The Scherk-Schwarz mechanism as a flux compactification with internal torsion

Journal of High Energy Physics

Volumn , Issue 5, 2005, Pages 1447-1476

  Andrianopoli, Laura ^a   Lledó, Maria A ^b   Trigiante, Mario ^c  

^a MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

^b INSTITUTO DE FÍSICA CORPUSCULAR IFIC   (Spain)

^c POLITECNICO DI TORINO   (Italy)

Author keywords

Field Theories in Higher Dimensions; M Theory; Supergravity Models; Superstrings and Heterotic Strings

Indexed keywords

EID: 21444433528     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/05/051     Document Type: Article

References (70)

1. J. Scherk and J.H. Schwarz, How to get masses from extra dimensions, Nucl. Phys. B 153 (1979) 61.
2. E. Cremmer, J. Scherk and J.H. Schwarz, Spontaneously broken N = 8 supergravity, Phys. Lett. B 84 (1979) 83.
3. For an exausitive review on flux compactification see A.R. Frey, Warped strings: self-dual flux and contemporary compactifications, hep-th/0308156;
4. S. B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006;
5. A.R. Frey and J. Polchinski, N = 3 warped compactifications, Phys. Rev. D 65 (2002) 126009 [hep-th/0201029];
6. S. Kachru, M.B. Schulz and S. Trivedi, Moduli stabilization from fluxes in a simple IIB orientifold, JHEP 10 (2003) 007 [hep-th/0201028];
7. P.K. Tripathy and S.P. Trivedi, Compactification with flux on K3 and tori, JHEP 03 (2003) 028 [hep-th/0301139];
8. R. Blumenhagen, D. Lüst and T.R. Taylor, Moduli stabilization in chiral type-IIB orientifold models with fluxes, Nucl. Phys. B 663 (2003) 319 [hep-th/0303016];
9. M. Berg, M. Haack and B. Körs, An orientifold with fluxes and branes via t-duality, Nucl. Phys. B 669 (2003) 3 [hep-th/0305183];
10. T. R. Taylor and C. Vafa, RR flux on Calabi- Yau and partial supersymmetry breaking, Phys. Lett. B 474 (2000) 130 [hep-th/9912152];
11. A. Giryavets, S. Kachru, P.K. Tripathy and S.P. Trivedi, Flux compactifications on Calabi-Yau threefolds, JHEP 04 (2004) 003 [hep-th/0312104];
12. M. Grana, T.W. Grimm, H. Jockers and J. Louis, Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes, Nucl. Phys. B 690 (2004) 21 [hep-th/0312232];
13. T.W. Grimm and J. Louis, The effective action of N = 1 Calabi-Yau orientifolds, Nucl. Phys. B 699 (2004) 387 [hep-th/0403067];
14. D. Lüst, S. Reffert and S. Stieberger, Flux-induced soft supersymmetry breaking in chiral type-IIB orientifolds with D3/D7-branes, Nucl. Phys. B 706 (2005) 3 [hep-th/0406092];
15. D. Lüst, P. Mayr, S. Reffert and S. Stieberger, F-theory flux, destabilization of orientifolds and soft terms on d7-branes, hep-th/0501139.
16. N. Kalopor and R.C. Myers, The, o(dd) story of massive, supergravity, JHEP 05 (1999) 010 [hep-th/9901045].
17. E. Cremmer, S. Ferrara, C. Kounnas and D.V. Nanopoulos, Naturally vanishing cosmological constant in N = 1 supergravity, Phys. Lett. B 133 (1983) 61.
18. J.R. Ells, A.B. Lahanas, D.V. Nanopoulos and K. Tamvakis, No-scale, supersymmetric standard model, Phys. Lett. B 134 (1984) 429;
19. J.R. Ells, C. Kounnas and D.V. Nanopoulos, No scale, supersymmetric guts, Nucl. Phys. B 247 (1984) 373;
20. A.B. Lahanas and D.V. Nanopoulos, The road to no scale, supergravity, Phys. Rept. 145 (1987) 1;
21. R. Barbieri, E. Cremmer and S. Ferrara, Flat and positive potentials in N = 1 supergravity, Phys. Lett. B 163 (1985) 143.
22. L. Andrianopoli, R. D'Auria, S. Ferrara and M.A. Lledo, Gauging of flat groups in four dimensional supergravity, JHEP 07 (2002) 010 [hep-th/0203206].
23. L. Andrianopoli, R. D'Auria, S. Ferrara and M.A. Lledo, Duality and spontaneously broken supergravity in flat backgrounds, Nucl. Phys. B 640 (2002) 63 [hep-th/0204145];
24. Gauged extended supergravity without, cosmological constant: no-scale structure, and supersymmetry breaking Mod. Phys. Lett. A 18 (2003) 1001 [hep-th/0212141]
25. S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, JHEP 03 (2003) 061 [hep-th/0211182].
26. R. D'Auria, S. Ferrara and S. Vaula, N = 4 gauged supergravity and a IIB orientifold with fluxes, New J. Phys. 4 (2002) 71 [hep-th/0206241];
27. R. D'Auria, S. Ferrara, M.A. Lledo and S. Vaula, No-scale N = 1 supergravity coupled to Yang-Mills: the scalar potential and super Higgs effect, Phys. Lett. B 557 (2003) 278 [hep-th/0211027];
28. L. Andrianopoli, R. D'Auria, S. Ferrara and M.A. Lledo, N = 2 super-higgs, N = 1 Poincaré vacua and quaternionic geometry, JHEP 01 (2003) 045 [hep-th/0212236];
29. 2, JHEP 03 (2003) 044 [hep-th/0302174];
30. B. de Wit, H. Samtleben and M. Trigiante, Maximal supergravity from IIB flux compactifications, Phys. Lett. B 583 (2004) 338 [hep-th/0311224];
31. 2 orientifolds with fluxes, open string moduli and critical points, Phys. Lett. B 583 (2004) 331 [hep-th/0312019].
32. C. Angelantonj, S. Ferrara and M. Trigiante, New D = 4 gauged supergravities from N = 4 orientifolds with fluxes, JHEP 10 (2003) 015 [hep-th/0306185].
33. 2 in presence of fluxes and d3-branes, JHEP 06 (2003) 045 [hep-th/0303049].
34. C. Angelantonj, S. Ferrara and M. Trigiante, Unusual gauged supergravities from type-IIA and type-IIB orientifolds, Phys. Lett. B 582 (2004) 263 [hep-th/0310136].
35. 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].
36. G. Dall'Agata and S. Ferrara, Gauged supergravity algebras from twisted tori compactifications with fluxes, hep-th/0502066.
37. L. Andrianopoli, S. Ferrara and M.A. Lledo, No-scale D = 5 supergravity from Scherk-Schwarz reduction of D = 6 theories, JHEP 06 (2004) 018 [hep-th/0406018].
38. R. Rohm, Spontaneous supersymmetry breaking in supersymmetric string theories, Nucl. Phys. B 237 (1984) 553;
39. C. Kounnas and M. Porrati, Spontaneous supersymmetry breaking in string theory, Nucl. Phys. B 310 (1988) 355;
40. S. Ferrara, C. Kounnas, M. Porrati and F. Zwirner, Superstrings with spontaneously broken supersymmetry and their effective theories, Nucl. Phys. B 318 (1989) 75;
41. C. Kounnas and B. Rostand, Coordinate dependent compactifications and discrete symmetries, Nucl. Phys. B 341 (1990) 641;
42. I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377;
43. E. Kiritsis and C. Kounnas, Perturbative and non-perturbative partial supersymmetry breaking: N = 4 → N = 2 → N = 1. Nucl. Phys. B 503 (1997) 117 [hep-th/9703059];
44. E. Kiritsis, C. Kounnas, P.M. Petropoulos and J. Rizos, String threshold corrections in models with spontaneously broken supersymmetry, Nucl. Phys. B 540 (1999) 87 [hep-th/9807067];
45. I. Antoniadis, E. Dudas and A. Sagnotti, Supersymmetry breaking, open strings and M-theory, Nucl. Phys. B 544 (1999) 469 [hep-th/9807011]:
46. Brane supersymmetry breaking, Phys. Lett. B 464 (1999) 381 [hep-th/9908023];
47. I. Antoniadis, G. D'Appollonio, E. Dudas and A. Sagnotti, Partial breaking of supersymmetry, open strings and M-theory, Nucl. Phys. B 553 (1999) 133 [hep-th/9812118];
48. I. Antoniadis, J.P. Derendinger and C. Kounnas, Non-perturbative temperature instabilities in N = 4 strings, Nucl. Phys. B 551 (1999) 41 [hep-th/9902032];
49. C. Angelantonj, I. Antoniadis, G. D'Appollonio, E. Dudas and A. Sagnotti, Type I vacua with brane supersymmetry breaking, Nucl. Phys. B 572 (2000) 36 [hep-th/9911081].
50. M. Serone and M. Trapletti, String vacua with flux from freely-acting orbifolds, JHEP 01 (2004) 012 [hep-th/0310245].
51. A. Strominger, Superstrings with torsion, Nucl. Phys. B 274 (1986) 253.
52. 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].
53. S. Gurrieri and A. Micu, Type iib theory on half-flat manifolds, Class. and Quant. Grav. 20 (2003) 2181 [hep-th/0212278];
54. 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];
55. R. D'Auria, S. Ferrara, M. Trigiante and S. Vaula, Scalar potential for the gauged heisenberg algebra and a non-polynomial antisymmetric tensor theory, Phys. Lett. B 610 (2005) 270 [hep-th/0412063].
56. G.L. Cardoso et al., Non-Kähler string backgrounds and their five torsion classes, Nucl. Phys. B 652 (2003) 5 [hep-th/0211118].
57. H. de Wit and H. Nicolai, N=8 supergravity with local SO(8) × SU(8) invariance, Phys. Lett. B-108 (1982) 285.
58. B. de Wit, H. Samtleben and M. Trigiante, On lagrangians and gaugings of maximal supergravities, Nucl. Phys. B 655 (2003) 93 [hep-th/0212239].
59. S. Hojman, M. Rosenbaum, M.P. Ryan and L.C. Shepley, Gauge invariance, minimal coupling and torsion, Phys. Rev. D 17 (1978) 3141
60. L. Andrianopoli, R. D'Auria, S. Ferrara, P. Fre and M. Trigiante, R.R. scalars, U-duality and solvable Lie algebras, Nucl. Phys. B 496 (1997) 617 [hep-th/9611014];
61. L. Andrianopoli et al., Solvable lie, algebras in type. IIA, type, IIB and M theories, Nucl. Phys. B 493 (1997) 249 [hep-th/9612202];
62. E. Cremmer, B. Julia, H. Lu and C.N. Pope, Dualisation of dualities, i, Nucl. Phys. B 523 (1998) 73 [hep-th/9710119].
63. E. Cremmer and B. Julia, The N = 8 supergravity theory, 1. The lagrangian, Phys. Lett. B 80 (1978) 48.
64. T. Damour, M. Henneaux and H. Nicolai, Cosmological billiards, Class. and Quant. Grav. 20 (2003) R145 [hep-th/0212256].
65. M. Bertolini and M. Trigiante, Regular RR and NS-NS BPS black holes, Int. J. Mod. Phys. A 15 (2000) 5017 [hep-th/9910237].
66. See formulas (8.3.30) and (8.3.31) of J. Polchinski, String theory, Cambridge University Press, 1998, vol. 1.
67. H. Lu, C.N. Pope and K.S. Stelle, Weyl group invariance, and p-brane multiplets, Nucl. Phys. B 476 (1996) 89 [hep-th/9602140].
68. O. Lunin and J. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals, hep-th/0502086.
69. L. Castellani, Croup geometric methods in supergravity and superstring theories, Int. J. Mod. Phys. A 7 (1992) 1583;
70. L. Castellani, R. D'Auria and P. Fre, Supergravity and superstrings: a geometric perspective, Mathematical foundations, vol. 1. SPIRES entry.