SU(3)-instantons and G2,Spin(7)-heterotic string solitons

Communications in Mathematical Physics

Volumn 259, Issue 1, 2005, Pages 79-102

  Ivanov, Petar ^a   Ivanov, Stefan ^a  

^a UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23944451140     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1396-4     Document Type: Article

References (74)

1. Agricola, I.: Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Commun. Math. Phys. 232, 536-563 (2003)
2. Alessandrini, L., Bassanelli, G.: Metric properties of manifolds bimeromorphic to compact Kähler manifolds. J. Diff. Geom. 37, 95-121 (1993)
3. Alexandrov, B., Friedrich, Th., Schoemann, N.: Almost Hermitian 6-manifolds Revisited. J. Geom. Phys. 53, 1-30 (2005)
4. Alexandrov, B., Ivanov, S.: Vanishing theorems on Hermitian manifolds. Diff. Geom. Appl. 14(3), 251-265 (2001)
5. Apostolov, V., Salamon, S.: Kaehler reduction of metrics with holonomy G. Commun. Math. Phys. 246, 43-61 (2004)
6. Becker, K., Becker, M., Dasgupta, K., Green, P.S.: Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I. JHEP 0304, 007 (2003)
7. Becker, K., Becker, M., Dasgupta, K., Green, P.S., Sharpe, E.: Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II. Nucl. Phys. B678, 19-100 (2004)
8. Behmdt, K., Jeschek, C.: Fluxes in M-theory on 7-manifolds: G-structures and Superpotential. Nucl. Phys. 6694, 99-114 (2004)
9. Belgun, F., Moroianu, A.: Nearly Kähler 6-manifolds with reduced holonomy. Ann. Global Anal. Geom. 19(4), 307-319 (2001)
10. Bergshoeff, E.A., de Roo, M.: The quartic effective action of the heterotic string and supersymmetry. Nucl. Phys. B328, 439 (1989)
11. 2 Holonomy from Self-duality, Flux and Supersymmetry. Nucl.Phys. B628, 112-132 (2002)
12. Bismut, J.-M.: A local index theorem for non-Kähler manifolds. Math. Ann. 284(4), 681-699 (1989)
13. Blair, D.: Contact manifolds in Riemannian geometry. Lect. Notes Math. Vol. 509, Berlin-Heidelberg-New York: Springer Verlag, 1976
14. 2 Holonomy Metrics. Nucl. Phys. B611, 179-204 (2001)
15. 2 ou Spin(1). C. R. Acad. Sci. Paris 262, 127-129 (1966)
16. Bryant, R.: Metrics with exeptional holonomy. Ann. Math. 126, 525-576 (1987)
17. Bryant, R., Salamon, S.: On the construction of some complete metrics with exceptional holonomy. Duke Math. J. 58, 829-850 (1989)
18. Cabrera, F.: On Riemannian manifolds with Spin(7)-structure. Publ. Math. Debrecen 46(3-4), 271283 (1995)
19. 2-structure. Bolletino UMI A 10(7), 98-112 (1996)
20. 2-structures. J. Lond. Math. Soc. 53, 407-416 (1996)
21. Cardoso, G.L., Curio, G., Dall'Agata, G., Lust, D., Manousselis, P., Zoupanos, G.: Non-Kaehler String Backgrounds and their Five Torsion Classes. Nucl.Phys. B652, 5-34 (2003)
22. Cardoso, G.L., Curio, G., Dall'Agata, G., Lust, D.: BPS Action and Superpotential for Heterotic String Compactifications with Fluxes. JHEP 0310, 004 (2003)
23. 2-structures. In: Differential Geometry, Valencia 2001, Singapore World Sci. Publishing, 2002, pp. 115-133
24. Corrigan, E., Devchand, C., Fairlie, D.B., Nuyts, J.: First-order equations for gauge fields in spaces of dimension greater than four. Nucl. Phys. B 214(3), 452-464 (1983)
25. de Wit, B., Smit, D.J., Hari Dass, N.D.: Residual Supersimmetry Of Compactified D=10 Supergravity. Nucl. Phys. B 283, 165 (1987)
26. Donaldson, S.K., Thomas, R.P.: Gauge theory in higher dimensions. In: The geometric universe (Oxford, 1996), Oxford: Oxford Univ. Press, 1998, pp 31-47
27. Fairlie, D.B., Nuyts, J.: Spherically symmetric solutions of gauge theories in eight dimensions. J. Phys. A17, 2867 (1984)
28. Fernandez, M.: A classification of Riemannian manifolds with structure group Spin(7). Ann. Mat. Pura Appl. 143, 101-122 (1982)
29. 2. Ann. Mat. Pura Appl. 32(4), 19-45 (1982)
30. 2-manifolds. Geom. Dedicata70(1), 57-86 (1998)
31. Freedman, D.Z., Gibbons, G.W., West, P.C.: Ten Into Four Won't Go. Phys. Lett. B 124, 491 (1983)
32. Friedrich, Th., Ivanov, S.: Parallel spinors and connections with skew-symmetric torsion in string theory. Asian J. Math. 6, 3003-3036 (2002)
33. Friedrich, Th., Ivanov, S.: Almost contact manifolds, connections with torsion, parallel spinors. J. Reine Angew. Math. 559, 217-236 (2003)
34. 2 manifolds. J. Geom. Phys 48, 1-11 (2003)
35. Friedrich, Th., Kath, I.: 7-dimensional compact Riemannian manifolds with Killing spinors. Commun. Math. Phys. 133(3), 543-561 (1990)
36. 2-structures. J. Geom. Phys. 23(3-4), 259-286 (1997)
37. Fubini, S., Nikolai, H.: The octonionic instanton. Phys. Let. B 155, 369 (1985)
38. Gauduchon, P.: Hermitian connections and Dirac operators. Boll. Un. Mat. Ital. B (7) 11(2), Suppl., 257-288 (1997)
39. Gauduchon, P.: Fibres hermitiens à endomorphisme de Ricci non négatif. Bull. Soc. Math. France 105(2). 113-140 (1977)
40. Gauntlett, J., Kim, N., Martelli, D., Waldram, D.: Fivebranes wrapped on SLAG three-cycles and related geometry. JHEP 0111, 018 (2001)
41. Gauntlett, J.P., Martelli, D., Pakis, S., Waldram, D.: G-Structures and Wrapped NS5-Branes. Commun. Math. Phys. 247, 421-445 (2004)
42. Gauntlett, J., Martelli, D., Waldram, D.: Superstrings with Intrinsic torsion. Phys. Rev. D69, 086002 (2004)
43. Gibbons, G.W., Lu, H., Pope, C.N., Stelle, K.S.: Supersymmetric Domain Walls from Metrics of Special Holonomy. Nucl. Phys. B623, 3-46 (2002)
44. 4 bundles. Commun. Math. Phys. 127, 529-553 (1990)
45. Gillard, J., Papadopoulos, G., Tsimpis, D.: Anomaly, Fluxes and (2,0) Heterotic-String Compactifications. JHEP 0306, 035 (2003)
46. Goldstein, E., Prokushkin, S.: Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure. Commun. Math. Phys. 251, 65-78 (2004)
47. Gray, A.: Vector cross product on manifolds. Trans. Am. Math. Soc. 141, 463-504 (1969) Correction 148, 625 (1970)
48. Gray, A., Hervella, L. : The sixteen classes of almost Hermitian manifolds and their linear invariants. Ann. Mat. Pura Appl. 123(4), 35-58 (1980)
49. Gurrieri, S., Micu, A.: Type IIB Theory on Half-flat Manifolds. Class.Quant.Grav. 20, 2181-2192 (2003)
50. Gurrieri, S., Louis, J., Micu, A., Waldram, D.: Mirror Symmetry in Generalized Calabi-Yau Compactifications. Nucl.Phys. B654, 61-113 (2003)
51. Gutowski, J., Ivanov, S., Papadopoulos, G.: Deformations of generalized calibrations and compact non-Kahler manifolds with vanishing first Chern class. Asian J. Math. 7, 39-80 (2003)
52. Günaydin, M., Nikolai, H.: Seven-dimensional octonionic Yang-Mills instanton and its extension to an heterotic string soliton. Phys. Lett. B 353, 169 (1991)
53. Harvey, R., Lawson, H.B.: Calibrated geometries. Acta Math. 148, 47-157 (1982)
54. Harvey, J.A., Strominger, A.: Octonionic superstring solitons. Phys. Review Let. 66(5), 549 (1991)
55. Hitchin, N.: Stable forms and special metrics. In: Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao, 2000), Contemp. Math. 288, Providence, RI: Amer. Math. Soc., 2001 pp. 70-89
56. Ivanov, S.: Geometry of quaternionic Kähler connections with torsion. J. Geom. Phys. 41(3), 235257 (2002)
57. Ivanov, S.: Connection with torsion, parallel spinors and geometry of Spin(7) manifolds. Math. Res. Lett. 11(2-3), 171-186 (2004)
58. Ivanov, S., Papadopoulos, G.: A no-go theorem for string warped compactifications. Phys.Lett. B497, 309-316 (2001)
59. Ivanov, S., Papadopoulos, G.: Vanishing Theorems and String Backgrounds. Class.Quant.Grav. 18, 1089-1110 (2001)
60. Joyce, D.: Compact Riemannian 7-manifolds with holonomy 62. I. J.Diff. Geom. 43, 291-328 (1996)
61. 2. II. J.Diff. Geom. 43, 329-375 (1996)
62. Joyce, D. : Compact Riemannian manifolds with special holonomy, Oxford Oxford University Press, 2000
63. Kachru, S., Schulz, M.B., Tripathy, P.K., Trivedi, S.P.: New Supersymmetric String Compactifications. JHEP 0303, 061 (2003)
64. Kirichenko, V.: K-spaces of maximal rank. Mat. Zam. 22, 465-476 (1977) (In Russian)
65. Kovalev, A.: Twisted connected sums and special Riemannian holonomy. J. Reine Angew. Math. 565. 125-160 (2003)
66. Lawson, B., Michelsohn, M.-L.: Spin Geometry. Princeton, NJ: Princeton University Press, 1989
67. Malcev, A.I.: On a class of homogeneous spaces. Reprinted in Amer. Math. Soc. Trans. Series 1, 9, 276-307 (1962)
68. Michelsohn, M.L.: On the existence of special metrics in complex geometry. Acta Math. 149(3-4), 261-295 (1982)
69. Papadopoulos, G.: (2,0)-supersymmetric sigma models and almost complex structures. Nucl.Phys. B448, 199-219 (1995)
70. Reyes Carrin, R.: A generalization of the notion of instanton. Diff. Geom. Appl. 8(1), 1-20 (1998)
71. Salamon, S.: Riemannian geometry and holonomy groups. Pitman Res. Notes Math. Ser. 201, London: Pitman 1989
72. Salamon, S.: Almost parallel structures. In: Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao, 2000), Contemp. Math. 288, Providence, RI: Amer. Math. Soc. 2001 pp 162-181
73. Strominger, A.: Superstrings with torsion. Nucl. Phys. B 274, 253 (1986)
74. Ugarte, L.: Coeffective Numbers of Riemannian 8-manifold with Holonomy in Spin(7). Ann. Glob. Anal. Geom. 19, 35-53 (2001)