.K. (1998)
67. B.S. Acharya, F. Benini and R. Valandro, Fixing moduli in exact type IIA flux vacua 2007 J. High Energy Phys. JHEP02(2007)018 [hep-th/0607223]