Spin(7) holonomy manifold and superconnection

Classical and Quantum Gravity

Volumn 18, Issue 5, 2001, Pages 807-816

  Yasui, Yukinori ^a   Ootsuka, Takayoshi ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529965     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/18/5/304     Document Type: Article

References (29)

1. Duff M J, Lü H, Pope C N and Sezgin E 1996 Supermembranes with fewer supersymmetries Phys. Lett. B 371 206-14 (Duff M J, Lü H, Pope C N and Sezgin E 1995 Preprint hep-th/9511162)
2. Duff M J, Lü H, Pope C N and Sezgin E 1996 Supermembranes with fewer supersymmetries Phys. Lett. B 371 206-14 (Duff M J, Lü H, Pope C N and Sezgin E 1995 Preprint hep-th/9511162)
3. Gauntlett J P, Gibbons G W, Papadopoulos G and Townsend P K 1997 Hyper-Kähler manifolds and multiply intersecting branes Nucl. Phys. B 500 133-62 (Gauntlett J P, Gibbons G W, Papadopoulos G and Townsend P K 1997 Preprint hep-th/9702202)
4. Gauntlett J P, Gibbons G W, Papadopoulos G and Townsend P K 1997 Hyper-Kähler manifolds and multiply intersecting branes Nucl. Phys. B 500 133-62 (Gauntlett J P, Gibbons G W, Papadopoulos G and Townsend P K 1997 Preprint hep-th/9702202)
5. Bakas I, Floratos E G and Kehagias A 1998 Octonionic gravitational instantons Phys. Lett. B 445 69-76 (Bakas I, Floratos E G and Kehagias A 1998 Preprint hep-th/9810042)
6. Bakas I, Floratos E G and Kehagias A 1998 Octonionic gravitational instantons Phys. Lett. B 445 69-76 (Bakas I, Floratos E G and Kehagias A 1998 Preprint hep-th/9810042)
7. Brecher D and Perry M J 2000 Ricci-flat branes Nucl. Phys. B 566 151-72 (Brecher D and Perry M J 1999 Preprint hep-th/9908018)
8. Brecher D and Perry M J 2000 Ricci-flat branes Nucl. Phys. B 566 151-72 (Brecher D and Perry M J 1999 Preprint hep-th/9908018)
9. Besse L 1980 Einstein Manifolds (Berlin: Springer)
10. Acharya B S and O'Loughlin M 1997 Self-duality in D ≤ 8-dimensional Euclidean gravity Phys. Rev. D 55 4521-4
11. (Acharya B S and O'Loughlin M 1996 Preprint hep-th/9612182)
12. Ashtekar A, Jacobson T and Smolin L 1988 A new characterization of half-flat solutions to Einstein's equation Commun. Math. Phys. 115 631-48
13. Mason L J and Newman E T 1989 A connection between the Einstein and Yang-Mills equations Commun. Math. Phys. 121 659-68
14. Donaldson S K 1992 Complex cobordism, Ashtekar's equations and diffeomorphisms Symplectic Geometry ed D Salamon (London: London Mathematical Society) pp 45-55
15. Hashimoto Y, Yasui Y, Miyagi S and Ootsuka T 1997 Applications of the Ashtekar gravity to four-dimensional hyper-Kähler geometry and Yang-Mills instantons J. Math. Phys. 38 5833-9
16. Bryant R L and Salamon S M 1989 On the construction of some complete metrics with exceptional holonomy Duke Math. J. 58 829-50
17. 4 bundles Commun. Math. Phys. 127 529-53
18. Harvey F R 1990 Spinor and Calibrations (New York: Academic)
19. Dündarer R, Gürsey F and Tze C 1984 Generalized vector products, duality and octonionic identities in D = 8 geometry J. Math. Phys. 25 1496-506
20. Joyce D 1996 Compact 8-manifolds with holonomy spin Invent. Math. 123 507-52
21. Eguchi T, Gilkey P B and Hanson A J 1980 Gravitation, gauge theories and differential geometry Phys. Rep. 66 213-393
22. Atiyah M F, Hitchin N J 1988 The Geometry and Dynamics of Magnetic Monopoles (Princeton, NJ: Princeton University Press)
23. Quillen D 1985 Superconnections and the Chern character Topology 24 89-95
24. Berline N, Getzler E and Vergine M 1991 Heat Kernels and Dirac Operators (Berlin: Springer)
25. Baulieu L, Losev A and Nekrasov N 1998 Chern-Simons and twisted supersymmetry in various dimensions Nucl. Phys. B 522 82-104 (Baulieu L, Losev A and Nekrasov N 1997 Preprint hep-th/9707174)
26. Baulieu L, Losev A and Nekrasov N 1998 Chern-Simons and twisted supersymmetry in various dimensions Nucl. Phys. B 522 82-104 (Baulieu L, Losev A and Nekrasov N 1997 Preprint hep-th/9707174)
27. Jacobson T and Smolin L 1988 Covariant action for Ashtekar's form of canonical gravity Class. Quantum Grav. 5 583-94
28. Plebañski J F 1975 Some solutions of complex Einstein equations J. Math. Phys. 16 2395-402
29. Vaisman I 1994 Lectures on the Geometry of Poisson Manifolds (Boston, MA: Birkhäuser)