On T-folds, G-structures and supersymmetry

Journal of High Energy Physics

Volumn 2006, Issue 5, 2006, Pages

  Gray, James ^a   Hackett Jones, Emily ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Flux compactifications; Supergravity Models; Supersymmetric Effective Theories; Supersymmetry and Duality

Indexed keywords

EID: 33747469458     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/05/071     Document Type: Article

References (75)

1. C.M. Hull, A geometry for non-geometric string backgrounds 2005 J. High Energy Phys. JHEP10(2005)065 [hep-th/0406102]
2. B.R. Greene, A.D. Shapere, C. Vafa and S.-T. Yau, Stringy cosmic strings and noncompact Calabi-Yau manifolds 1990 Nucl. Phys. B 337 1
3. C. Vafa, Evidence for F-theory 1996 Nucl. Phys. B 469 403 [hep-th/9602022]
4. A. Kumar and C. Vafa, U-manifolds 1997 Phys. Lett. B 396 85 [hep-th/9611007]
5. S. Hellerman, J. McGreevy and B. Williams, Geometric constructions of nongeometric string theories 2004 J. High Energy Phys. JHEP01(2004)024 [hep-th/0208174]
6. A. Dabholkar and C. Hull, Duality twists, orbifolds and fluxes 2003 J. High Energy Phys. JHEP09(2003)054 [hep-th/0210209]
7. S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications 2003 J. High Energy Phys. JHEP03(2003)061 [hep-th/0211182]
8. C.M. Hull and A. Catal-Ozer, Compactifications with S-duality twists 2003 J. High Energy Phys. JHEP10(2003)034 [hep-th/0308133]
9. A. Flournoy, B. Wecht and B. Williams, Constructing nongeometric vacua in string theory 2005 Nucl. Phys. B 706 127 [hep-th/0404217]
10. U. Lindström, R. Minasian, A. Tomasiello and M. Zabzine, Generalized complex manifolds and supersymmetry 2005 Comm. Math. Phys. 257 235 [hep-th/0405085]
11. C.M. Hull and R.A. Reid-Edwards, Flux compactifications of string theory on twisted tori [hep-th/0503114]
12. A. Dabholkar and C. Hull, Generalised T-duality and non-geometric backgrounds [hep-th/0512005]
13. J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications 2005 J. High Energy Phys. JHEP10(2005)085 [hep-th/0508133]
14. A. Lawrence, M.B. Schulz and B. Wecht, D-branes in nongeometric backgrounds [hep-th/0602025]
15. M.B. Schulz, Superstring orientifolds with torsion: O5 orientifolds of torus fibrations and their massless spectra 2004 Fortschr. Phys. 52 963 [hep-th/0406001]
16. A. Flournoy and B. Williams, Nongeometry, duality twists and the worldsheet 2006 J. High Energy Phys. JHEP01(2006)166 [hep-th/0511126]
17. K.S. Narain, M.H. Sarmadi and C. Vafa, Asymmetric orbifolds 1987 Nucl. Phys. B 288 551
18. This can be shown using the results of: E. Witten, Non-perturbative superpotentials in string theory 1996 Nucl. Phys. B 474 343 [hep-th/9604030]
19. J. Scherk and J.H. Schwarz, How to get masses from extra dimensions 1979 Nucl. Phys. B 153 61
20. J. Scherk and J.H. Schwarz, Spontaneous breaking of supersymmetry through dimensional reduction 1979 Phys. Lett. B 82 60
21. A. Salam and E. Sezgin, D ≤ 8 supergravity 1985 Nucl. Phys. B 258 284
22. E. Bergshoeff, M. de Roo, M.B. Green, G. Papadopoulos and P.K. Townsend, Duality of type-II 7-branes and 8-branes 1996 Nucl. Phys. B 470 113 [hep-th/9601150]
23. I.V. Lavrinenko, H. Lu and C.N. Pope, Fibre bundles and generalised dimensional reductions 1998 Class. Quantum Grav. 15 2239 [hep-th/9710243]
24. N. Kaloper, R.R. Khuri and R.C. Myers, On generalized axion reductions 1998 Phys. Lett. B 428 297 [hep-th/9803066]
25. C.M. Hull, Massive string theories from M-theory and F-theory 1998 J. High Energy Phys. JHEP11(1998)027 [hep-th/9811021]
26. C.M. Hull, Gauged D ≤ 9 supergravities and Scherk-Schwarz reduction 2004 Class. Quantum Grav. 21 509 [hep-th/0203146]
27. E. Bergshoeff, M. de Roo and E. Eyras, Gauged supergravity from dimensional reduction 1997 Phys. Lett. B 413 70 [hep-th/9707130]
28. P. Meessen and T. Ortin, An SL(2,) multiplet of nine-dimensional type-II supergravity theories, 1999 Nucl. Phys. B 541 195 [hep-th/9806120]
29. P.M. Cowdall, H. Lu, C.N. Pope, K.S. Stelle and P.K. Townsend, Domain walls in massive supergravities 1997 Nucl. Phys. B 486 49 [hep-th/9608173]
30. P.M. Cowdall, Novel domain wall and minkowski vacua of D ≤ 9 maximal SO(2) gauged supergravity [hep-th/0009016]
31. E. Bergshoeff, U. Gran and D. Roest, Type iib seven-brane solutions from nine-dimensional domain walls 2002 Class. Quantum Grav. 19 4207 [hep-th/0203202]
32. N. Kaloper and R.C. Myers, The O(dd) story of massive supergravity 1999 J. High Energy Phys. JHEP05(1999)010 [hep-th/9901045]
33. M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope, Consistent group and coset reductions of the bosonic string 2003 Class. Quantum Grav. 20 5161 [hep-th/0306043]
34. E. Bergshoeff et al., The bianchi classification of maximal D ≤ 8 gauged supergravities 2003 Class. Quantum Grav. 20 3997 [hep-th/0306179]
35. N. Alonso Alberca et al., Domain walls of D ≤ 8 gauged supergravities and their D ≤ 11 origin 2003 J. High Energy Phys. JHEP06(2003)038 [hep-th/0303113]
36. B. de Wit, H. Samtleben and M. Trigiante, On lagrangians and gaugings of maximal supergravities 2003 Nucl. Phys. B 655 93 [hep-th/0212239]
37. S.F. Hassan, T-duality, space-time spinors and RR fields in curved backgrounds 2000 Nucl. Phys. B 568 145 [hep-th/9907152]
38. S.F. Hassan, SO(d,d) transformations of Ramond-Ramond fields and space-time spinors 2000 Nucl. Phys. B 583 431 [hep-th/9912236]
39. S.F. Hassan, Supersymmetry and the systematics of T-duality rotations in type-II superstring theories 2001 Nucl. Phys. (Proc. Suppl.) 102 77 [hep-th/0103149]
40. J.P. Gauntlett, N.W. Kim, D. Martelli and D. Waldram, Fivebranes wrapped on SLAG three-cycles and related geometry 2001 J. High Energy Phys. JHEP11(2001)018 [hep-th/0110034]
41. J.P. Gauntlett, D. Martelli, S. Pakis and D. Waldram, G-structures and wrapped NS5-branes 2004 Comm. Math. Phys. 247 421 [hep-th/0205050]
42. T. Friedrich and S. Ivanov, Parallel spinors and connections with skew-symmetric torsion in string theory [math.dg/0102142]
43. 2-manifolds [math.dg/0112201]
44. S. Ivanov, Connection with torsion, parallel spinors and geometry of Spin(7) manifolds [math.dg/0111216]
45. 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]
46. J.P. Gauntlett and S. Pakis, The geometry of D ≤ 11 Killing spinors 2003 J. High Energy Phys. JHEP04(2003)039 [hep-th/0212008]
47. P. Kaste, R. Minasian, M. Petrini and A. Tomasiello, Kaluza-Klein bundles and manifolds of exceptional holonomy 2002 J. High Energy Phys. JHEP09(2002)033 [hep-th/0206213]
48. S. Gurrieri and A. Micu, Type IIB theory on half-flat manifolds 2003 Class. Quantum Grav. 20 2181 [hep-th/0212278]
49. P. Kaste, R. Minasian, M. Petrini and A. Tomasiello, Nontrivial RR two-form field strength and SU(3)-structure, 2003 Fortschr. Phys. 51 764 [hep-th/0301063]
50. K. Behrndt and C. Jeschek, Fluxes in M-theory on 7-manifolds and G structures 2003 J. High Energy Phys. JHEP04(2003)002 [hep-th/0302047]
51. J.P. Gauntlett, D. Martelli and D. Waldram, Superstrings with intrinsic torsion 2004 Phys. Rev. D 69 086002 [hep-th/0302158]
52. J.P. Gauntlett, J.B. Gutowski and S. Pakis, The geometry of D ≤ 11 null Killing spinors 2003 J. High Energy Phys. JHEP12(2003)049 [hep-th/0311112]
53. K. Behrndt and C. Jeschek, Fluxes in M-theory on 7-manifolds: G-structures and superpotential 2004 Nucl. Phys. B 694 99 [hep-th/0311119]
54. 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]
55. A.R. Frey, Notes on SU(3) structures in type-IIB supergravity, 2004 J. High Energy Phys. JHEP06(2004)027 [hep-th/0404107]
56. C. Jeschek, Generalized Calabi-Yau structures and mirror symmetry [hep-th/0406046]
57. M. Grana, 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]
58. S. Gurrieri, A. Lukas and A. Micu, Heterotic on half-flat 2004 Phys. Rev. D 70 126009 [hep-th/0408121]
59. 2 structure 2005 Class. Quantum Grav. 22 1709 [hep-th/0412006]
60. 2-structures and type-IIB superstrings 2005 J. High Energy Phys. JHEP03(2005)053 [hep-th/0412280]
61. A. Tomasiello, Topological mirror symmetry with fluxes 2005 J. High Energy Phys. JHEP06(2005)067 [hep-th/0502148]
62. K. Behrndt, M. Cvetic and P. Gao, General type-IIB fluxes with SU(3) structures, 2005 Nucl. Phys. B 721 287 [hep-th/0502154]
63. 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]
64. M. Grana, R. Minasian, M. Petrini and A. Tomasiello, Generalized structures of N ≤ 1 vacua 2005 J. High Energy Phys. JHEP11(2005)020 [hep-th/0505212]
65. M. Grana, J. Louis and D. Waldram, Hitchin functionals in N ≤ 2 supergravity 2006 J. High Energy Phys. JHEP01(2006)008 [hep-th/0505264]
66. M. Haack, J. Louis and H. Singh, Massive type-IIA theory on K3 2001 J. High Energy Phys. JHEP04(2001)040 [hep-th/0102110]
67. H. Singh, Romans type-IIA theory and the heterotic strings 2002 Phys. Lett. B 545 403 [hep-th/0201206]
68. H. Singh, Duality symmetric massive type-II theories in D ≤ 8 and D ≤ 6 2002 J. High Energy Phys. JHEP04(2002)017 [hep-th/0109147]
69. G. Lopes Cardoso et al., Non-Kähler string backgrounds and their five torsion classes 2003 Nucl. Phys. B 652 5 [hep-th/0211118]
70. G. Lopes Cardoso, G. Curio, G. Dall'Agata and D. Lüst, Heterotic string theory on non-Kähler manifolds with H-flux and gaugino condensate 2004 Fortschr. Phys. 52 483 [hep-th/0310021]
71. G. Dall'Agata and N. Prezas, N ≤ 1 geometries for M-theory and type-IIA strings with fluxes 2004 Phys. Rev. D 69 066004 [hep-th/0311146]
72. G. Dall'Agata, On supersymmetric solutions of type-IIB supergravity with general fluxes 2004 Nucl. Phys. B 695 243 [hep-th/0403220]
73. G. Lopes Cardoso, G. Curio, G. Dall'Agata and D. Lüst, Gaugino condensation and generation of supersymmetric 3-form flux 2004 J. High Energy Phys. JHEP09(2004)059 [hep-th/0406118]
74. J. Maharana and J.H. Schwarz, Noncompact symmetries in string theory 1993 Nucl. Phys. B 390 3 [hep-th/9207016]
75. S.F. Hassan, O(d,d:R) deformations of complex structures and extended world sheet supersymmetry 1995 Nucl. Phys. B 454 86 [hep-th/9408060]