A ten-dimensional action for non-geometric fluxes

Journal of High Energy Physics

Volumn 2011, Issue 9, 2011, Pages

  Andriot, David ^a   Larfors, Magdalena ^a   Lüst, Dieter ^a,b   Patalong, Peter ^a,b  

^a UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

Author keywords

Flux compactifications; String duality

Indexed keywords

EID: 84881244694     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP09(2011)134     Document Type: Review

References (85)

1. S. Hellerman, J. McGreevy and B. Williams, Geometric Constructions of Nongeometric String Theories, JHEP 01 (2004) 024 [hep-th/0208174] [SPIRES].
2. A. Dabholkar and C. Hull, Duality twists, orbifolds and fluxes, JHEP 09 (2003) 054 [hep-th/0210209] [SPIRES].
3. J. Shelton, W. Taylor and B. Wecht, Nongeometric Flux Compactifications, JHEP 10 (2005) 085 [hep-th/0508133] [SPIRES].
4. J. Shelton, W. Taylor and B. Wecht, Generalized flux vacua, JHEP 02 (2007) 095 [hep-th/0607015] [SPIRES].
5. A. Micu, E. Palti and G. Tasinato, Towards Minkowski Vacua in Type II String Compactifications, JHEP 03 (2007) 104 [hep-th/0701173] [SPIRES].
6. E. Palti, Low Energy Supersymmetry from Non-Geometry, JHEP 10 (2007) 011 [arXiv:0707.1595] [SPIRES].
7. B. de Carlos, A. Guarino and J.M. Moreno, Flux moduli stabilisation, Supergravity algebras and no-go theorems, JHEP 01 (2010) 012 [arXiv:0907.5580] [SPIRES].
8. B. de Carlos, A. Guarino and J.M. Moreno, Complete classification of Minkowski vacua in generalised flux models, JHEP 02 (2010) 076 [arXiv:0911.2876] [SPIRES].
9. R. Blumenhagen and E. Plauschinn, Nonassociative Gravity in String Theory?, J. Phys. A 44 (2011) 015401 [arXiv:1010.1263] [SPIRES].
10. D. Lüst, T-duality and closed string non-commutative (doubled) geometry, JHEP 12 (2010) 084 [arXiv:1010.1361] [SPIRES].
11. R. Blumenhagen, A. Deser, D. Lüst, E. Plauschinn and F. Rennecke, Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry, J. Phys. A 44 (2011) 385401 [arXiv:1106.0316] [SPIRES].
12. P. Grange and S. Schäfer-Nameki, T-duality with H-flux: Non-commutativity, T-folds and G x G structure, Nucl. Phys. B 770 (2007) 123 [hep-th/0609084] [SPIRES].
13. A. Dabholkar and C. Hull, Generalised T-duality and non-geometric backgrounds, JHEP 05 (2006) 009 [hep-th/0512005] [SPIRES].
14. A. Flournoy, B. Wecht and B. Williams, Constructing nongeometric vacua in string theory, Nucl. Phys. B 706 (2005) 127 [hep-th/0404217] [SPIRES].
15. S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, JHEP 03 (2003) 061 [hep-th/0211182] [SPIRES].
16. R.A. Reid-Edwards and B. Spanjaard, N = 4 Gauged Supergravity from Duality-Twist Compactifications of String Theory, JHEP 12 (2008) 052 [arXiv:0810.4699] [SPIRES].
17. J. McOrist, D.R. Morrison and S. Sethi, Geometries, Non-Geometries and Fluxes, arXiv:1004.5447 [SPIRES].
18. D. Andriot, Heterotic string from a higher dimensional perspective, arXiv:1102.1434 [SPIRES].
19. J. Maharana and J.H. Schwarz, Noncompact symmetries in string theory, Nucl. Phys. B 390 (1993) 3 [hep-th/9207016] [SPIRES].
20. O. Hohm, C. Hull and B. Zwiebach, Generalized metric formulation of double field theory, JHEP 08 (2010) 008 [arXiv:1006.4823] [SPIRES].
21. N. Hitchin, Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford Ser. 54 (2003) 281 [math/0209099].
22. M. Gualtieri, Generalized complex geometry, math/0401221.
23. P. Grange and S. Schäfer-Nameki, Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds, JHEP 10 (2007) 052 [arXiv:0708.2392] [SPIRES].
24. M. Graña, R. Minasian, M. Petrini and D. Waldram, T-duality, Generalized Geometry and Non-Geometric Backgrounds, JHEP 04 (2009) 075 [arXiv:0807.4527] [SPIRES].
25. D. Andriot, work in progress.
26. D.A. Lowe, H. Nastase and S. Ramgoolam, Massive IIA string theory and matrix theory compactification, Nucl. Phys. B 667 (2003) 55 [hep-th/0303173] [SPIRES].
27. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994) 77 [hep-th/9401139] [SPIRES].
28. D.C. Thompson, T-duality Invariant Approaches to String Theory, arXiv:1012.4393 [SPIRES].
29. A. Strominger, S.-T. Yau and E. Zaslow, Mirror symmetry is T-duality, Nucl. Phys. B 479 (1996) 243 [hep-th/9606040] [SPIRES].
30. A. Kumar and C. Vafa, U-manifolds, Phys. Lett. B 396 (1997) 85 [hep-th/9611007] [SPIRES].
31. C.M. Hull and A. Catal-Ozer, Compactifications with S-duality twists, JHEP 10 (2003) 034 [hep-th/0308133] [SPIRES].
32. R.A. Reid-Edwards, Geometric and non-geometric compactifications of IIB supergravity, JHEP 12 (2008) 043 [hep-th/0610263] [SPIRES].
33. C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [SPIRES].
34. E. Hackett-Jones and G. Moutsopoulos, Quantum mechanics of the doubled torus, JHEP 10 (2006) 062 [hep-th/0605114] [SPIRES].
35. C.M. Hull, Doubled geometry and T-folds, JHEP 07 (2007) 080 [hep-th/0605149] [SPIRES].
36. D.S. Berman, N.B. Copland and D.C. Thompson, Background Field Equations for the Duality Symmetric String, Nucl. Phys. B 791 (2008) 175 [arXiv:0708.2267] [SPIRES].
37. D.S. Berman and D.C. Thompson, Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions, Phys. Lett. B 662 (2008) 279 [arXiv:0712.1121] [SPIRES].
38. N.B. Copland, Connecting T-duality invariant theories, arXiv:1106.1888 [SPIRES].
39. 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] [SPIRES].
40. S. Fidanza, R. Minasian and A. Tomasiello, Mirror symmetric SU(3)-structure manifolds with NS fluxes, Commun. Math. Phys. 254 (2005) 401 [hep-th/0311122] [SPIRES].
41. W. Schulgin and J. Troost, Backreacted T-folds and non-geometric regions in configuration space, JHEP 12 (2008) 098 [arXiv:0808.1345] [SPIRES].
42. A. Flournoy and B. Williams, Nongeometry, duality twists and the worldsheet, JHEP 01 (2006) 166 [hep-th/0511126] [SPIRES].
43. S. Hellerman and J. Walcher, Worldsheet CFTs for flat monodrofolds, hep-th/0604191 [SPIRES].
44. M.T. Mueller and E. Witten, Twisting Toroidally Compactified Heterotic Strings with Enlarged Symmetry Groups, Phys. Lett. B 182 (1986) 28 [SPIRES].
45. K.S. Narain, M.H. Sarmadi and C. Vafa, Asymmetric Orbifolds, Nucl. Phys. B 288 (1987) 551 [SPIRES].
46. B. Wecht, Lectures on Nongeometric Flux Compactifications, Class. Quant. Grav. 24 (2007) S773 [arXiv:0708.3984] [SPIRES].
47. T.H. Buscher, A Symmetry of the String Background Field Equations, Phys. Lett. B 194 (1987) 59 [SPIRES].
48. T.H. Buscher, Path Integral Derivation of Quantum Duality in Nonlinear σ-models, Phys. Lett. B 201 (1988) 466 [SPIRES].
49. N. Kaloper and R.C. Myers, The O(dd) story of massive supergravity, JHEP 05 (1999) 010 [hep-th/9901045] [SPIRES].
50. J.-P. Derendinger, C. Kounnas, P.M. Petropoulos and F. Zwirner, Superpotentials in IIA compactifications with general fluxes, Nucl. Phys. B 715 (2005) 211 [hep-th/0411276] [SPIRES].
51. G. Dall'Agata and S. Ferrara, Gauged supergravity algebras from twisted tori compactifications with fluxes, Nucl. Phys. B 717 (2005) 223 [hep-th/0502066] [SPIRES].
52. C.M. Hull and R.A. Reid-Edwards, Flux compactifications of string theory on twisted tori, Fortsch. Phys. 57 (2009) 862 [hep-th/0503114] [SPIRES].
53. G. Dall'Agata, N. Prezas, H. Samtleben and M. Trigiante, Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds, Nucl. Phys. B 799 (2008) 80 [arXiv:0712.1026] [SPIRES].
54. C.M. Hull and R.A. Reid-Edwards, Gauge Symmetry, T-duality and Doubled Geometry, JHEP 08 (2008) 043 [arXiv:0711.4818] [SPIRES].
55. M. Evans and I. Giannakis, T-duality in Arbitrary String Backgrounds, Nucl. Phys. B 472 (1996) 139 [hep-th/9511061] [SPIRES].
56. C.M. Hull, Global Aspects of T-duality, Gauged σ-models and T-Folds, JHEP 10 (2007) 057 [hep-th/0604178] [SPIRES].
57. S. Jensen, The KK-Monopole/NS5-Brane in Doubled Geometry, JHEP 07 (2011) 088 [arXiv:1106.1174] [SPIRES].
58. N. Halmagyi, Non-geometric Backgrounds and the First Order String σ-model, arXiv:0906.2891 [SPIRES].
59. D. Andriot, E. Goi, R. Minasian and M. Petrini, Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory, JHEP 05 (2011) 028 [arXiv:1003.3774] [SPIRES].
60. I.T. Ellwood, NS-NS fluxes in Hitchin's generalized geometry, JHEP 12 (2007) 084 [hep-th/0612100] [SPIRES].
61. R. Minasian, M. Petrini and A. Zaffaroni, Gravity duals to deformed SYM theories and generalized complex geometry, JHEP 12 (2006) 055 [hep-th/0606257] [SPIRES].
62. O. Lunin and J.M. Maldacena, Deforming field theories with U(1) x U(1) global symmetry and their gravity duals, JHEP 05 (2005) 033 [hep-th/0502086] [SPIRES].
63. N. Halmagyi, Non-geometric String Backgrounds and Worldsheet Algebras, JHEP 07 (2008) 137 [arXiv:0805.4571] [SPIRES].
64. M. Ihl, D. Robbins and T. Wrase, Toroidal Orientifolds in IIA with General NS-NS Fluxes, JHEP 08 (2007) 043 [arXiv:0705.3410] [SPIRES].
65. M. Graña, J. Louis and D. Waldram, Hitchin functionals in N = 2 supergravity, JHEP 01 (2006) 008 [hep-th/0505264] [SPIRES].
66. I. Benmachiche and T.W. Grimm, Generalized N = 1 orientifold compactifications and the Hitchin functionals, Nucl. Phys. B 748 (2006) 200 [hep-th/0602241] [SPIRES].
67. M. Graña, J. Louis and D. Waldram, SU(3) x SU(3) compactification and mirror duals of magnetic fluxes, JHEP 04 (2007) 101 [hep-th/0612237] [SPIRES].
68. G. Aldazabal, P.G. Camara, A. Font and L.E. Ibáñez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [SPIRES].
69. D. Robbins and T. Wrase, D-terms from Generalized NS-NS Fluxes in Type II, JHEP 12 (2007) 058 [arXiv:0709.2186] [SPIRES].
70. D.M. Belov, C.M. Hull and R. Minasian, T-duality, Gerbes and Loop Spaces, arXiv:0710.5151 [SPIRES].
71. K. Becker, M. Becker, C. Vafa and J. Walcher, Moduli stabilization in non-geometric backgrounds, Nucl. Phys. B 770 (2007) 1 [hep-th/0611001] [SPIRES].
72. M.P. Hertzberg, S. Kachru, W. Taylor and M. Tegmark, Inflationary Constraints on Type IIA String Theory, JHEP 12 (2007) 095 [arXiv:0711.2512] [SPIRES].
73. C. Hull and B. Zwiebach, Double Field Theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [SPIRES].
74. C. Hull and B. Zwiebach, The gauge algebra of double field theory and Courant brackets, JHEP 09 (2009) 090 [arXiv:0908.1792] [SPIRES].
75. O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [SPIRES].
76. F. Marchesano and W. Schulgin, Non-geometric fluxes as supergravity backgrounds, Phys. Rev. D 76 (2007) 041901 [arXiv:0704.3272] [SPIRES].
77. G. Aldazabal, P.G. Camara and J.A. Rosabal, Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications, Nucl. Phys. B 814 (2009) 21 [arXiv:0811.2900] [SPIRES].
78. G. Dibitetto, R. Linares and D. Roest, Flux Compactifications, Gauge Algebras and de Sitter, Phys. Lett. B 688 (2010) 96 [arXiv:1001.3982] [SPIRES].
79. C.M. Hull, Generalised geometry for M-theory, JHEP 07 (2007) 079 [hep-th/0701203] [SPIRES].
80. P.P. Pacheco and D. Waldram, M-theory, exceptional generalised geometry and superpotentials, JHEP 09 (2008) 123 [arXiv:0804.1362] [SPIRES].
81. M. Graña, J. Louis, A. Sim and D. Waldram, E 7(7) formulation of N = 2 backgrounds, JHEP 07 (2009) 104 [arXiv:0904.2333] [SPIRES].
82. G. Aldazabal, E. Andres, P.G. Camara and M. Graña, U-dual fluxes and Generalized Geometry, JHEP 11 (2010) 083 [arXiv:1007.5509] [SPIRES].
83. M. Graña and F. Orsi, N = 1 vacua in Exceptional Generalized Geometry, arXiv:1105.4855 [SPIRES].
84. D.S. Berman and M.J. Perry, Generalized Geometry and M-theory, JHEP 06 (2011) 074 [arXiv:1008.1763] [SPIRES].
85. D.S. Berman, H. Godazgar and M.J. Perry, SO(5, 5) duality in M-theory and generalized geometry, Phys. Lett. B 700 (2011) 65 [arXiv:1103.5733] [SPIRES].