Consistent truncation of d = 11 supergravity on AdS 4 × S 7

Journal of High Energy Physics

Volumn 2012, Issue 3, 2012, Pages

  Nicolai, Hermann ^a   Pilch, Krzysztof ^b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Flux compactifications; M Theory; Superstring Vacua

Indexed keywords

EID: 84859595843     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2012)099     Document Type: Article

References (47)

1. B. de Wit and H. Nicolai, N = 8 supergravity, Nucl. Phys. B 208 (1982) 323.
2. E. Cremmer, B. Julia and J. Scherk, Supergravity theory in eleven-dimensions, Phys. Lett. B 76 (1978) 409.
3. 7 truncation in D = 11 supergravity, Nucl. Phys. B 281 (1987) 211.
4. B. de Wit and H. Nicolai, D = 11 supergravity with local SU(8) invariance, Nucl. Phys. B 274 (1986) 363.
5. 4 reduction and the origin of selfduality in odd dimensions, Nucl. Phys. B 581 (2000) 179 [hep-th/9911238].
6. A. Khavaev, K. Pilch and N.P. Warner, New vacua of gauged N = 8 supergravity in five-dimensions, Phys. Lett. B 487 (2000) 14 [hep-th/9812035].
7. K. Pilch and N.P. Warner, N = 1 supersymmetric renormalization group flows from IIB supergravity, Adv. Theor. Math. Phys. 4 (2002) 627 [hep-th/0006066].
8. A. Khavaev and N.P. Warner, An N = 1 supersymmetric Coulomb flow in IIB supergravity, Phys. Lett. B 522 (2001) 181 [hep-th/0106032]
9. M. Cvetic, H. Lü and C. Pope, Consistent Kaluza-Klein sphere reductions, Phys. Rev. D 62 (2000) 064028 [hep-th/0003286]
10. M. Cvetic, H. Lü and C. Pope, Four-dimensional N = 4, SO(4) gauged supergravity from D = 11, Nucl. Phys. B 574 (2000) 761 [hep-th/9910252].
11. M. Cvetic, H. Lü and C. Pope, Geometry of the embedding of supergravity scalar manifolds in D = 11 and D = 10, Nucl. Phys. B 584 (2000) 149 [hep-th/0002099].
12. J.P Gauntlett and O. Varela, D = 5 SU(2) x U(1) gauged supergravity from D = 11 supergravity, JHEP 02 (2008) 083 [arXiv:0712.3560].
13. J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv: 0901.0676].
14. I. Bah, A. Faraggi, J.I. Jottar, R.G. Leigh and L.A. Pando Zayas, Fermions and D = 11 supergravity on squashed Sasaki-Einstein manifolds, JHEP 02 (2011) 068 [arXiv: 1008.1423].
15. H. Lü, C. Pope and Z.-L. Wang, Pseudo-supersymmetry, consistent sphere reduction and Killing spinors for the bosonic string, Phys. Lett. B 702 (2011) 442 [arXiv: 1105. 6114].
16. E.O. Colgain and O. Varela, Consistent reductions from D = 11 beyond Sasaki-Einstein, Phys. Lett. B 703 (2011) 180 [arXiv: 1106.4781].
17. D. Cassani and P. Koerber, Tri-Sasakian consistent reduction, JHEP 01 (2012) 086 [arXiv: 1110. 5327].
18. T. Fischbacher, Fourteen new stationary points in the scalar potential of SO(8)-gauged N = 8, D = 4 supergravity, JHEP 09 (2010) 068 [arXiv:0912.1636].
19. T. Fischbacher, K. Pilch and N.P. Warner, New supersymmetric and stable non-supersymmetric phases in supergravity and holographic field theory, arXiv: 1010.4910.
20. 2 G [6; 14.7), arXiv: 1109.1424.
21. G. Dall'Agata and G. Inverso, On the vacua of N = 8 gauged supergravity in 4 dimensions, Nucl. Phys. B 859 (2012) 70 [arXiv: 1112.3345].
22. C. Ahn, J. Paeng and K. Woo, Towards new membrane flow from de Wit-Nicolai construction, arXiv: 1107. 0640.
23. P.G.O. Freund and M.A. Rubin, Dynamics of dimensional reduction, Phys. Lett. B 97 (1980) 233.
24. M.J. Duff and C.N. Pope, Kaluza-Klein supergravity and the seven-sphere, in Supersymmetry and supergravity '82, S. Ferrara et al. eds., World Scientific, Singapore (1983).
25. G.W. Gibbons, Consistent reductions of higher dimensional gravity and supergravity theories, in Deserfest: a celebration of the life and works of Stanley Deser, J.T. Liu et al. eds., World Scientific, Singapore (2006).
26. B. de Wit, H. Nicolai and N. Warner, The embedding of gauged N = 8 supergravity into D = 11 supergravity, Nucl. Phys. B 255 (1985) 29.
27. B. de Wit and H. Nicolai, Hidden symmetry in D = 11 supergravity, Phys. Lett. B 155 (1985) 47.
28. E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141.
29. R. Corrado, K. Pilch and N.P. Warner, An N = 2 supersymmetric membrane flow, Nucl. Phys. B 629 (2002) 74 [hep-th/0107220].
30. N. Bobev, A. Kundu, K. Pilch and N.P. Warner, in preparation
31. 2 invariant flow in M-theory, Nucl. Phys. B 627 (2002) 45 [hep-th/0112010].
32. C.-h. Ahn and T. Itoh, The eleven-dimensional metric for AdS/CFT RG flows with common SU(3) invariance, Nucl. Phys. B 646 (2002) 257 [hep-th/0208137].
33. C.N. Gowdigere and N.P. Warner, Flowing with eight supersymmetries in M-theory and F-theory, JHEP 12 (2003) 048 [hep-th/0212190].
34. C. Pope and N. Warner, A dielectric flow solution with maximal supersymmetry, JHEP 04 (2004) 011 [hep-th/0304132].
35. N. Bobev, N. Halmagyi, K. Pilch and N.P. Warner, Supergravity instabilities of non-supersymmetric quantum critical points, Class. Quant. Grav. 27 (2010) 235013 [arXiv:1006.2546].
36. H. Nastase and D. Vaman, On the nonlinear KK reductions on spheres of supergravity theories, Nucl. Phys. B 583 (2000) 211 [hep-th/0002028].
37. M. Awada, B. Nilsson and C. Pope, The supersymmetry transformation rules for Kaluza-Klein supergravity on the seven sphere, Phys. Rev. D 29 (1984) 334.
38. B.E. Nilsson, On the embedding of D = 4 N = 8 gauged supergravity in D = 11 N = 1 supergravity, Phys. Lett. B 155 (1985) 54.
39. 7 torsion in gauged N = 8 supergravity, Nucl. Phys. B 231 (1984) 506.
40. H. Nicolai and H. Samtleben, Compact and noncompact gauged maximal supergravities in three-dimensions, JHEP 04 (2001) 022 [hep-th/0103032].
41. B. de Wit, H. Samtleben and M. Trigiante, Gauging maximal supergravities, Fortsch. Phys. 52 (2004) 489 [hep-th/0311225].
42. B. de Wit and H. Nicolai, On the relation between D = 4 and D = 11 supergravity, Nucl. Phys. B 243 (1984) 91.
43. F. Englert, Spontaneous compactification of eleven-dimensional supergravity, Phys. Lett. B 119 (1982) 339.
44. B. de Wit and H. Nicolai, A new SO(7) invariant solution of D = 11 supergravity, Phys. Lett. B 148 (1984) 60.
45. 5, to be submitted to Rev. Mod. Phys.
46. D. Freedman, S. Gubser, K. Pilch and N. Warner, Renormalization group flows from holography supersymmetry and a c theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017].
47. C. Pope and N. Warner, An SU(4) invariant compactification of D = 11 supergravity on a stretched seven sphere, Phys. Lett. B 150 (1985) 352.