A note on fluxes and superpotentials in M-theory compactifications on manifolds of G2 holonomy

Journal of High Energy Physics

Volumn 6, Issue 7, 2002, Pages 1175-1188

  Beasley, Chris ^a   Witten, Edward ^b  

^a PRINCETON UNIVERSITY   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

M Theory; Supergravity Models; Supersymmetric Effective Theories

Indexed keywords

EID: 23044471679     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/07/046     Document Type: Article

References (26)

1. K. Becker and M. Becker, M-theory on eight-manifolds, Nucl. Phys. B 477 (1996) 155 [hep-th/9605053].
2. B. de Wit, D.J. Smit and N.B. Hari Dass, Residual supersymmetry of compactified D = 10 supergravity, Nucl. Phys. B 283 (1987) 165.
3. B.S. Acharya and B. Spence, Flux, supersymmetry and M-theory on 7-manifolds, hep-th/0007213.
4. M. J. Duff and P. van Nieuwenhuizen, Quantum inequivalence of different field representations, Phys. Lett. B 94 (1980) 179.
5. A. Aurilia, H. Nicolai and P.K. Townsend, Hidden constants: the theta parameter of QCD and the cosmological constant of N = 8 supergravity, Nucl. Phys. B 176 (1980) 509.
6. S. Gukov, C. Vafa and E. Witten, CFT's from Calabi-Yau four-folds, Nucl. Phys. B 584 (2000) 69 [hep-th/9906070].
7. S. Gukov, Solitons, superpotentials and calibrations, Nucl. Phys. B 574 (2000) 169 [hep-th/9911011].
8. M. Haack and J. Louis, M-theory compactified on Calabi-Yau fourfolds with background flux, Phys. Lett. B 507 (2001) 296 [hep-th/0103068].
9. 2 holonomy, hep-th/0107177.
10. 2 holonomy, hep-th/0109152.
11. 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].
12. J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026.
13. 2 manifolds, Nucl. Phys. B 615 (2001) 237 [hep-th/0104105].
14. 2 1, J. Diff. Geom. 43 (1996) 291.
15. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions, Phys. Lett. B 76 (1978) 409.
16. C. Vafa and E. Witten, A one loop test of string duality, Nucl. Phys. B 447 (1995) 261 [hep-th/9505053].
17. S.P. de Alwis, A note on brane tension and M-theory, Phys. Lett. B 388 (1996) 291 [hep-th/9607011].
18. E. Witten, On flux quantization in M-theory and the effective action, J. Geom. Phys. 22 (1997) 1 [hep-th/9609122].
19. E. Witten, Five-brane effective action in M-theory, J. Geom. Phys. 22 (1997) 103 [hep-th/9610234].
20. D.N. Page, Classical stability of round and squashed seven spheres in eleven-dimensional supergravity, Phys. Rev. D 28 (1983) 2976.
21. K. Becker et al., Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116].
22. B. Chibisov and M.A. Shifman, BPS-saturated walls in supersymmetric theories, Phys. Rev. D 56 (1997) 7990 [hep-th/9706141]; erratum ibid. D58 (1998) 109901.
23. nd ed., Princeton Univ. Press, 1992.
24. D.D. Joyce, Compact Manifolds with Special Holonomy, Oxford Univ. Press, 2000.
25. R.L. Bryant, Metrics with exceptional holonomy, Ann. Math. 126 (1987) 525.
26. S. Coleman, More about the massive Schwinger model, Ann. Phys. (NY) 101 (1976) 239.