Ricci-flat metrics, harmonic forms and brane resolutions

Communications in Mathematical Physics

Volumn 232, Issue 3, 2003, Pages 457-500

  Cvetic M ^a,c,f   Gibbons, G W ^b   Lu H ^d   Pope, C N ^e,f  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c RUTGERS UNIVERSITY   (United States)

^d UNIVERSITY OF MICHIGAN   (United States)

^e TEXAS A AND M UNIVERSITY   (United States)

^f INSTITUT HENRI POINCARÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037273965     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-002-0730-3     Document Type: Article

References (42)

1. Klebanov, I.R., Tseytlin, A.A.: Gravity duals of supersymmetric SU(N) × SU(N + m) gauge theories. Nucl. Phys. B578, 123 (2000) [hep-th/0002159]
2. Klebanov, I.R., Strassler, M.J.: Supergravity and a confining gauge theory: Duality cascades and χSB-resolution of naked singularities. JHEP 0008, 052 (2000) [hep-th/0007191]
3. 5. Phys. Rev. D63, 026001 (2001) [hep-th/0009211]
4. Gubser, S.S.: Supersymmetry and F-theory realization of the deformed conifold with three-form flux, hep-th/0010010
5. Pando Zayas, L.A., Tseytlin, A.A.: 3-branes on a resolved conifold. JHEP 0011, 028 (2000) [hep-th/0010088]
6. Cvetič, M. Lü, H., Pope, C.N.: Brane resolution through transgression. Nucl. Phys. B600, 103-132 (2001) [hep-th/0011023]
7. Bigazzi, F., Giradello, L, Zaffaroni, A.: A note on regular type 0 solutions and confining gauge theories. Nucl. Phys. B598, 530-542 (2001) [hep-th/0011041]
8. Bertolini, M., Di Vecchia, P., Frau, M., Lerda, A. Marotta, R. Pesando, I.: Fractional D-branes and their gauge duals. JHEP 0102, 014 (2001) [hep-th/0011077]
9. Hawking, S.W., Taylor-Robinson, M.M.: Bulk charges in eleven dimensions. Phys. Rev. D58, 025006 (1998) [hep-th/9711042]
10. Stenzel, M.B.: Ricci-flat metrics on the complexification of a compact rank one symmetric space. Manuscripta Mathematica 80, 151 (1993)
11. Eguchi, T., Hanson, A.J.: Asymptotically flat self-dual solutions to Euclidean gravity. Phys. Lett. B74, 249 (1978)
12. Cvetič, M., Gibbons, G.W., Lü, H. Pope, C.N.: Supersymmetric non-singular fractional D2-branes and NS-NS 2-branes. Nucl. Phys. B606, 18-44 (2001) [hep-th/0101096]
13. Candelas, P., de la Ossa, X.C.: Comments on conifolds. Nucl. Phys. B342, 246 (1990)
14. Gibbons, G.W., Pope, C.N.: The positive action conjecture and asymptotically Euclidean metrics in quantum gravity. Commun. Math. Phys. 66, 267 (1979)
15. Segal, G.B., Selby, A.: The cohomology of the space of magnetic monopoles. Commun. Math. Phys. 177, 775 (1996)
16. de Rham, G.: Differential Manifolds. Springer-Verlag, Berlin, Heidelberg, New York (1988)
17. 2 cohomology of hyperkähler quotients. math.DG/9909002
18. Etesi, G., Hausel, T.: Geometric interpretation of Schwarzschild instantons. J. Geom. Phys. 37, 126-136 (2001) [hep-th/0003239]
19. Atiyah, M.F., Patodi, V.K. Singer, I.M.: Spectral Assymetry and Riemannnian Geometry 1. Math. Proc. Camb. Phil. Soc. 77, 43 (1975)
20. Dancer, A.S., Strachan, I.A.B.: Einstein metrics of cohomogeneity one. Unpublished preprint
21. Duff, M.J., Evans, J.M., Khuri, R.R., Lu, J.X., Minasian, R.: The octonionic membrane. Phys. Lett. B412, 281 (1997) [hep-th/9706124]
22. Greene, B.R., Schalm, K., Shiu, G.: Warped compactifications in M and F theory. Nucl. Phys. B584, 480 (2000) [hep-th/0004103]
23. Becker, K., Becker, M.: Compactifying M-theory to four dimensions. JHEP 0011, 029 (2000) [hep-th/0010282]
24. Becker, K.: A note on compactifications on Spin(7)-holonomy manifolds. JHEP 0105, 003 (2001) [hep-th/0011114]
25. Dancer, A.S., Wang, M.Y.: Kähler-Einstein metrics of cohomogeneity one. Math. Ann. 312, 503 (1998)
26. Dancer, A.S., Wang, M.Y.: The comhogeneity one Einstein equations from the Hamiltonian viewpoint. J. Reine Angew. Math. 524, 97 (2000)
27. Hoxha, P., Martinez-Acosta, R.R., Pope, C.N.: Kaluza-Klein consistency, Killing vectors and Kähler spaces. Class. Quant. Grav. 17, 4207 (2000) [hep-th/0005172]
28. Page, D.N., Pope, C.N.: Stability analysis of compactifications of D = 11 supergravity with SU(3) × SU(2) × U(1) symmetry. Phys. Lett. B145, 337 (1984)
29. Berard-Bergery, L.: Quelques exemples de varietes riemanniennes completes non compactes a courbure de Ricci positive. C.R. Acad. Sci., Paris, Ser. I 302, 159 (1986).
30. Page, D.N., Pope, C.N.: Inhomogeneous Einstein metrics on complex line bundles. Class. Quantum Grav. 4, 213 (1987)
31. Schwarz, J.H.: Covariant Field Equations of Chiral N = 2 D = 10 Supergravity. Nucl. Phys. B226, 269 (1983)
32. 3 topology. [hep-th/0101043]
33. Bryant, R.L., Salamon, S.: On the construction of some complete metrics with exceptional holonomy. Duke Math. J. 58, 829 (1989)
34. 4 bundles. Commun. Math. Phys. 127, 529 (1990)
35. Kraus, P., Larsen, F., Trivedi, S.P.: The Coulomb branch of gauge theory from rotating branes. JHEP 9903, 003 (1999) [hep-th/9811120]
36. Freedman, D.Z., Gubser, S.S., Pilch, K., Warner, N.P.: Continuous distributions of D3-branes and gauged supergravity. JHEP 0007, 038 (2000) [hep-th/9906194]
37. Brandhuber, A., Sfetsos, K.: Nonstandard compactification with mass gaps and Newton's Law. JHEP 9910, 013 (1999) [hep-th/9908116]
38. Bakas, I., Sfetsos, K.: States and curves of five-dimensional gauged supergravity. Nucl. Phys. B573, 768 (2000) [hep-th/9909041]
39. Cvetič, M., Gubser, S.S., Lü, H. Pope, C.N.: Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories. Phys. Rev. D62, 086003 (2000) [hep-th/99091211]
40. Bakas, I. Brandhuber, A., Sfetsos, K.: Domain walls of gauged supergravity, M-branes and algebraic curves, hep-th/9912132
41. Cvetic, M. Lü, H., Pope, C.N.: Consistent sphere reductions and universality of the Coulomb branch in the domain-wall/QFT correspondence. Nucl. Phys. B590, 213 (2000) [hep-th/0004201]
42. Herzog, C.P., Klebanov, I.R.: Gravity duals of fractional branes in various dimensions. hep-th/0101020