M-theory, exceptional generalised geometry and superpotentials

Journal of High Energy Physics

Volumn 2008, Issue 9, 2008, Pages

  Pacheco, Paulo Pires ^a   Waldram, Daniel ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Differential and algebraic geometry; Flux compactifications; M theory; String duality

Indexed keywords

EID: 58149290007     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/09/123     Document Type: Article

References (81)

1. N. Hitchin, Generalized Calabi-Yau manifolds 2003 Quart. J. Math. Oxford Ser. 54 281 [math.DG/0209099]
2. M. Gualtieri, Generalized complex geometry D.Ph. thesis, Oxford University, Oxford U.K., [math.DG/0401221]
3. N. Hitchin, Instantons, Poisson structures and generalized Kähler geometry 2006 Comm. Math. Phys. 265 131 [math.DG/0503432]
4. N. Hitchin, Brackets, forms and invariant functionals [math.DG/0508618]
5. 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]
6. 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]
7. P. Grange and R. Minasian, Modified pure spinors and mirror symmetry 2006 Nucl. Phys. B 732 366 [hep-th/0412086]
8. 2-structures and type IIB superstrings 2005 J. High Energy Phys. JHEP03(2005)053 [hep-th/0412280]
9. P. Berglund and P. Mayr, Non-perturbative superpotentials in F-theory and string duality [hep-th/0504058]
10. 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]
11. M. Grãa, J. Louis and D. Waldram, Hitchin functionals in N = 2 supergravity 2006 J. High Energy Phys. JHEP01(2006)008 [hep-th/0505264]
12. P. Koerber, Stable D-branes, calibrations and generalized Calabi-Yau geometry 2005 J. High Energy Phys. JHEP08(2005)099 [hep-th/0506154]
13. 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]
14. M. Grãa, Flux compactifications in string theory: a comprehensive review 2006 Phys. Rep. 423 91 [hep-th/0509003]
15. C. Jeschek and F. Witt, Generalised geometries, constrained critical points and Ramond-Ramond fields [math.DG/0510131]
16. I. Benmachiche and T.W. Grimm, Generalized N = 1 orientifold compactifications and the Hitchin functionals 2006 Nucl. Phys. B 748 200 [hep-th/0602241]
17. J. Louis and S. Vaula, N = 1 domain wall solutions of massive type-II supergravity as generalized geometries 2006 J. High Energy Phys. JHEP08(2006)058 [hep-th/0605063]
18. R. Minasian, M. Petrini and A. Zaffaroni, Gravity duals to deformed SYM theories and generalized complex geometry 2006 J. High Energy Phys. JHEP12(2006)055 [hep-th/0606257]
19. 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]
20. 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]
21. A. Tomasiello, Reformulating supersymmetry with a generalized Dolbeault operator 2008 J. High Energy Phys. JHEP02(2008)010 [0704.2613]
22. S. Morris, Doubled geometry versus generalized geometry 2007 Class. Quantum Grav. 24 2879
23. P. Koerber and D. Tsimpis, Supersymmetric sources, integrability and generalized-structure compactifications 2007 J. High Energy Phys. JHEP08(2007)082 [0706.1244]
24. 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]
25. A. Butti et al., On the geometry and the moduli space of β-deformed quiver gauge theories 2008 J. High Energy Phys. JHEP07(2008)053 [0712.1215]
26. A. Kapustin, Topological strings on noncommutative manifolds 2004 Int. J. Geom. Meth. Mod. Phys. 1 49 [hep-th/0310057]
27. A. Kapustin and Y. Li, Topological σ-models with H-flux and twisted generalized complex manifolds [hep-th/0407249]
28. U. Lindström, M. Rocek, R. von Unge and M. Zabzine, Generalized Kähler geometry and manifest N = (2,2) supersymmetric nonlinear σ-models 2005 J. High Energy Phys. JHEP07(2005)067 [hep-th/0411186]
29. R. Zucchini, Generalized complex geometry, generalized branes and the Hitchin σ-model 2005 J. High Energy Phys. JHEP03(2005)022 [hep-th/0501062]
30. V. Pestun and E. Witten, The Hitchin functionals and the topological B-model at one loop 2005 Lett. Math. Phys. 74 21 [hep-th/0503083]
31. U. Lindström, M. Rocek, R. von Unge and M. Zabzine, Generalized Kähler manifolds and off-shell supersymmetry 2007 Comm. Math. Phys. 269 833 [hep-th/0512164]
32. V. Pestun, Topological strings in generalized complex space 2007 Adv. Theor. Math. Phys. 11 399 [hep-th/0603145]
33. A. Kapustin and E. Witten, Electric-magnetic duality and the geometric Langlands program [hep-th/0604151]
34. W. Merrell, L.A.P. Zayas and D. Vaman, Gauged (2,2) σ-models and Generalized Kähler Geometry 2007 J. High Energy Phys. JHEP12(2007)039 [hep-th/0610116]
35. A. Kapustin and A. Tomasiello, The general (2,2) gauged σ-model with three-form flux 2007 J. High Energy Phys. JHEP11(2007)053 [hep-th/0610210]
36. U. Lindström, M. Rocek, I. Ryb, R. von Unge and M. Zabzine, New N = (2,2) vector multiplets 2007 J. High Energy Phys. JHEP08(2007)008 [0705.3201]
37. N. Halmagyi and A. Tomasiello, Generalized Kähler Potentials from Supergravity [0708.1032]
38. P. Grange and S. Schäfer-Nameki, Towards mirror symmetry la SYZ for generalized Calabi-Yau manifolds 2007 J. High Energy Phys. JHEP10(2007)052 [0708.2392]
39. A. Lawrence, T. Sander, M.B. Schulz and B. Wecht, Torsion and supersymmetry breaking 2008 J. High Energy Phys. JHEP07(2008)042 [0711.4787]
40. C.M. Hull, A geometry for non-geometric string backgrounds 2005 J. High Energy Phys. JHEP10(2005)065 [hep-th/0406102]
41. J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications 2005 J. High Energy Phys. JHEP10(2005)085 [hep-th/0508133]
42. A. Dabholkar and C. Hull, Generalised T-duality and non-geometric backgrounds 2006 J. High Energy Phys. JHEP05(2006)009 [hep-th/0512005]
43. C.M. Hull, Global aspects of T-duality, gauged σ-models and T-folds 2007 J. High Energy Phys. JHEP10(2007)057 [hep-th/0604178]
44. C.M. Hull, Doubled geometry and T-folds 2007 J. High Energy Phys. JHEP07(2007)080 [hep-th/0605149]
45. J. Shelton, W. Taylor and B. Wecht, Generalized flux vacua 2007 J. High Energy Phys. JHEP02(2007)095 [hep-th/0607015]
46. P. Grange and S. Schäfer-Nameki, T-duality with H-flux: non-commutativity, T-folds and G × G structure 2007 Nucl. Phys. B 770 123 [hep-th/0609084]
47. R.A. Reid-Edwards, Geometric and non-geometric compactifications of IIB supergravity [hep-th/0610263]
48. C.M. Hull and R.A. Reid-Edwards, Gauge symmetry, T-duality and doubled geometry 2008 J. High Energy Phys. JHEP08(2008)043 [0711.4818]
49. C.M. Hull, Generalised geometry for M-theory 2007 J. High Energy Phys. JHEP07(2007)079 [hep-th/0701203]
50. E. Cremmer and B. Julia, The SO(8) supergravity, 1979 Nucl. Phys. B 159 141
51. B. Julia, Group disintegrations in Supergravity and Superspace S.W. Hawking and M. Rocek eds., (Cambridge University Press, Cambridge) U.K. (1981)
52. th Johns Hopkins Workshop on Current Problems in Particle Theory, John Hopkins, Baltimore U.S.A. (1981)
53. C.M. Hull and P.K. Townsend, Unity of superstring dualities 1995 Nucl. Phys. B 438 109 [hep-th/9410167]
54. B. de Wit and H. Nicolai, D = 11 supergravity with local SU(8) invariance, 1986 Nucl. Phys. B 274 363
55. H. Nicolai, D = 11 supergravity with local SO(16) invariance, 1987 Phys. Lett. B 187 316
56. K. Koepsell, H. Nicolai and H. Samtleben, An exceptional geometry for D = 11 supergravity? 2000 Class. Quantum Grav. 17 3689 [hep-th/0006034]
57. 11 and M-theory, 2001 Class. Quantum Grav. 18 4443 [hep-th/0104081]
58. 11, SL(32) and central charges, 2003 Phys. Lett. B 575 333 [hep-th/0307098]
59. 11-extended spacetime and gauged supergravities, 2008 J. High Energy Phys. JHEP02(2008)039 [0712.1795]
60. 10 and a 'small tension expansion' of M-theory, 2002 Phys. Rev. Lett. 89 221601 [hep-th/0207267]
61. 10 and SO(9,9) invariant supergravity, 2004 J. High Energy Phys. JHEP07(2004)041 [hep-th/0407101]
62. 2 structure 2005 Class. Quantum Grav. 22 1709 [hep-th/0412006]
63. N.J. Hitchin, Lectures on special lagrangian submanifolds [math.DG/9907034]
64. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory 1994 Phys. Rep. 244 77 [hep-th/9401139]
65. C.M. Hull, Gravitational duality, branes and charges 1998 Nucl. Phys. B 509 216 [hep-th/9705162]
66. E. Cremmer, B. Julia, H. Lü and C.N. Pope, Dualisation of dualities. II: twisted self-duality of doubled fields and superdualities 1998 Nucl. Phys. B 535 242 [hep-th/9806106]
67. 4 2005 Phys. Rev. D 71 046005 [hep-th/0403235]
68. P. Pires Pacheco and D. Waldram, work in progress
69. N.J. Hitchin, The geometry of three-forms in six and seven dimensions [math.DG/0010054]
70. R. Dijkgraaf, S. Gukov, A. Neitzke and C. Vafa, Topological M-theory as unification of form theories of gravity 2005 Adv. Theor. Math. Phys. 9 603 [hep-th/0411073]
71. N. Nekrasov, A la recherche de la m-theorie perdue. Z theory: casing m/f theory [hep-th/0412021]
72. A.A. Gerasimov and S.L. Shatashvili, Towards integrability of topological strings. I: three-forms on Calabi-Yau manifolds 2004 J. High Energy Phys. JHEP11(2004)074 [hep-th/0409238]
73. J. de Boer, P. de Medeiros, S. El-Showk and A. Sinkovics, G2 Hitchin functionals at one loop 2008 Class. Quantum Grav. 25 075006 [0706.3119]
74. 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]
75. J.P. Gauntlett and S. Pakis, The geometry of D = 11 Killing spinors 2003 J. High Energy Phys. JHEP04(2003)039 [hep-th/0212008]
76. G. Dall'Agata, N. Prezas, H. Samtleben and M. Trigiante, Gauged supergravities from twisted doubled tori and non-geometric string backgrounds 2008 Nucl. Phys. B 799 80 [0712.1026]
77. B. de Wit, H. Samtleben and M. Trigiante, On Lagrangians and gaugings of maximal supergravities 2003 Nucl. Phys. B 655 93 [hep-th/0212239]
78. B. de Wit, H. Samtleben and M. Trigiante, The maximal D = 4 supergravities 2007 J. High Energy Phys. JHEP06(2007)049 [0705.2101]
79. E. Cartan, Oeuvres completes T1, Part 1 (These) Gauthier-Villars, Paris France (1952)
80. 11 origin of brane charges and U-duality multiplets, 2004 J. High Energy Phys. JHEP08(2004)052 [hep-th/0406150]
81. 11, 2005 J. High Energy Phys. JHEP03(2005)077 [hep-th/0412336]