M-theory on seven-dimensional manifolds with SU(3) structure

Journal of High Energy Physics

Volumn 2006, Issue 5, 2006, Pages

  Micu, Andrei ^a   Palti, Eran ^b   Saffin, Paul M ^b,c  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF SUSSEX   (United Kingdom)

^c UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Flux compactifications; M Theory; Superstring Vacua

Indexed keywords

EID: 84891636613     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/05/048     Document Type: Article

References (59)

1. I.C.G. Campbell and P.C. West, N = 2 D = 10 nonchiral supergravity and its spontaneous compactification, Nucl. Phys. B 243 (1984) 112.
2. M. Huq and M.A. Namazie, Kaluza-Klein supergravity in ten-dimensions, Class. and Quant. Grav. 2 (1985) 293.
3. F. Giani and M. Pernici, N = 2 supergravity in ten-dimensions, Phys. Rev. D 30 (1984) 325.
4. A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, The universe as a domain wall, Phys. Rev. D 59 (1999) 086001 [hep-th/9803235].
5. G. Papadopoulos and P.K. Townsend, Compactification of D = 11 supergravity on spaces of exceptional holonomy, Phys. Lett. B 357 (1995) 300 [hep-th/9506150].
6. M. Graña, Flux compactifications in string theory: a comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003].
7. B.S. Acharya, A moduli fixing mechanism in M-theory, hep-th/0212294.
8. B. de Carlos, A. Lukas and S. Morris, Non-perturbative vacua for M-theory on G2 manifolds, JHEP 12 (2004) 018 [hep-th/0409255].
9. N. Lambert, Flux and Freund-Rubin superpotentials in M-theory, Phys. Rev. D 71 (2005) 126001 [hep-th/0502200].
10. J.P. Gauntlett, D. Martelli, S. Pakis and D. Waldram, G-structures and wrapped NS5-branes, Commun. Math. Phys. 247 (2004) 421 [hep-th/0205050].
11. J.P. Gauntlett, D. Martelli and D. Waldram, Superstrings with intrinsic torsion, Phys. Rev. D 69 (2004) 086002 [hep-th/0302158].
12. T. House and A. Micu, M-theory compactifications on manifolds with G2 structure, Class. and Quant. Grav. 22 (2005) 1709 [hep-th/0412006].
13. G. Dall'Agata and N. Prezas, Scherk-schwarz reduction of M-theory on G2-manifolds with fluxes, JHEP 10 (2005) 103 [hep-th/0509052].
14. R. D'Auria, S. Ferrara and M. Trigiante, Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes, JHEP 01 (2006) 081 [hep-th/0511158].
15. P. Kaste, R. Minasian and A. Tomasiello, Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures, JHEP 07 (2003) 004 [hep-th/0303127].
16. G. Dall'Agata and N. Prezas, N = 1 geometries for M-theory and type-IIA strings with fluxes, Phys. Rev. D 69 (2004) 066004 [hep-th/0311146].
17. K. Behrndt and C. Jeschek, Superpotentials from flux compactifications of M-theory, Class. and Quant. Grav. 21 (2004) S1533 [hep-th/0401019].
18. A. Lukas and P.M. Saffin, M-theory compactification, fluxes and AdS4, Phys. Rev. D 71 (2005) 046005 [hep-th/0403235].
19. K. Behrndt and C. Jeschek, Fluxes in M-theory on 7-manifolds: G2, SU(3) and SU(2) structures, hep-th/0406138.
20. J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS backgrounds in string and M-theory, hep-th/0411194.
21. A. Franzen, P. Kaura, A. Misra and R. Ray, Uplifting the Iwasawa, Fortschr. Phys. 54 (2006) 207 [hep-th/0506224].
22. K. Behrndt, M. Cveti?c and T. Liu, Classification of supersymmetric flux vacua in M-theory, hep-th/0512032.
23. T. House and E. Palti, Effective action of (massive) IIA on manifolds with SU(3) structure, Phys. Rev. D 72 (2005) 026004 [hep-th/0505177].
24. K. Behrndt and M. Cveti?c, General N = 1 supersymmetric flux vacua of (massive) type-IIA string theory, Phys. Rev. Lett. 95 (2005) 021601 [hep-th/0403049].
25. K. Behrndt and M. Cveti?c, General N = 1 supersymmetric fluxes in massive type-IIA string theory, Nucl. Phys. B 708 (2005) 45 [hep-th/0407263].
26. D. Lüst and D. Tsimpis, Supersymmetric AdS4 compactifications of IIA supergravity, JHEP 02 (2005) 027 [hep-th/0412250].
27. R. D'Auria, S. Ferrara and M. Trigiante, Spontaneously broken supergravity: old and new facts, hep-th/0512248.
28. D. Joyce, Compactification of D = 11 supergravity on spaces of exceptional holonomy, Compact manifolds with special holonomy, OUP, 2003.
29. P.G.O. Freund and M.A. Rubin, Dynamics of dimensional reduction, Phys. Lett. B 97 (1980) 233.
30. K. Behrndt and C. Jeschek, Fluxes in M-theory on 7-manifolds: G-structures and superpotential, Nucl. Phys. B 694 (2004) 99 [hep-th/0311119].
31. G. Dall'Agata and S. Ferrara, Updates in local supersymmmetry and its spontaneous breaking, hep-th/0601138.
32. T. Friedrich, I. Kath, A. Moroianu and U. Semmelmann, On nearly parallel G2 structures, SFB-288-162, J. Geom. Phys. 23 (1997) 259.
33. J. Polchinski, String theory, Cambridge University Press, 1998, 2 vols.
34. B. de Wit and A. Van Proeyen, Potentials and symmetries of general gauged N = 2 supergravity-Yang-Mills models, Nucl. Phys. B 245 (1984) 89.
35. L. Andrianopoli et al., General matter coupled N = 2 supergravity, Nucl. Phys. B 476 (1996) 397 [hep-th/9603004].
36. 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, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032].
37. G. Dall'Agata, R. D'Auria, L. Sommovigo and S. Vaula, D = 4, N = 2 gauged supergravity in the presence of tensor multiplets, Nucl. Phys. B 682 (2004) 243 [hep-th/0312210].
38. L. Sommovigo and S. Vaula, D = 4, N = 2 supergravity with abelian electric and magnetic charge, Phys. Lett. B 602 (2004) 130 [hep-th/0407205].
39. R. D'Auria, L. Sommovigo and S. Vaula, N = 2 supergravity lagrangian coupled to tensor multiplets with electric and magnetic fluxes, JHEP 11 (2004) 028 [hep-th/0409097].
40. M. Graña, J. Louis and D. Waldram, Hitchin functionals in N = 2 supergravity, JHEP 01 (2006) 008 [hep-th/0505264].
41. N.J. Hitchin, Stable forms and special metrics, math.dg/0107101;
42. Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 (2003) 281 [math.dg/0209099].
43. S. Gurrieri, J. Louis, A. Micu and D. Waldram, Mirror symmetry in generalized Calabi-Yau compactifications, Nucl. Phys. B 654 (2003) 61 [hep-th/0211102].
44. A. Tomasiello, Topological mirror symmetry with fluxes, JHEP 06 (2005) 067 [hep-th/0502148].
45. R. D'Auria, S. Ferrara, M. Trigiante and S. Vaula, Gauging the Heisenberg algebra of special quaternionic manifolds, Phys. Lett. B 610 (2005) 147 [hep-th/0410290].
46. C. Beasley and E. Witten, A note on fluxes and superpotentials in M-theory compactifications on manifolds of G2 holonomy, JHEP 07 (2002) 046 [hep-th/0203061].
47. J.L.P. Karthauser and P.M. Saffin, The dynamics of coset dimensional reduction, Phys. Rev. D 73 (2006) 084027 [hep-th/0601230].
48. S. Cecotti, L. Girardello and M. Porrati, Two into one won't go, Phys. Lett. B 145 (1984) 61.
49. S. Cecotti, L. Girardello and M. Porrati, An exceptional N = 2 supergravity with flat potential and partial superhiggs, Phys. Lett. B 168 (1986) 83.
50. S. Ferrara, L. Girardello and M. Porrati, Spontaneous breaking of N = 2 to N = 1 in rigid and local supersymmetric theories, Phys. Lett. B 376 (1996) 275 [hep-th/9512180].
51. L. Andrianopoli, R. D'Auria and S. Ferrara, Consistent reduction of N = 2 N = 1 four dimensional supergravity coupled to matter, Nucl. Phys. B 628 (2002) 387 [hep-th/0112192].
52. J. Louis, Aspects of spontaneous N = 2 N = 1 breaking in supergravity, hep-th/0203138.
53. B.E. Gunara, Spontaneous N = 2 N = 1 supersymmetry breaking and the super-Higgs effect in supergravity, and references therein.
54. A. Micu, Heterotic compactifications and nearly-Kähler manifolds, Phys. Rev. D 70 (2004) 126002 [hep-th/0409008].
55. L. Castellani and L.J. Romans, N = 3 and N = 1 supersymmetry in a new class of solutions for D = 11 supergravity, Nucl. Phys. B 238 (1984) 683.
56. L.B. Anderson, A.B. Barrett and A. Lukas, M-theory on the orbifold C2/ZN, hep-th/0602055.
57. F. Mueller-Hoissen and R. Stuckl, Coset spaces and ten-dimensional unified theories, Class. and Quant. Grav. 5 (1988) 27.
58. L. Anguelova and K. Zoubos, Flux superpotential in heterotic M-theory, hep-th/0602039.
59. M. Cvetic and T. Liu, Moduli stabilization in M-theory with SU(3) structures, private communication.